Weyl Anomaly of 2D Dilaton-Scalar Gravity and Hermiticity of System Operator

Details Weyl Anomaly of 2D Dilaton-Scalar Gravity and Hermiticity of System Operator Weyl Anomaly of 2D Dilaton-Scalar Gravity and Hermiticity of System Operator

1997-07-02

arxiv.org/abs/hep-th/9707025v5

Phys.Rev. D57 (1998) 6224-6229

Physics

High Energy Physics

High Energy Physics - Theory

10 pages,Latex,no figures,minor changes, Phys.Rev.D to appear

Scientific paper

10.1103/PhysRevD.57.6224

Weyl Anomaly in the dilaton-scalar system in 2 dimensional gravity is examined. We take the heat-kernel regularization for the ultraviolet divergences. Generally the Weyl anomaly is determined by the 2nd order differential (elliptic) operator of the system and the definition of the measure. We have the freedom of the operator choice caused by the arbitrariness of total divergences (surface terms) in the action. We examine the Weyl anomaly in connection with such points and the hermiticity of the operator.

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