Effective Action of Composite Fields for General Gauge Theories in BLT-Covariant Formalism

TL;DR

This paper investigates the gauge dependence of the effective action of composite fields in general gauge theories using BLT-covariant formalism, establishing Ward identities and gauge independence theorems.

Contribution

It introduces a new approach to analyze gauge dependence and derives Ward identities within the BLT-covariant formalism for composite fields.

Findings

Ward identities for composite fields are derived.

Gauge fixing independence of the effective action is proved.

Application to Maxwell theory with gravitational-vector interactions is discussed.

Abstract

The gauge dependence of the effective action of composite fields for general gauge theories in the framework of the quantization method by Batalin, Lavrov and Tyutin is studied. The corresponding Ward identities are obtained. The variation of composite fields effective action is found in terms of new set of operators depending on composite field. The theorem of the on-shell gauge fixing independence for the effective action of composite fields in such formalism is proved. brief discussion of gravitational-vector induced interaction for Maxwell theory with composite fields is given.