Renormalization of the Einstein-Cartan theory in first-order form

被引：0

作者：

Brandt, F. T. ^{[1
]}

Frenkel, J. ^{[1
]}

Martins-Filho, S. ^{[1
]}

McKeon, D. G. C. ^{[2
,3
]}

机构：

[1] Univ Sao Paulo, Inst Fis, BR-05508090 Sao Paulo, SP, Brazil

[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada

[3] Algoma Univ, Dept Math & Comp Sci, Sault Ste Marie, ON P6A 2G4, Canada

来源：

ANNALS OF PHYSICS | 2024年 / 470卷

关键词：

Einstein-Cartan theory; First-order form; Renormalization; GAUGE-THEORIES; FIELD; QUANTIZATION; FORMALISM;

D O I：

10.1016/j.aop.2024.169801

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We examine the Einstein-Cartan (EC) theory in first-order form, which has a diffeomorphism as well as a local Lorentz invariance. We study the renormalizability of this theory in the framework of the Batalin-Vilkovisky formalism, which allows for a gauge invariant renormalization. Using the background field method, we discuss the gauge invariance of the background effective action and analyze the Ward identities which reflect the symmetries of the EC theory. As an application, we compute, in a general background gauge, the self-energy of the tetrad field at one-loop order.

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页数：20

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