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3 votes
0 answers
339 views

Polchinski Weyl Anomaly from perturbing the flat background. Eq (3.4.22)

In deriving the Weyl anomaly for the bosonic string using a perturbation around a flat background, Polchinksi uses Eq. (3.4.22), i.e. $$ \ln \frac{ Z[\delta+h] }{Z[\delta]} \approx\, \frac{1}{8\pi^2}\...
Oбжорoв's user avatar
  • 3,126
1 vote
1 answer
279 views

Gauge anomaly in Polyakov string and Faddeev-Popov method

I am currently trying to gain a better understanding of the gauge fixing procedure used in chapter 5 of David Tong's notes. Since the central charge of the Polyakov action for, say, the bosonic ...
Leonard's user avatar
  • 261
4 votes
0 answers
300 views

How does the Weyl anomaly imply $\langle T^{\mu}_{\mu} \rangle \neq 0$?

I want to consider the case of euclidean field theory in 2 dimensions with the action $$S[\phi]=\int \! d^2\!x \sqrt{\det(g)}g^{\mu\nu}\partial_\mu\phi\partial_\nu\phi$$ which leads to a partition ...
Leonard's user avatar
  • 261
2 votes
0 answers
240 views

Faddeev-Popov-Determinant of Polyakov Path Integral

I'm currently trying to understand the paper "Quantum Geometry of bosonic Strings" by Polyakov. I think I roughly understand the X integration, but when it comes to the integration over the metric ...
Sven's user avatar
  • 21