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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Structural identities in the first-order formulation of quantum gravity

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Author(s):
Brandt, F. T. [1] ; Frenkel, J. [1] ; Martins-Filho, S. [1] ; McKeon, D. G. C. [2, 3]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: Physical Review D; v. 102, n. 4 AUG 17 2020.
Web of Science Citations: 0
Abstract

We study the self-consistency of the first-order formulation of quantum gravity, which may be attained by introducing, apart from the graviton field, another auxiliary quantum field. By comparing the forms of the generating functional Z before and after integrating out the additional field, we derive a set of structural identities, which must be satisfied by the Green's functions at all orders. These are distinct from the usual Ward identities, being necessary for the self-consistency of the first-order formalism. They relate the Green's functions involving the additional quantum field to those containing a certain composite graviton field, which corresponds to its classical value. Thereby, the structural identities lead to a simple interpretation of the auxiliary field. (AU)

FAPESP's process: 18/01073-5 - Renormalizability of gauge theories in the first order formalism
Grantee:Fernando Tadeu Caldeira Brandt
Support Opportunities: Research Grants - Visiting Researcher Grant - International