Theoretical Physics

If you're a mathematics / physics student in the UK looking for a study partner (mentor) please get in touch at [email protected]

Learning resources: undergraduate

Classical Mechanics (Lagrange & Hamiltonian)

Classical Mechanics, Jacob Linder, NTNU (Lectures follow the book on "Classical Mechanics" Second Edition by Herbert Goldstein.)

Lectures on Classical Dynamics, David Tong, University of Cambridge

The Feynman Lectures on Physics, Volume I, Richard Feynman

The Feynman Lectures on Physics, Volume II, Richard Feynman


Quantum Mechanics (Non-Relativistic)

Quantum Physics I, Barton Zwiebach, MIT

lecture notes

Quantum Physics II, Barton Zwiebach, MIT

lecture notes

Linear Algebra Done Right (4th Edition), Sheldon Axler (recommended during the course)

Quantum Mechanics, Professor J.J Binney, University of Oxford | Problem sets & solutions

The Physics of Quantum Mechanics, James Binney & David Skinner (2012)

The Feynman Lectures on Physics, Volume III, Richard Feynman


Advanced Quantum Mechanics

Quantum Physics III, Barton Zwiebach, MIT

lecture notes

Quantum Mechanics I, Namık Kemal


Learning resources: postgraduate

Quantum Field Theory

Quantum Field Theory, David Tong, University of Cambridge

lecture notes

Quantum Field Theory, Tobias Osborne

Quantum Field Theory (Fall 2018), Kevin Cahill

lecture notes

Gauge Theories in Particle Physics (Volume 1 & 2), Ian J.R. Aitchison, Anthony J.G. Hey [Free download from Taylor & Francis. Email me for a copy of the book, if no longer available for download]

If you would like to purchase a book for further reading I can recommend Field Quantization by Walter Greiner & Joachim Reinhardt


Advanced Quantum Field Theory (Loops, ..)

Advanced Quantum Field Theory, Tobias Osborne

Quantum Field Theory II (Spring 2019), Kevin Cahill | Class notes | Additional notes

Physics from Symmetry, Jakob Schwichtenberg [Free download from Springer | Errata] This is probably the best introductory book I have seen written on symmetry in physics.

If you would like to purchase a book for further reading I can recommend Quantum Field Theory by Franz Mandl, Graham Shaw & Quantum Field Theory and the Standard Model by Matthew D. Schwartz.

I have not watched the following but intend to in the near future: Relativistic Quantum Field Theory (Winter 2022/23), Relativistic Quantum Field Theory II (Summer 2023), Effective Field Theory and Renormalization Group (Summer 2024), Multiloop Renormalization (Winter 2020/2021) & Standard Model Theory (Summer 2023)


Standard Model

Standard Model Review, Paul Langacker, Perimeter Institute for Theoretical Physics

Grand Unification and the Standard Model (PDF) | Introduction to Standard Model and Electroweak Physics (PDF)

General Relativity

Relativity, Neil Turok, Perimeter Institute for Theoretical Physics

MIT 8.962 General Relativity, Spring 2020, Scott Hughes

lecture notes
The basics of gravitational wave theory, Eanna E Flanagan, Scott A Hughes

Lecture Notes on General Relativity, Sean M. Carroll (PDF)


Cosmology

The Early Universe, Alan Guth, MIT

lecture slides

Supersymmetry

Supersymmetry, Fernando Quevedo, University of Cambridge

lecture notes

Explorations In Particle Theory, Ben Allanach, Perimeter Institute for Theoretical Physics

lecture notes

Superstring Theory (candidate framework for Quantum Gravity)

Introduction to String Theory, Neil Lambert

lecture notes | solutions

Lectures on String Theory, David Tong, University of Cambridge

An Introduction to String Theory, Kevin Wray, University of California, Berkeley

String Theory Review, Barton Zwiebach, Perimeter Institute for Theoretical Physics

Introduction to Superstrings and M-Theory, Michio Kaku [Free download from Springer.]

Strings, Conformal Fields and M-theory, Michio Kaku [Free download from Springer.]


Physical Mathematics

Lectures by Kevin Cahill: Fall 2017 | Spring 2017 | Spring 2018

Group Theory in a Nutshell for Physicists, Anthony Zee

Differential Equations and Linear Algebra, Gilbert Strang, MIT


Miscellaneous

The Multiverse, Max Tegmark

Other websites

The Feynman Lectures on Physics

The Theoretical Minimum, Leonard Susskind, Stanford Institute for Theoretical Physics

Lectures on Theoretical Physics, David Tong, University of Cambridge

The collected papers of Albert Einstein


Other lectures notes that are probably good for reference (not read).

Notes from Sidney Coleman's Physics 253

Introduction to String Theory and D–Branes, Clifford V. Johnson

D-Brane Primer, Clifford V. Johnson


Other physics books that are probably good for reference (not read).

Introduction to Gauge Field Theory, David Bailin, Alexander Love [Free download from Taylor & Francis. Email me for a copy of the book, if no longer available for download]

The Standard Model and Beyond, Paul Langacker [Free download from Taylor & Francis. Email me for a copy of the book, if no longer available for download]

Lie Algebras In Particle Physics, Howard Georgi [Free download from Taylor & Francis. Email me for a copy of the book, if no longer available for download]

Cosmology in Gauge Field Theory and String Theory, David Bailin, Alexander Love [Free download from Taylor & Francis. Email me for a copy of the book, if no longer available for download]

Supersymmetric Gauge Field Theory and String Theory, David Bailin, Alexander Love [Free download from Taylor & Francis. Email me for a copy of the book, if no longer available for download]

Group Theory for the Standard Model of Particle Physics and Beyond, Ken J. Barnes [Free download from Taylor & Francis. Email me for a copy of the book, if no longer available for download]

Quantum Field Theory, Mark Srednicki [Draft copy of book | Spin Zero | Spin One Half]

Quantum Theory, Groups and Representations: An Introduction, Peter Woit, Department of Mathematics, Columbia University


Some additional learning resources on Pure Mathematics

Multivariable Calculus, Edward Frenkel, UC Berkeley (2009)

Group Theory, Elliot Nicholson

Ring Theory, Elliot Nicholson

You will find a lot of wonderful books on Forgotten Books. A treasure trove for anyone who loves Pure Mathematics.

A Course of Pure Mathematics, G. H. Hardy

A Treatise on the Integral Calculus, Volume 1, Joseph Edwards

A Treatise on the Integral Calculus, Volume 2, Joseph Edwards

Paul Booker, UK. Last updated: November, 2024.