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Feb
4
answered What exactly is regularization in QFT?
Jan
30
awarded  Critic
Jan
30
comment Do primary fields (in a CFT) satisfy the wave equation?
I was the original downvoter, because I thought you were saying that an operator with weight $(h,0)$ doesn't satisfy the wave equation (your answer suggests that $(0,0)$ is the only possibility). I removed my downvote because I understand that wasn't your intention.
Jan
30
comment Do primary fields (in a CFT) satisfy the wave equation?
JP gets kind of lax in volume 2 with the normal ordering notation, and I took that as permission to do the same.
Jan
30
comment Do primary fields (in a CFT) satisfy the wave equation?
Sure, that's fine.
Jan
29
answered Do primary fields (in a CFT) satisfy the wave equation?
Dec
29
answered Can a wormhole be created in space?
Dec
26
answered 3-point correlation function for a massive scalar field
Dec
25
comment S-Matrix in $\mathcal{N}=4$ Super-Yang Mills
From what I understand, the S-matrix for $N=4$ is IR-divergent, as expected for any CFT, but there are some terms in it that are IR-finite and can be unambiguously computed. I would elaborate but that's where my "knowledge" ends.
Dec
23
comment Normalizability of the Hartle-Hawking state in Liouville theory
Hi Trimok, I agree that $<W(\ell_1)W(\ell_2)\rangle$ is the propagator in the "string field theory," but I think it also has an interpretation as the Hartle Hawking wavefunction on the worldsheet. This is easy to see from its definition (3.86). If we insert $W(\ell)$ into the path integral then we are creating a curve on the boundary with length $\ell$, so the path integral $\langle W(\ell_1)W(\ell_2)\rangle$ just computes the integral over all manifolds whose boundary is two circles of length $\ell_1,\ell_2$. This is $\Psi_{\text{HH}}(\ell_1,\ell_2)$ by definition.
Dec
23
asked Normalizability of the Hartle-Hawking state in Liouville theory
Nov
22
accepted Counting D0-D4 Bound States
Nov
22
comment Counting D0-D4 Bound States
Thanks @Ryan! This is very helpful. One minor correction: I think you meant (1-q)^(-8) for the bosonic counting instead of (1-q)^(8).
Nov
21
asked Counting D0-D4 Bound States
Nov
15
answered SUSY's Critical role in String Theory
Nov
7
comment Why do three dimensional gauge theories flow to conformal theories in the infrared?
Oh, I see what you were saying, David. I guess you meant that Luty, Polchinski, and Ratazzi can throw away their assumption of scale implies conformal, since this is now proven. Thats interesting, thanks!
Nov
6
comment Why do three dimensional gauge theories flow to conformal theories in the infrared?
No, they prove that if you look at any field theory (massless or not) at high enough or low enough energies, then it looks like a CFT. This is what I mean by UV and IR.
Nov
6
comment Why do three dimensional gauge theories flow to conformal theories in the infrared?
I know that Dymarsky et al also had a paper on that, but isn't that a different result? It seems to me that that doesn't constrain the RG flow of a general field theory, it just looks at scale invariant theories.
Nov
6
revised Why do three dimensional gauge theories flow to conformal theories in the infrared?
added 21 characters in body
Nov
6
comment Why do three dimensional gauge theories flow to conformal theories in the infrared?
You're right about the dimensionality and Lorentz invariance, I edited this in. It doesn't have to be weak coupling, as long as you assume that scale invariance implies conformal invariance. It doesn't have to be massless, and it's almost always not.