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

Abstract

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.

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

References in corpus (5)

• Trace Anomaly of Dilaton Coupled Scalars in Two Dimensions
• Hawking Radiation for Non-minimally Coupled Matter from Generalized 2D Black Hole Models
• Trace anomaly induced effective action for 2D and 4D dilaton coupled scalars
• Trace Anomaly and Non-Local Effective Action for 2D Conformally Invariant Scalar Interacting with Dilaton
• One-Loop Effective Action for Spherical Scalar Field Collapse

Cited by in corpus (20)

• Dilaton Gravity in Two Dimensions
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Hawking radiation by effective two-dimensional theories
• Quantum Global Structure of de Sitter Space
• Hawking Radiation for Non-minimally Coupled Matter from Generalized 2D Black Hole Models
• Proliferation of de Sitter Space
• Effective action and Hawking radiation for dilaton coupled scalars in two dimensions
• Quantum (in)stability of 2D charged dilaton black holes and 3D rotating black holes
• Thermodynamics of Large AdS Black Holes
• Anomaly induced effective actions in even dimensions and reliability of s-wave approximation
• Conformal anomaly in 2d dilaton-scalar theory
• The nonlinear evolution of de Sitter space instabilities
• Comment on: ``Trace anomaly of dilaton coupled scalars in two dimensions''
• (Non) singular Kantowski-Sachs Universe from quantum spherically reduced matter
• Generalized Virasoro anomaly and stress tensor for dilaton coupled theories
• Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation
• Conformal anomaly for 2d and 4d dilaton coupled spinors
• Conformal Anomaly in 4D Gravity-Matter Theories Non-minimally Coupled with Dilaton
• Unveiling horizons in quantum critical collapse
• The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor