Theoretical Physics MPhys
Explore the mathematical principles that define physics with our accredited MPhys Theoretical Physics course. Build a detailed understanding of concepts across physics and mathematics, and spend most of your final year working on your own research project.
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A Levels
AAA -
UCAS code
F321 -
Duration
4 years -
Start date
September -
Attendance
Full-time
- Accredited
- Course fee
- Funding available
- Optional placement year
- Study abroad
Explore this course:
Course description
Why study this course?
1st in the Russell Group for learning opportunities and learning resources in physics
National Student Survey 2025
Top 20 in the UK for physics and astronomy
Complete University Guide 2026
1st in the UK for the quality of physics research
Research Excellence Framework 2021
Institute of Physics (IOP) accredited course
This course is accredited by the IOP for fully meeting the educational requirement for Chartered Physicist.
Opt to spend a full year on a work placement
Test out a career path, build up your CV and grow your network of contacts.
Our accredited four year MPhys Theoretical Physics course puts an emphasis on the fundamental mathematics behind the principles of physics and provides you with valuable research experience.
In your first two years, you’ll study fundamental physics theories like heat, motion and quantum mechanics. You’ll also build a more detailed understanding of mathematical concepts that underpin physics including vector calculus, linear algebra, and mathematical models.
You’ll gain hands-on experience in our specialist teaching lab, developing lab skills and learning how theories can be applied in the real world. You’ll also take part in programming classes, which will teach you skills that are valuable in a variety of graduate careers ranging from data science to computer game design.
In your third year, you’ll continue to explore essential concepts in theoretical physics in even more detail. You’ll develop your expertise by choosing a specialist pathway, such as mathematical physics, particle and nuclear physics, quantum technologies, or computational physics. You’ll also have the opportunity to branch out into a variety of areas through more in-depth optional modules.
You'll get the chance to investigate a real-world problem and refine your technical skills by completing a research project. You’ll choose from a range of different areas, including industrial group work, data science, physics education, our Quantum Information Laboratory, or a project working within a research group.
In your fourth year, you’ll have the freedom to tailor your degree to your interests through advanced optional modules. You’ll also have the opportunity to develop your research skills through a year-long research project. You’ll work with academic researchers who are experts in their field to investigate a real scientific question, gaining time management, project planning and analysis skills, which are valuable for careers in research or industry.
Accreditation
Accredited by the Institute of Physics (IOP) for the purpose of fully meeting the educational requirement for Chartered Physicist.
Modules
UCAS code: F321
Years: 2026, 2027
Core modules:
- Fundamental Physics and Mathematics I: Mechanics, Oscillations, Waves and Thermal Physics
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This core module will give you an understanding of the fundamental physical principles, mathematical tools, and laboratory skills you'll use throughout your degree.Â
40 credits
You'll learn about key physical principles, such as Newton's laws, linear and rotational equations of motion, the wave equation, the laws of thermodynamics, and heat transfer.Â
You'll also learn about the linear algebra and calculus that underpins these principles, covering differentiation and integration, complex numbers, matrices and differential equations.Â
You'll build a strong foundation in laboratory techniques through hands-on experience. You'll learn how to build and use DC circuits and set up experiments to test principles, including kinematic motion, standing and travelling waves, heat engines, and diffraction. - Fundamental Physics and Mathematics II: Electricity, Magnetism and Quantum Physics
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In this core module you'll further develop your knowledge of the fundamental physical principles, mathematical tools and laboratory skills needed for your degree.
40 credits
You'll explore topics across electricity, magnetism and quantum physics, such as electric potentials and fields, electrical circuits, magnetic fields, the Lorentz force, the photo-electric effect, and the quantum wave function. You'll also learn to describe these phenomena through vector calculus and probability theory.
You'll gain hands-on experience of conducting laboratory work. You'll test various aspects of physical principles, including measuring and mapping electric and magnetic fields, and building and using AC circuits. - Investigating Nature: the Physicist's Toolbox
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This core module provides you with the foundational skills and techniques necessary for success as a physicist. You'll learn how to use self-study skills for independent learning, conduct and report on research projects ethically, and integrate AI responsibly. You'll learn how to import and analyse data in Python, and present these results professionally. You'll also develop your interpersonal and team-management abilities by working with your coursemates on a group project, such as analysing optical precision instruments.
