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  2. David Tong: The Standard Model

    www.damtp.cam.ac.uk/user/tong/standardmodel.html
    31 May 2024: Spinors, Dirac spinors vs Weyl spinors. Gauge invariance, Maxwell theory, Lie algebras, Yang-Mills theory.
  3. 27 Apr 2024: There are various. mathematical symmetries and structures lurking within the Maxwell equations, struc-. ... Maxwell equations. At first glance, they look just like four random equations from.
  4. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel1.pdf
    26 Jun 2024: 1.3 Gauge Invariance 22. 1.3.1 Maxwell Theory 22. 1.3.2 A Refresher on Lie Algebras 25.
  5. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/1em.pdf
    26 Jun 2024: insists that they can’t exist. This is the Maxwell equation. r B = 0. ... form of the Maxwell equations in matter. r D = 0 and r H @D@t. =
  6. 5. When Gravity is Weak The elegance of the ...

    www.damtp.cam.ac.uk/user/tong/gr/five.pdf
    31 May 2024: Once we impose this condition, the Maxwell equations @µFµ = j reduce to the wave. ... There is a similar counting in Maxwell theory. The polarisation of Aµ seemingly has.
  7. 3. Introducing Riemannian Geometry We have yet to meet ...

    www.damtp.cam.ac.uk/user/tong/gr/three.pdf
    31 May 2024: As we saw in our lectureson Electromagnetism, varying this action gives the remaining two Maxwell equations. ... There is an equivalent formulation of the Maxwell equation using the covariant deriva-.
  8. 6. Black Holes Black holes are among the most ...

    www.damtp.cam.ac.uk/user/tong/gr/six.pdf
    31 May 2024: As we saw in. Section 4.3.3, the 2-form F = dK obeys something very similar to the Maxwell equa-. ... tions, d? F = 0. But these are the vacuum Maxwell equations in the absence of any.
  9. 12 Jun 2024: ber. Another of the Maxwell equations reads rB = 0 and in most situations we should. ... You can check that this answer also satisfies the other Maxwell equation r B = 0.
  10. 3 Grad, Div and Curl In this section we’re ...

    www.damtp.cam.ac.uk/user/tong/vc/vc3.pdf
    12 Jun 2024: four equations of electromagnetism, known collectively as the Maxwell equations. r E =. 0, r E =. @B. @t(3.7). r B = 0 , r B = µ0. ... in the rest of these lectures. Along the way, we will sometimes turn to the Maxwell.
  11. 31 May 2024: Maxwell equations, while the motion of test particles is dictated by the Lorentz force. ... It is similar to the gauge “symmetry” of Maxwell and Yang-Mills theory which,.

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