First order formulation of the Yang-Mills theory in a background field

Autor(es)

Brandt, F. T. ^[1] ; Frenkel, J. ^[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: ANNALS OF PHYSICS; v. 409, OCT 2019.
• Citações Web of Science: 1

Resumo

The background gauge renormalization of the first order formulation of the Yang-Mills theory is studied by using the BRST identities. Together with the background symmetry, these identities allow for an iterative proof of renormalizability to all orders in perturbation theory. However, due to the fact that certain improper diagrams which violate the BRST symmetry should be removed, the renormalizability must be deduced indirectly. The recursive method involves rescalings and mixings of the fields, which lead to a renormalized effective action for the background field theory. (C) 2019 Elsevier Inc. All rights reserved. (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