20 credits
You'll employ general problem-solving techniques that are routinely used in physics, including dimensional analysis, making approximations, and checking your calculations using order-of-magnitude estimations, limiting behaviour, and symmetry considerations.
Through employability workshops, you'll receive guidance on how to showcase your achievements effectively to help secure projects, placements, and graduate opportunities. - Mathematical modelling
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Mathematics is the language of science. By framing a scientific question in mathematical language, it is possible to gain deep insight into the empirical world. This module aims to give students an appreciation of this astonishing phenomenon. It will introduce them to the concept of mathematical modelling via examples from throughout science, which may include biology, physics, environmental sciences, and more. Along the way, a range of mathematical techniques will be learned that tend to appear in empirical applications. These may include (but not necessarily be limited to) difference and differential equations, calculus, and linear algebra.
20 credits
In your second year, you’ll explore essential physics and mathematics concepts in more detail, and continue to develop your programming and analytical skills.
Example modules:
- Fundamental Physics and Mathematics III: Thermal Physics, Special Relativity and Mathematical Methods
- Fundamental Physics and Mathematics IV: Quantum Physics, Solids and Electromagnetism
- Differential Equations
- Instrumentation, Data Processing and Python
In your third year, you’ll gain valuable research experience by undertaking a project and skills module. You’ll also develop your expertise in the areas of theoretical physics that appeal to you most by choosing from a specialist pathway.
Example pathways:
- Mathematical physics
- Particle and nuclear physics
- Quantum technologies
- Computational physics
You’ll have the opportunity to choose from a range of optional modules, including topics such as quantum theory and electrodynamics, statistical mechanics, dark matter and cosmology, and machine learning.
Core modules:
- Research project
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Students will undertake a supervised research project during the whole of the 4th year of an MPhys degree, applying their scientific knowledge to a range of research problems experimental and/or theoretical projects spanning the research expertise of the Department. Along with applying their knowledge, students will manage their project, ensuring that they develop skills in time management, project planning, scientific record keeping, information retrieval and analysis from scientific and other technical information sources.
60 credits
Optional modules:
A student will take 60 credits (four modules) from this group.
Photonics and Nonlinear Optics
Quantum Computing
Scientific Computing
Enterprise and Innovation
Nuclear Astrophysics
The Standard Model of Particle Physics
- Fundamental Physics from Symmetries
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In this module you will learn how symmetries under rotations, translations, and Lorentz boosts lead to the mathematical structure of the fundamental physical theories of Nature. We will develop the formalism of Lagrangian densities and prove Noether's theorem that links symmetries to physical conservation laws. We introduce Lie theory, which provides an elegant framework for capturing the consequences of symmetries for our physical theories. You will apply this framework to examples that include scalar fields such as the Higgs field, vector fields such as Yang-Mills fields with additional gauge symmetries, and classical Dirac spinor fields. Finally, you will explore the role of symmetry breaking.
15 credits - Quantum Field Theory
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In this module you will learn how the fundamental theories of physics are turned into quantum field theories via a process called 'canonical quantisation'. The extended version of Noether's theorem is proved, which determines the conserved quantities in quantum field theory. You will study the free scalar quantum field and the interacting scalar field, which leads to the Feynman rules and diagrams used in particle scattering calculations. You will encounter the Poincaré group, which will lead to the formulation of the Lagrangian of quantum electrodynamics (QED) and its Feynman rules. You will discover how the infinities that crop up in the theory can be avoided using renormalisation theory.
15 credits - General Relativity
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Einstein's theory of General Relativity is one of the most accurate and successful theories in physics, and stands as one of the foundational pillars of modern physics. In this module you will learn how General Relativity is built up, starting with the Equivalence Principle and how it leads to the fundamental laws of General Relativity, namely the Einstein equations. You will study the solutions to these equations, including Schwartzschild black holes, the Robertson-Walker expanding universe and gravitational waves. You will study aspects of differential geometry, which is the mathematical framework of General Relativity, and encounter objects such as the metric tensor and the Riemann curvature tensor. Finally, you will learn about the two predictions of General Relativity that convinced the world that the theory is, in essence, correct: the bending of light around stars and the anomalous precession of Mercury's orbit.
