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Verifying a Conformal Ward Identity for the Free Boson

Ah, the Yellow Pages textbook, a fun one. I learned conformal field theory solely through Polchinski's textbook, so I apologize if something seems arbitrary or to foreign. I will be working in $d=2$ ...
MathZilla's user avatar
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0 votes

Hermitian conjugation in Radial Quantization

I wish I could make this clear. In the Euclidean QFT, we use the variable \begin{equation} z=e^{ix-\tau} \end{equation} to label the Eucludean quantum field $\phi_{E}(z)$, which is related to the ...
Langxuan Chen's user avatar
3 votes

Splitting Scalar into Holomorphic and Anti-Holomorphic Parts

Tong is here using the operator formalism, which is manifestly on-shell. In the Heisenberg picture, the Heisenberg EOMs are operator identities, cf. answer by mike stone. In contrast, the path ...
Qmechanic's user avatar
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4 votes

Splitting Scalar into Holomorphic and Anti-Holomorphic Parts

In the Heisenberg picture the field operators satisfy the equation of motion, and that is how the usual decomposition is made. In a Euclidean path integral formulation, one can follow Mandelstam ...
mike stone's user avatar
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1 vote

Weyl transformation of induced metric

The definition of the induced metric is $h(X,Y) := g(X,Y)$ if $X,Y$ are in tangent to $\partial M$. Therefore $$\tilde{h} = \Omega^2 h\:.$$ Then we can see $h_{ab}$ and $\tilde{h}_{ab}= \Omega^2 h_{ab}...
Valter Moretti's user avatar
1 vote

Cyclic Universe Problems

If a Big Rip is not part of your plan to rid the expanding universe of mass, you are dependent on particle decay to get the job done right. This is problematic though because while photons are ...
Wookie's user avatar
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