Structural identities in the first-order formulation of quantum gravity

Autor(es)

Brandt, F. T. ^[1] ; Frenkel, J. ^[1] ; Martins-Filho, S. ^[1] ; McKeon, D. G. C. ^{[2, 3]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Physical Review D; v. 102, n. 4 AUG 17 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/01073-5 - Renormalizabilidade de teorias de calibre no formalismo de primeira ordem
• Beneficiário: Fernando Tadeu Caldeira Brandt
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional