Two-dimensional effective action for matter fields coupled to the dilaton

Details Two-dimensional effective action for matter fields coupled to the dilaton Two-dimensional effective action for matter fields coupled to the dilaton

1999-10-26

arxiv.org/abs/hep-th/9910198v1

Phys.Rev. D61 (2000) 084010

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 25 pages

Scientific paper

10.1103/PhysRevD.61.084010

We revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an explicitly covariant form that produces both the conformally invariant and the conformally anomalous terms.For scalar fields the conformally invariant part of the action is nonlocal. The obtained effective action is proved to be infrared finite. We also compute the one-loop effective action for scalar fields at finite temperature.

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