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  2. 8. Quantum Field Theory on the Plane In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf
    8 Nov 2020: We learn an. interesting lesson: gauging a U(1) symmetry in d = 2 1 changes the dynamics, but. ... are not symmetries at all, but redundancies. This gives another important lesson: there.
  3. 3. The Fractional Quantum Hall E↵ect We’ve come to ...

    www.damtp.cam.ac.uk/user/tong/qhe/three.pdf
    5 Oct 2020: 3. The Fractional Quantum Hall Eect. We’ve come to a pretty good understanding of the integer quantum Hall eect and. the reasons behind it’s robustness. Indeed, some of the topological arguments in the. previous chapter are so compelling that
  4. statphys

    www.damtp.cam.ac.uk/user/tong/statphys/one.pdf
    25 Aug 2020: Preprint typeset in JHEP style - HYPER VERSION. Statistical PhysicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,.
  5. 5 Oct 2020: lesson that we’ve seen here holds for all field theories. If you take a quantum field.
  6. 2. Yang-Mills Theory Pure electromagnetism is a free theory ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf
    8 Nov 2020: 2. Yang-Mills Theory. Pure electromagnetism is a free theory of a massless spin 1 field. We can ask: is it. possible to construct an interacting theory of spin 1 fields? The answer is yes, and the. resulting theory is known as Yang-Mills. The

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