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PUBLICATION LIST -- J
www.damtp.cam.ac.uk/user/tsm/jrw_publist1.pdf3 Jun 2024: Mech. Phys. Solids 24 (1976) 225-238. 43. F. J. Sabina and J. ... Mech. Phys. Solids, 40. (1992) 1671-1681. 126. J. R. Willis, “Asymptotic analysis of crack bridging by ductile fibres”, Composites 24 (1993). -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/three.pdf26 Jun 2024: 1. ar v̇ = Ḣ. 1. arv̇. Take the gradient of (3.24) to get. ... 1.24). In such a situation, it would make little sense to talk about perturbations with. -
2. Introducing Di↵erential Geometry Gravity is geometry. To fully ...
www.damtp.cam.ac.uk/user/tong/gr/two.pdf31 May 2024: S T)µ1.µp1.r1.q1.s. = Sµ1.µp1.qT1.r. 1.s (2.24). Given an (r, s) tensor T , we can also construct a tensor of lower rank (r -
7. Quantum Field Theory on the Line In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/72d.pdf26 Jun 2024: 4i. 1 log. i. 2UV. iv2. (7.24). where, to reach the second line, we’ve Taylor expanded in /2UV. , ... 2. This is the same kind of integral that we met in (7.24) when solving the 2d CPN1. -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel5.pdf2 Jul 2024: µ 12Tr GµG. µ. (5.24). The kinetic terms for the fermions are. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/gr/gr.pdf31 May 2024: should identify. g00(x) (1. 2Φ(x). c2. )(1.24). where Φ(x) is the Newtonian gravitational field. ... 1.24) but with a linear gravitational potential Φ of the kind that we would invoke for. -
Preprint typeset in JHEP style - PAPER VERSION June ...
www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf31 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. -
4. The Einstein Equations It is now time to ...
www.damtp.cam.ac.uk/user/tong/gr/four.pdf31 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. -
Preprint typeset in JHEP style - HYPER VERSION Lent ...
www.damtp.cam.ac.uk/user/tong/aqm/topicsinqm.pdf2 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. -
topicsinqm
www.damtp.cam.ac.uk/user/tong/aqm/topics2.pdf2 Jul 2024: Z x. a. dx0p2m(E V (x0)). 4. (2.24). Note the minus sign in the phase shift /4. ... 4. (2.25). We’re left with two expressions (2.24) and (2.25) for the wavefunction in Region 2. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/gr/one.pdf31 May 2024: should identify. g00(x) 1. 2(x). c2. (1.24). where (x) is the Newtonian gravitational field. ... 1.24) but with a linear gravitational potential of the kind that we would invoke for. -
munich_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics. -
dynrel
www.damtp.cam.ac.uk/user/tong/relativity/five.pdf3 Jul 2024: Here’s another example. The question seems a lit-. M m. Figure 24:. -
3. Introducing Riemannian Geometry We have yet to meet ...
www.damtp.cam.ac.uk/user/tong/gr/three.pdf31 May 2024: Claim:. d? F =? J , rµF µ = J (3.24). -
6. Large N Non-Abelian gauge theories are hard. We ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf26 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 -
6. Black Holes Black holes are among the most ...
www.damtp.cam.ac.uk/user/tong/gr/six.pdf31 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 -
Koopman_turing_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_turing.pdf23 May 2024: 24. Residual DMD (ResDMD). -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf26 Jun 2024: Zrmax(t). 0. drp1 kr2/R2. = c a(t). Zt. 0. dt0. a(t0)(1.24). ... Indeed,. mathematically it could be that the integral on the left-hand side of (1.24) does not. -
5. Chiral Symmetry Breaking In this section, we discuss ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/5chisb.pdf26 Jun 2024: For example, we. have. m2K+. m2K0. m2. =mu mdmu md. (5.24). ... corrections, we can generalise (5.24) to. (m2K m2K0) (m2 m20). m20. -
Koop_italy_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/Koopman_workshop_mjc.pdf20 May 2024: Slide 23: Example: Verified spectra and modes. Slide 24: Example: Verified dictionary.
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