Quantum properties of algebraically extended bosonic σ models

Details Quantum properties of algebraically extended bosonic σ models Quantum properties of algebraically extended bosonic σ models

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..40.1919g&link_type=abstract

Physical Review D (Particles and Fields), Volume 40, Issue 6, 15 September 1989, pp.1919-1924

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Field Theories In Dimensions Other Than Four, Theory Of Quantized Fields

Scientific paper

The Weyl anomaly is computed for a class of two-dimensional algebraically extended bosonic σ models. Although these models are classically equivalent to the standard bosonic σ models with torsion, it is shown that they differ radically at the quantum level. In particular, a reasonable choice for the one-loop partition function for the algebraically extended models contains a nonlocal anomalous contribution which cannot be canceled in any dimension. This curious feature appears to be a generic property of a particular type of gauge-invariant vector-scalar coupling in two-dimensional gravity theories.

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