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  2. 6. Large N Non-Abelian gauge theories are hard. We ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf
    26 Jun 2024: The gluon exchange is now. 1N2. (6.24). but there are order N3 triplets of quarks, so again the total amplitude scales as N. ... 6N2. X. i 6=j 6=k. V3(xij, xjk). where xij = xi xj and the coecients in front of the potentials are taken from (6.23)and (6.24
  3. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel4.pdf
    26 Jun 2024: Tr T ART BR. =1. 2I(R)AB. (4.24). The Dynkin index is related to the quadratic Casimir C(R), which we previously defined.
  4. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics5.pdf
    2 Jul 2024: 5. Quantum Foundations. What is the essence of quantum mechanics? What makes the quantum world truly. dierent from the classical one? Is it the discrete spectrum of energy levels? Or the. inherent lack of determinism? The purpose of this chapter is
  5. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/seven.pdf
    3 Jul 2024: 7. Special Relativity. Although Newtonian mechanics gives an excellent description of Nature, it is not uni-. versally valid. When we reach extreme conditions — the very small, the very heavy or. the very fast — the Newtonian Universe that
  6. 6. Black Holes Black holes are among the most ...

    www.damtp.cam.ac.uk/user/tong/gr/six.pdf
    31 May 2024: 6. Black Holes. Black holes are among the most enigmatic objects in the universe. They are described. by deceptively simple solutions to the Einstein equations, yet hold a host of insights. and surprises, from the meaning of causal structure, to
  7. Koopman_turing_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_turing.pdf
    23 May 2024: 24. Residual DMD (ResDMD).
  8. Koop_italy_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/Koopman_workshop_mjc.pdf
    20 May 2024: Slide 23: Example: Verified spectra and modes. Slide 24: Example: Verified dictionary.
  9. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel5.pdf
    2 Jul 2024: µ 12Tr GµG. µ. (5.24). The kinetic terms for the fermions are.
  10. Preprint typeset in JHEP style - HYPER VERSION Lent ...

    www.damtp.cam.ac.uk/user/tong/aqm/topicsinqm.pdf
    2 Jul 2024: 1.2.4 Kramers Degeneracy 22. 2. Approximation Methods 24. 2.1 The Variational Method 24. ... ΘLΘ1 = L (1.24). – 19 –. We can also see how it acts on states.
  11. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics6.pdf
    2 Jul 2024: r(6.24). The 1/r fall-o follows from solving the free Schrödinger equation; we’ll see this ex-.
  12. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel1.pdf
    26 Jun 2024: 1.24). This is our starting point: representations of the Poincaré group are labelled by the.
  13. J. Fluid Mech. (2024), vol. 988, A11, doi:10.1017/jfm.2024.260 Fast…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM988_A11.pdf
    31 May 2024: They solvedtheir lubrication equations (24)–(32), again by an expansion in a small Deborah numberWe 1, going to the first correction. ... p/. (1. c). p 1. De. H = 21/22. 23/24. Figure 1.
  14. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel2.pdf
    26 Jun 2024: proportional to. eVScl! 0 as V! 1. (2.24). It’s obvious what’s going on here.
  15. Preprint typeset in JHEP style - PAPER VERSION June ...

    www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf
    31 May 2024: 1.4.1 The Metric on the Higgs Branch 23. 1.4.2 Constructing the Solutions 24. ... in 5 1 dimensions is a sigma-model on a hyperKähler target space [24] which, for.
  16. 4. The Einstein Equations It is now time to ...

    www.damtp.cam.ac.uk/user/tong/gr/four.pdf
    31 May 2024: ṙ2 Ve(r) = E2 (4.24). but this time with the eective potential. ... This tells us that the particle follows a null geodesic. The equation (4.24) gets replaced.

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