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  2. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel6.pdf
    26 Jun 2024: any attempt to introduce new physics that goes beyond the Standard Model will typi-. ... sector. In particular, this new perspective gives the strong CP problem extra bite.
  3. 6 Tensors A famously annoying definition of a tensor ...

    www.damtp.cam.ac.uk/user/tong/vc/vc6.pdf
    12 Jun 2024: hand. I will introduce a new symbol for “dierentiation and anti-symmetrisation” and. ... connection. Here our new anti-symmetric derivative obeys D2(anything) = 0. But we.
  4. 12 Jun 2024: For. such curves, we introduce new notation and write the line integral asI. ... should be viewed as infinitesimally close to each other. These two new segments have.
  5. munich_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf
    10 Jun 2024: 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs. ... 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”.
  6. 12 Jun 2024: meet. The sign means that it’s good news for one, less good for the other. ... Both new terms come with. minus signs, which is appropriate because fighting is bad.
  7. PUBLICATION LIST -- J

    www.damtp.cam.ac.uk/user/tsm/jrw_publist1.pdf
    3 Jun 2024: Miklowitz and J. D. Achenbach, pp. 347-371, John Wiley, New York (l978). ... Nemat-Nasser, pp. 59-66, Pergamon, New York (1980). 51. D. R. S.
  8. 6. Large N Non-Abelian gauge theories are hard. We ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf
    26 Jun 2024: these properties. With these new couplings, the Yang-Mills action is. SYM = N. ... gauge theory. At this point, it is useful to introduce some new notation.
  9. Peter Haynes: Publications

    www.damtp.cam.ac.uk/user/phh/pubs.html
    22 Apr 2024: J. Phys. Oceanog., 15, 670--683. Haynes, P. H., 1985: A new model of resonance in the winter stratosphere.
  10. BMC_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_manchester.pdf
    18 Jun 2024: 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs.
  11. 3 The Formalism of Quantum Mechanics In the previous ...

    www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf
    26 Jun 2024: and gives you back a new function. Throughout these lectures we will dress any such.
  12. 4 A Quantum Particle in Three Dimensions We will ...

    www.damtp.cam.ac.uk/user/tong/qm/qm4.pdf
    26 Jun 2024: imuthal angular momentum). Before we get going, let’s introduce some new variables. ... plifying things, we’ve introduced a new physical constant c, the speed of light.
  13. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/1em.pdf
    26 Jun 2024: mathematical construct known as a fibre bundle. This brings something new to the. ... The equations (1.13) carry much – although not all – of the new physics.
  14. 2 A Quantum Particle in One Dimension There is ...

    www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf
    26 Jun 2024: only take certain discrete values in this new framework. For the particle on a circle, we. ... Take whatever you. think is the coolest result in physics – maybe the Higgs boson, or some new material.
  15. Book Reviews | SIAM Review | Vol. 65, No. 4 | Society for Industrial…

    www.damtp.cam.ac.uk/user/lauga/papers/BookReview_SIAM.pdf
    25 Jun 2024: Theoverall goal of the chapter is to explain how to build mechanistic models with differentlevels of complexity, using simple tools covered in Chapter 2 and new ones introducedhere, and to illustrate ... ping method to new horizons!The book is structured
  16. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/two.pdf
    26 Jun 2024: the combined system will eventually settle down to a new equilibrium state at some. ... of the chemical potential. Now we can use the chemical potential for something new.
  17. Matthew Colbrook

    www.damtp.cam.ac.uk/user/mjc249/Publications.html
    18 Jun 2024: As demonstrated with computational examples, the new algorithms yield a library of new methods. ... Comparisons are made with elastic boundary element methods, where the new method is found to be faster and more accurate.
  18. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/three.pdf
    26 Jun 2024: It will be useful. to give a new name to the quantity @P/@n: we write it as. ... new notation, reads. @n. @t. r. = rr (nu). Changing to co-moving coordinates, it then becomes. @.
  19. Koop_italy_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/Koopman_workshop_mjc.pdf
    20 May 2024: New program on foundations and classification for Koopman. 50. Summary: Infinities matter. •
  20. 3. Introducing Riemannian Geometry We have yet to meet ...

