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Results tagged with conformal-field-theory
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user 222569
A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In 2D, the infinite-dimensional algebra of local conformal transformations normally permits exact solution or classification of such theories. Further use for CFT applications to string theory, statistical mechanics, and condensed matter physics.
7
votes
3
answers
853
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Gauge invariance of Faddeev-Popov determinant in bosonic string theory
I am, once again, going through an introduction to (bosonic) string theory, following the lecture notes by David Tong on the subject, and once again I am stumbling on technicalities around the Polyako …
- 261
4
votes
0
answers
308
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 f …
- 261
4
votes
Accepted
Gauge invariance of Faddeev-Popov determinant in bosonic string theory
Let $Z[g]$ be the partition function of a conformal field theory with central charge $c$ on a genus $0$ surface, $F[g]=\ln Z[g]$ the "free energy".
It is a standard result that
\begin{equation}
g^{a …
- 261