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

    www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf
    26 Jun 2024: 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. 4. The Einstein Equations It is now time to ...

    www.damtp.cam.ac.uk/user/tong/gr/four.pdf
    31 May 2024: as evidence for an expanding universe. There is a lesson here: it.
  4. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf
    26 Jun 2024: Preprint typeset in JHEP style - HYPER VERSION Michaelmas Term, 2019. CosmologyUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,.
  5. 26 Jun 2024: Quantum Mechanics. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK. http://www.damtp.cam.ac.uk/user/tong/quantum.html. d.tong@damtp.cam.ac.uk.
  6. 2 A Quantum Particle in One Dimension There is ...

    www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf
    20 Apr 2024: There is a general lesson here. Whenever the potential is an even function, meaning.
  7. 31 May 2024: r. Γθϕϕ = sinθ cosθ , Γϕϕr = Γ. ϕrϕ =. 1. r, Γϕθϕ = Γ. ϕϕθ =. cosθ. sinθ(1.10). There are some important lessons here. ... we’re using. The second lesson is that it’s often a royal pain to compute the Christoffel symbols.
  8. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/three.pdf
    26 Jun 2024: Indeed, one of the. main philosophical lessons of general relativity is that the coordinates you use should.
  9. 2. Yang-Mills Theory Pure electromagnetism is a free theory ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf
    26 Jun 2024: 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
  10. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf
    26 Jun 2024: lessons look increasingly antiquated as we gain a deeper understanding of the Universe.
  11. Preprint typeset in JHEP style - HYPER VERSION January ...

    www.damtp.cam.ac.uk/user/tong/qhe/qhe.pdf
    1 Apr 2024: Preprint typeset in JHEP style - HYPER VERSION January 2016. The Quantum Hall EffectTIFR Infosys Lectures. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3

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