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 Mar 4 comment Perturbation theory for a particle in a weak potential I found this note ks.uiuc.edu/Services/Class/PHYS480/LectNotes/well/p480_n.pdf, which solves the problem numerically. The ground state energy is 1.06 in their conventions, which you can translate to your conventions if you'd like. Mar 4 comment Perturbation theory for a particle in a weak potential Thanks, Lewis. Yes, I was being sloppy with my notation. Feb 29 comment Perturbation theory for a particle in a weak potential I'm not really sure what you mean, maybe you could elaborate. I'm interested in the ground state energy of a particle in a weak quartic potential in 1 dimension. This can also be thought of as a quantum field theory in 0+1 dimensions if you like. I don't know how to use a harmonic oscillator approximation here (since the second derivative of the potential vanishes). Feb 24 comment Gauge fermions versus gauge bosons Josh is saying that "fermionic gauge particle" would be a more applicable name. To answer your question: this is disallowed by local quantum field theory. Look up the spin-statistics theorem in Weinberg or Srednicki. Feb 17 comment Does $c = 0$ implies that the theory is “empty”? Do you mean to restrict yourself to even dimensions? In odd dimensions there is no conformal anomaly. Feb 13 comment Timelike Shell Collapsing into a Black Hole I think you're right, and that the EOM for $R$ becomes the geodesic equation for the particles on the shell in the limit where the rest mass of the shell goes to zero. 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. 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 \$