A $ SO(1,3)$ gauge theory of quantum gravity: quantization of the non-interacting field

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The Quantization of Anomalous Gauge Field Theory and BRST-invariant Models of Two Dimensional Quantum Gravity

We analyze the problems with the so called gauge invariant quantization of the anomalous gauge field theories originary due to Faddeev and Shatashvili (FS). Our analysis bring to a generalization of FS method which allows to construct a series of classically equivalent theories which are non equivalent at quantum level. We prove that these classical theories are all consistent with the BRST inv...

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Quantization of anomalous gauge field theory and BRST-invariant models of two-dimensional quantum gravity.

We analyze the problems with the so called gauge invariant quantization of the anomalous gauge field theories originary due to Faddeev and Shatashvili (FS). Our analysis bring to a generalization of FS method which allows to construct a series of classically equivalent theories which are non equivalent at quantum level. We prove that these classical theories are all consistent with the BRST inv...

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The Quantization of Anomalous Gauge Field Theory

ABSTRACT We discuss the so called gauge invariant quantization of anomalous gauge field theory, originally due to Faddeev and Shatashvili. It is pointed out that the further non invariance of relevant path integral measures poses a problem when one tries to translate it to BRST formalism. The method by which we propose to get around of this problem introduces certain arbitrariness in the model....

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ژورنال

عنوان ژورنال: Classical and Quantum Gravity

سال: 2019

ISSN: 0264-9381,1361-6382

DOI: 10.1088/1361-6382/ab5624