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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.)

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

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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: ANNALS OF PHYSICS; v. 427, APR 2021.
Web of Science Citations: 0
Abstract

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)

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