Conformal anomaly for dilaton coupled electromagnetic field

Abstract

The derivation of the conformal anomaly for dilaton coupled electromagnetic field in curved space is presented. The models of this sort naturally appear in stringy gravity or after spherical reduction of multidimensional Einstein-Maxwell theory. It is shown that unlike the case of minimal vector in curved space or dilaton coupled scalar the anomaly induced effective action cannot be derived. The reason is the same why anomaly induced effective action cannot be constructed for interacting theories (like QED) in curved space.

Latex file, 10 pages

References in corpus (3)

• Trace Anomaly of Dilaton Coupled Scalars in Two Dimensions
• Hawking Radiation for Non-minimally Coupled Matter from Generalized 2D Black Hole Models
• Trace Anomaly and Non-Local Effective Action for 2D Conformally Invariant Scalar Interacting with Dilaton

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• Inflationary Dilatonic de Sitter Universe from Super Yang - Mills Theory Perturbed by Scalars and Spinors
• Non-minimal Einstein-Yang-Mills-dilaton theory