出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:The three-dimensional compact U(1) LGT is studied at finite temperature. In particular, correlation
functions of the Polyakov loops and the ’t Hooft operator are computed perturbatively at high
temperatures. Performing dimensional reduction the effective two-dimensional model is obtained
which describes vortex–anti-vortex dynamics in the high-temperature regime. We explore this
effective model to study in details the critical behaviour which is expected to be of the BKT type.
Under the standard assumptions we compute critical indices and compare them with those of the
two-dimensional XY model.