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  2. Publications | Relativity and Gravitation Group

    www.damtp.cam.ac.uk/research/gr/publications?year=2007&page=101
    1 Jul 2024: Nuclear Physics B. (1989). 323,. 187. (doi: 10.1016/0550-3213(89)90593-2). Cosmic vortons. ... Mass generation and renormalization of supersymmetric sigma-models and some other two-dimensional theories.
  3. 5 The Poisson and Laplace Equations Until now, our ...

    www.damtp.cam.ac.uk/user/tong/vc/vc5.pdf
    12 Jun 2024: for some constants A and B. Clearly the A/r solution diverges as r! ... tions. Typically this is some kind of boundary condition and, in some circumstances,.
  4. Publications | Theoretical High Energy Particle Physics Group

    www.damtp.cam.ac.uk/research/hep/publications?year=1995&page=128
    1 Jul 2024: Nuclear Physics, Section A. (1989). 495,. 499. (doi: 10.1016/0375-9474(89)90357-6). Mass generation and renormalization of supersymmetric sigma-models and some other two-dimensional theories. ... Callan-Rubakov effect for strings. RH BRANDENBERGER, AC
  5. 3 The Formalism of Quantum Mechanics In the previous ...

    www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf
    26 Jun 2024: We’ll start by giving some physical examples. As this section proceeds, we’ll see. ... Au = u for some vector u. The corresponding vector u is then called the eigenvector.
  6. 12 Jun 2024: equation and the third from the divergence theorem. at some fixed time t. ... dierentiating with respect to space but with respect to some more abstract variables.
  7. 12 Jun 2024: value of. However, there will be some properties of the curve that are independent. ... There are some notational issues to unpick in this expression. First, O(t2) includes.
  8. 8. Quantum Field Theory on the Plane In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf
    26 Jun 2024: However, there are. – 403 –. some situations where the total derivative does not vanish. ... background has some non-trivial topology. These are called, for obvious reason, flat.
  9. 31 May 2024: We will. work with these operations frequently enough to justify introducing some new notation. ... We’ve met some forms before. A 0-form is simply a function.
  10. PUBLICATION LIST -- J

    www.damtp.cam.ac.uk/user/tsm/jrw_publist1.pdf
    3 Jun 2024: 147. 17. E. B. Glennie and J. R. Willis, “An Examination of the Effects of some Idealized Models of. ... Trans. R. Soc. A274 (1973) 435-. 491. 23. J. R. Willis, “Some Recent Work in Crack Propagation”, Engng.
  11. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel2.pdf
    26 Jun 2024: If you sit in some vacuum state |vaciand compute the two-point function of two operators, A(x) and B(y) then, when x and. ... tively denote as , transforming in some representation of a global symmetry group G.
  12. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel1.pdf
    26 Jun 2024: subtle and we will describe some of their properties in Section 1.2. ... some conserved charge and are always Lorentz scalars which means that they necessarily.
  13. 26 Jun 2024: we touch upon some of the interpretations of quantum mechanics. A fuller description. ... Combining the need for normalisation, together with the phase ambiguity, it is some-.
  14. 12 Jun 2024: Provided that the function is continuous and smooth, we can do some interesting things. ... selate D with some simple shape, say a rectan-. gle or other polygon.
  15. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel3.pdf
    26 Jun 2024: two self-contained aspects of the theory that we can explore in some detail. ... with some heuristic ideas and a number of solvable toy models which give us intuition.
  16. 5. Chiral Symmetry Breaking In this section, we discuss ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/5chisb.pdf
    26 Jun 2024: strong nuclear interactions, and we will consider this specific theory in some detail in. ... b $ c) (b $ d)i. Momentum conservation, pa pb = pc pd, ensures that some of these terms cancel.
  17. 3. Anomalies We learn as undergraduates that particles come ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/3anom.pdf
    26 Jun 2024: to some surprising and beautiful phenomena. 3.1 The Chiral Anomaly: Building Some Intuition. ... To see the anomaly, we need to deform our theory in some way.
  18. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf
    26 Jun 2024: by fixing some specific gauge, some of these properties will be brought into focus,. ... g. We keep the magnetic monopole fixed, and let the electric particle undergo some.
  19. 31 May 2024: sometimes just the stress tensor. We will describe some properties of this tensor in. ... of spacetime. We will need to develop some mathematical machinery before we can.
  20. 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: Deborah number of figure 3 is De = 0.5, which is some way beyond the linear regimeDe < 0.1. ... After integrating some terms by parts,988 A11-18. http. s://. doi.o. rg/1.
  21. Preprint typeset in JHEP style - PAPER VERSION June ...

    www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf
    31 May 2024: interpretation of particle like solitons. We shall describe some of their properties when. ... nihilated by some fraction of the supersymmetries are known as BPS states (although.
  22. 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: move to achieve ahigh density of points where some monitor m of the solution error is large. ... Classical methods for mesh adaption (whether h-adaptive or r-adaptive) require some measure of the error of thesolution.

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