15 credits
The content of our courses is reviewed annually to make sure it's up-to-date and relevant. Individual modules are occasionally updated or withdrawn. This is in response to discoveries through our world-leading research; funding changes; professional accreditation requirements; student or employer feedback; outcomes of reviews; and variations in staff or student numbers. In the event of any change we will inform students and take reasonable steps to minimise disruption.
Learning and assessment
Learning
To make sure you get the skills and knowledge that every physicist needs, you’ll learn through lectures, small group tutorials, programming classes, practical sessions in the lab and research projects.
Assessment
You’ll be assessed in a variety of ways, including a portfolio of problem sets and lab work, as well as exams, essays, lab reports and presentations.
Entry requirements
With Access Sheffield, you could qualify for additional consideration or a contextual offer - find out if you're eligible.
The A Level entry requirements for this course are:
AAA
including Maths and Physics + pass in the practical element of any science A Levels taken
- A Levels + a fourth Level 3 qualification
- AAB, including Maths and Physics + B in a relevant EPQ
- International Baccalaureate
- 36, with 6 in Higher Level Maths and Physics; 34, with 6 in Higher Level Maths and Physics, and A in a physics-based extended essay
- BTEC Extended Diploma
- Not accepted
- BTEC Diploma
- Not accepted
- Scottish Highers + Advanced Higher/s
- AAABB + AA in Maths and Physics
- Welsh Baccalaureate + 2 A Levels
- A + AA in Maths and Physics
- Access to HE Diploma
- Award of the Access to HE Diploma in Science, with 45 credits at Level 3, including 39 at Distinction (all in Maths/Physics units) and 6 at Merit
The A Level entry requirements for this course are:
AAB
including Maths and Physics + pass in the practical element of any science A Levels taken
- A Levels + a fourth Level 3 qualification
- AAB, including Maths and Physics + B in a relevant EPQ
- International Baccalaureate
- 34, with 6, 5 (in any order) in Higher Level Maths and Physics
- BTEC Extended Diploma
- Not accepted
- BTEC Diploma
- Not accepted
- Scottish Highers + Advanced Higher/s
- AABBB + AB in Maths and Physics
- Welsh Baccalaureate + 2 A Levels
- B + AA in Maths and Physics
- Access to HE Diploma
- Award of the Access to HE Diploma in Science, with 45 credits at Level 3, including 36 at Distinction (all in Maths/Physics units) and 9 at Merit
You must demonstrate that your English is good enough for you to successfully complete your course. For this course we require: GCSE English Language at grade 4/C; IELTS grade of 6.5 with a minimum of 6.0 in each component; or an alternative acceptable English language qualification
Equivalent English language qualifications
Visa and immigration requirements
Other qualifications | UK and EU/international
If you have any questions about entry requirements, please contact the school.
Graduate careers
School of Mathematical and Physical Sciences
You won’t be short of career options with a degree in physics from Sheffield. Our courses are designed to give you the skills that will help you succeed. Employers hire our graduates because of their ability to plan projects, work to deadlines, analyse data and solve complex problems.
A physics degree from Sheffield can take you far, whatever you want to do. Whether you want a job that involves developing renewable energy technologies, improving medical treatments, creating quantum telecommunications systems or exploring outer space.
We have graduates putting their skills to use in a variety of careers, including:
- research and development
- computing and software development
- data science
- engineering
- finance and consultancy
- public sector roles in healthcare and government
- education.
Our graduates have gone on to work for companies such as BT, BAE Systems, Deloitte, HSBC, IBM, the Ministry of Defence, the NHS and Rolls Royce.
Many of our students choose to pursue a career in research. Sheffield graduates have secured PhDs at many of the world's top 100 universities and have gone on to work at major international research facilities, such as CERN and ESA.
We are part of the White Rose Industrial Physics Academy (WRIPA), a partnership with other universities and technical industries. Our students benefit from collaborations with industrial partners through internships, year in industry placements, final-year projects and careers activities. WRIPA also organises the UK’s largest physics recruitment fair, where our students can meet potential employers.
