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  2. 16019935922071 1..31

    www.damtp.cam.ac.uk/user/gold/pdfs/IKNM.pdf
    6 Oct 2020: Competing interest: See. page 24. Funding: See page 24. Received: 06 May 2020. ... min after the start of the experiment at 24 hpf (see Materi-als and methods).
  3. 12 Jun 2021: 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
  4. 2. The Integer Quantum Hall E↵ect In this section ...

    www.damtp.cam.ac.uk/user/tong/qhe/two.pdf
    5 Oct 2020: by (1.24). With the Landau levels filled, the current in the x-direction is. ... But we know from (1.20) and (1.24) that these harmonic oscillator states are.
  5. 2. Yang-Mills Theory Pure electromagnetism is a free theory ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf
    8 Nov 2020: where. Kµ = µtr. A@A. 2i. 3AAA. (2.24). This means that, as in the Maxwell case, the theta term does not change the. ... derivative (2.24), the temporal component was K0 = 42W. For now, the key property of W(A) that we will need is.
  6. 3 The Strong Force In the middle of the ...

    www.damtp.cam.ac.uk/user/tong/pp/pp3.pdf
    23 Apr 2021: 3 The Strong Force. In the middle of the 20th century, the number of seemingly “fundamental” particles. exploded. The electron, proton and neutron had long been known. These were joined,. in 1947, by a new particle called the pion, whose role
  7. 3. Introducing Riemannian Geometry We have yet to meet ...

    www.damtp.cam.ac.uk/user/tong/gr/three.pdf
    25 Feb 2021: Claim:. d? F =? J , rµF µ = J (3.24).
  8. 3. The Fractional Quantum Hall E↵ect We’ve come to ...

    www.damtp.cam.ac.uk/user/tong/qhe/three.pdf
    5 Oct 2020: i=1. |i|2 (3.24). The corrected plasma partition function is then. Z Yd2zi e. ... precisely by the partition function with energy (3.24) and hence has no dependence.
  9. 4. Lattice Gauge Theory Quantum field theory is hard. ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/4lattice.pdf
    8 Nov 2020: 4.24). with @ = @t @x. The equations of motion tell us @ = @ = 0. ... moving fermion. The chiral symmetry of the action (4.24) means that the left- and right-handed.
  10. 4. Non-Abelian Quantum Hall States The vast majority of ...

    www.damtp.cam.ac.uk/user/tong/qhe/four.pdf
    5 Oct 2020: 12, 34) (13, 24) = (z1 z2)21423. Then, using the definition of the Pfaan (4.3), we have. ... Pf(13),(24)(z) = A(13, 24). z1 z2(13, 24). z3 z4. = A(12, 34) (z1 z2)21423.
  11. 4. The Einstein Equations It is now time to ...

    www.damtp.cam.ac.uk/user/tong/gr/four.pdf
    25 Feb 2021: 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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