The partition function of a two-dimensional Abelian gauge model reproducing magnetic vortices is discussed in the harmonic approximation. Classical solutions exhibit conformal invariance, that is broken by statistical fluctuations, apart from an exceptional case. The corresponding “anomaly” has been evaluated. Zero-modes of the thermal fluctuation operator have been carefully discussed.
Zero-modes and conformal anomaly in Liouville vortices
Peloso M.
2000
Abstract
The partition function of a two-dimensional Abelian gauge model reproducing magnetic vortices is discussed in the harmonic approximation. Classical solutions exhibit conformal invariance, that is broken by statistical fluctuations, apart from an exceptional case. The corresponding “anomaly” has been evaluated. Zero-modes of the thermal fluctuation operator have been carefully discussed.
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