School of Mathematical and Physical Sciences
Department statistics
100 per cent of our physics research and impact is rated as world leading or internationally excellent
Research Excellence Framework 2021
The School of Mathematical and Physical Sciences is leading the way with groundbreaking research and innovative teaching.
Our physics and astronomy researchers are focusing on some of the biggest questions in science, such as how to build a quantum computer, how to detect dark matter and how to distribute clean energy.
Our lecturers run experiments on the Large Hadron Collider at CERN, help to map the Universe using the Hubble and James Webb Space Telescopes, and are working with the National Grid to help maximise the potential of solar energy.
To help our students feel part of a community, the Physics Society (PhySoc) organises activities ranging from guest lectures to the annual Hicks Ball. Our students can also take part in an LGBT+ support group and a crafts group.
Facilities
Physics and astronomy students are based in the Hicks Building, which has classrooms, lecture theatres, computer rooms and specialist undergraduate teaching laboratories.
We have telescopes and a solar technology testbed on the roof, and run a telescope at the Isaac Newton Group of Telescopes on La Palma in the Canary Islands.
We’re home to the UK’s first Quantum Information Laboratory, where students can study the fundamental science behind the next technological revolution.
We also have facilities for building super-resolution microscopes and analysing 2D materials.
University rankings
A world top-100 university
QS World University Rankings 2026 (92nd)
Number one in the Russell Group (based on aggregate responses)
National Student Survey 2025
92 per cent of our research is rated as world-leading or internationally excellent
Research Excellence Framework 2021
University of the Year for Student Experience
The Times and The Sunday Times Good University Guide 2026
Number one Students' Union in the UK
Whatuni Student Choice Awards 2024, 2023, 2022, 2020, 2019, 2018, 2017
Number one for Students' Union
StudentCrowd 2025 University Awards
7th best University for Work Experience
Higherin 2026-27
Student profiles
What it's really like to study in the School of Mathematical and Physical Sciences
We asked some of our students and graduates to share their experiences of studying at the ±¬ÁÏTV, and to tell us what they've ended up doing with their degree.
Fees and funding
Fees
Additional costs
The annual fee for your course includes a number of items in addition to your tuition. If an item or activity is classed as a compulsory element for your course, it will normally be included in your tuition fee. There are also other costs which you may need to consider. These costs may increase due to price increases outside of the University’s control, if you defer entry or if you choose to change course.
Funding your study
Depending on your circumstances, you may qualify for a bursary, scholarship or loan to help fund your study and enhance your learning experience.
Use our Student Funding Calculator to work out what you’re eligible for.
Placements and study abroad
Placement
Our students have secured placements with a range of organisations, including CERN, Jaguar Land Rover, Sellafield, EDF Energy, the Isaac Newton Group of Telescopes, and UK Research and Innovation.
Research experience
Develop your research skills through the Sheffield Undergraduate Research Experience (SURE) scheme. This initiative gives you the opportunity to gain paid research experience, working in one of our research groups over the summer in an area of physics that you’re excited about.
Study abroad
Visit
University open days
We host five open days each year, usually in June, July, September, October and November. You can talk to staff and students, tour the campus and see inside the accommodation.
Online events
Join our weekly Sheffield Live online sessions to find out more about different aspects of University life.
Subject tasters
If you’re considering your post-16 options, our interactive subject tasters are for you. There are a wide range of subjects to choose from and you can attend sessions online or on campus.
Offer holder days
If you've received an offer to study with us, we'll invite you to one of our offer holder days, which take place between February and April. These open days have a strong department focus and give you the chance to really explore student life here, even if you've visited us before.
Campus tours
Our weekly guided tours show you what Sheffield has to offer - both on campus and beyond. You can extend your visit with tours of our city, accommodation or sport facilities.
Apply
The awarding body for this course is the ±¬ÁÏTV.
Recognition of professional qualifications: from 1 January 2021, in order to have any UK professional qualifications recognised for work in an EU country across a number of regulated and other professions you need to apply to the host country for recognition. Read and the .
Any supervisors and research areas listed are indicative and may change before the start of the course.