    www.damtp.cam.ac.uk/user/tong/gr/three.pdf
    31 May 2024: Z). = fR(!; X, Y, Z). Thus, both torsion and curvature define new tensors on our manifold. – ... change of coordinates to xµ(x̃) which does the trick. In the new coordinates,.
  21. 26 Jun 2024: be to embrace this mathematical description and leverage it to build a new intuition. ... new ingredient that dramatically changes the. outcome: this is interference. Here we give a.
  22. 3. Anomalies We learn as undergraduates that particles come ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/3anom.pdf
    26 Jun 2024: This. means that the new partition function is exactly the same as the original partition. ... For fermions this measure is schematicallyZ. D D ̄ (3.22). When we change to new variables.
  23. 31 May 2024: generate. a new solution. • Reparameterisation invariance: We introduced as an arbitrary parameterisationof the path. ... Then we could equally as well construct an action S̃ using this new parameter,.
  24. The Standard Model: Example Sheet 4 David Tong, March ...

    www.damtp.cam.ac.uk/user/tong/sm/rw4.pdf
    22 Apr 2024: 2. Suppose that a new particle is discovered that transforms in the 3 of SU(2), the 6.
  25. Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...

    www.damtp.cam.ac.uk/user/tong/sft/sft.pdf
    12 Apr 2024: new way of thinking about the world. This leads us to a paradigm which now underlies. ... next, and new creative ideas are needed at each step, but this doesn’t change the fact.
  26. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf
    26 Jun 2024: mathematical construct known as a fibre bundle. This brings something new to the. ... promote θ to a new dynamical field. Here we’re considering it to be some fixed back-.
  27. Preprint typeset in JHEP style - PAPER VERSION June ...

    www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf
    31 May 2024: both physicists and mathematicians alike. They have lead to new insights into a wide. ... It. must be possible to express these three new zero modes as a linear combination of the.
  28. Preprint typeset in JHEP style - HYPER VERSION January ...

    www.damtp.cam.ac.uk/user/tong/qhe/qhe.pdf
    1 Apr 2024: new state of matter. It is here that the most remarkable things happen. ... πx,πy] = ieB (1.15). – 16 –. At this point we introduce new variables.
  29. G-Adaptive mesh refinement - leveraging graphneural networks and…

    www.damtp.cam.ac.uk/user/gam37/preprints/preprint_g-adaptive_mesh_refinement.pdf
    11 Jun 2024: Our new approach combines agraph neural network (GNN) powered architecture, with training based on directminimisation of the FE solution error with respect to the mesh point locations. ... Contributions Indeed, our central novelty is to provide a new
  30. J. Fluid Mech. (2024), vol. 988, A10, doi:10.1017/jfm.2024.223 Flow…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM988_A10.pdf
    10 Jun 2024: J. Fluid Mech. (2024), vol. 988, A10, doi:10.1017/jfm.2024.223. Flow of an Oldroyd-B fluid in a slowly varyingcontraction: theoretical results for arbitraryvalues of Deborah number in the ultra-dilutelimit. Evgeniy Boyko1,†, John Hinch2 and Howard
  31. 27 Apr 2024: Lent Term, 2015. ElectromagnetismUniversity of Cambridge Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK.
  32. 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: J. Fluid Mech. (2024), vol. 988, A11, doi:10.1017/jfm.2024.260. Fast flow of an Oldroyd-B model fluid through anarrow slowly varying contraction. John Hinch1,†, Evgeniy Boyko2 and Howard A. Stone3. 1DAMTP-CMS, Cambridge University, Wilberforce Road
  33. italy_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/Operator_learning.pdf
    11 May 2024: 2020. 2021. New Papers on“Koopman Operators”. number of papersdoubles every 5 yrs.
  34. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel4.pdf
    26 Jun 2024: 165 –. symmetry U(1)0Vand a new axial symmetry U(1)0. A, under which the quarks transform. ... So in this case,. the surviving discrete symmetry doesn’t tell us anything new.
  35. 4. Lattice Gauge Theory Quantum field theory is hard. ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/4lattice.pdf
    26 Jun 2024: This then leaves us with a new theory defined on a lattice with spacing 2a. ... and 4 are left-handed. We see that, once again, the lattice has generated new gapless.
  36. 31 May 2024: However, we can build a new vector field by taking the commutator [X, Y ], which. ... We will. work with these operations frequently enough to justify introducing some new notation.
  37. 5. When Gravity is Weak The elegance of the ...

