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Preprint typeset in JHEP style - HYPER VERSION 2018 ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/1em.pdf26 Jun 2024: lessons look increasingly antiquated as we gain a deeper understanding of the Universe. -
6. Large N Non-Abelian gauge theories are hard. We ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf26 Jun 2024: lessons. These come simply from the fact that there is a factor of N outside the. -
8. Quantum Field Theory on the Plane In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf26 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. -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm.pdf26 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. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf26 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,. -
4. The Einstein Equations It is now time to ...
www.damtp.cam.ac.uk/user/tong/gr/four.pdf31 May 2024: as evidence for an expanding universe. There is a lesson here: it. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/gr/gr.pdf31 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. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/three.pdf26 Jun 2024: Indeed, one of the. main philosophical lessons of general relativity is that the coordinates you use should. -
2 A Quantum Particle in One Dimension There is ...
www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf20 Apr 2024: There is a general lesson here. Whenever the potential is an even function, meaning. -
2. Yang-Mills Theory Pure electromagnetism is a free theory ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf26 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
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