On restricting first order form of gauge theories to one-loop order

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: ANNALS OF PHYSICS; v. 427, APR 2021.
• Citações Web of Science: 0

Resumo

The first order form of the Yang-Mills and Einstein-Hilbert actions are quantized, and it is shown how Green's functions computed using the first and the second order form of these theories are related. Next we show how by use of Lagrange multiplier fields (LM), radiative effects beyond one-loop order can be eliminated. This allows one to compute Green's functions exactly without loss of unitarity. The consequences of this restriction on radiative effects are examined for the Yang-Mills and Einstein-Hilbert actions. In these two gauge theories, we find that the quantized theory is both renormalizable and unitary once the LM field is used to eliminate effects beyond one-loop order. (C) 2021 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