    www.damtp.cam.ac.uk/user/tong/gr/five.pdf
    31 May 2024: Then do a gauge transformation (5.10). Your new gauge potential will satisfy. @ ... µhµ 12@h+ = f. So if you pick a gauge transformation µ that obeys µ = fµthen your new metric will be in de Donder gauge.
  38. Koopman_turing_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_turing.pdf
    23 May 2024: 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs. ... 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”.
  39. 6. Black Holes Black holes are among the most ...

    www.damtp.cam.ac.uk/user/tong/gr/six.pdf
    31 May 2024: our old coordinates, we’re instead going to find a new set of coordinates that works. ... everywhere. Our first step is to introduce a new radial coordinate, r?, defined by.
  40. NATIONAL LIFE STORIES AN ORAL HISTORY OF BRITISH SCIENCE ...

    www.damtp.cam.ac.uk/user/mem/nls-transcript-mc-check-C1379-72-FINAL.pdf
    31 Mar 2024: We were in New York, in a house in. Yonkers, for about a year, I think. ... New York. We went to this place in Yonkers. My father went to be a postdoc [again,.
  41. 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,.
  42. 12 Jun 2024: For. such curves, we introduce new notation and write the line integral asC. ... should be viewed as infinitesimally close to each other. These two new segments have.
  43. 4. The Einstein Equations It is now time to ...

    www.damtp.cam.ac.uk/user/tong/gr/four.pdf
    31 May 2024: M, we can usethis to map all fields, including the metric, on M to a new set of fields on M.
  44. 31 May 2024: generate. a new solution. • Reparameterisation invariance: We introduced σ as an arbitrary parameterisationof the path. ... Then we could equally as well construct an action S̃ using this new parameter,.
  45. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel2.pdf
    26 Jun 2024: 2.1 Discrete Symmetries. The idea of spontaneous symmetry breaking is not something new: it appears in some.
  46. 7. Quantum Field Theory on the Line In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/72d.pdf
    26 Jun 2024: We also take this opportunity to add a new ingredient to pure Maxwell theory. ... generate new solitonic states. These are kinks which transform in the left and right-.
  47. 8. Quantum Field Theory on the Plane In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf
    26 Jun 2024: We. could compute it, but it does not give any qualitatively new insights into the physics.
  48. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel1.pdf
    26 Jun 2024: If you’re completely new to the wonderful world of subatomic particles, this is a good. ... in Section 1.4. For massive particles, this doesn’t buy us anything new: the set of.
  49. 5. Chiral Symmetry Breaking In this section, we discuss ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/5chisb.pdf
    26 Jun 2024: solution U?(x) with energy E? Then the new configuration U(x) = U?(x) has energy. ... can be used to generate new solutions. These are trivially related to the original,.
  50. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel3.pdf
    26 Jun 2024: magnetic or paramagnetic. Except now there is a new ingredient which does not show.
  51. 2. Yang-Mills Theory Pure electromagnetism is a free theory ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf
    26 Jun 2024: This new way of looking at things starts with a question: why should we insist that the. ... general wavefunctions doesn’t give any new physics. Instead, it allows for a dierent.

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