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Title: Background-field gauge and decoupling of massive fermions in unbroken gauge theories

Abstract

In an unbroken gauge theory with coupling constant g containing very heavy fermions of mass M, the low-energy phenomena involving the gauge bosons only can be described by a pure Yang-Mills theory with different coupling constant g( which can be determined as a function of g and M order by order in perturbation theory. Working in the background-field gauge we demonstrate by explicit calculation that the relation between g( and g and M up to two-loop orders is independent of the gauge-fixing parameter of the original theory.

Authors:
Publication Date:
Research Org.:
Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
OSTI Identifier:
5691801
Resource Type:
Journal Article
Journal Name:
Phys. Rev. D; (United States)
Additional Journal Information:
Journal Volume: 28:6
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERMIONS; GAUGE INVARIANCE; BOSONS; COUPLING CONSTANTS; MASS; PERTURBATION THEORY; PROPAGATOR; RENORMALIZATION; VACUUM POLARIZATION; WAVE FUNCTIONS; YANG-MILLS THEORY; FUNCTIONS; INVARIANCE PRINCIPLES; 645400* - High Energy Physics- Field Theory; 645301 - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987)

Citation Formats

Chattopadhyay, U. Background-field gauge and decoupling of massive fermions in unbroken gauge theories. United States: N. p., 1983. Web. doi:10.1103/PhysRevD.28.1557.
Chattopadhyay, U. Background-field gauge and decoupling of massive fermions in unbroken gauge theories. United States. https://doi.org/10.1103/PhysRevD.28.1557
Chattopadhyay, U. 1983. "Background-field gauge and decoupling of massive fermions in unbroken gauge theories". United States. https://doi.org/10.1103/PhysRevD.28.1557.
@article{osti_5691801,
title = {Background-field gauge and decoupling of massive fermions in unbroken gauge theories},
author = {Chattopadhyay, U},
abstractNote = {In an unbroken gauge theory with coupling constant g containing very heavy fermions of mass M, the low-energy phenomena involving the gauge bosons only can be described by a pure Yang-Mills theory with different coupling constant g( which can be determined as a function of g and M order by order in perturbation theory. Working in the background-field gauge we demonstrate by explicit calculation that the relation between g( and g and M up to two-loop orders is independent of the gauge-fixing parameter of the original theory.},
doi = {10.1103/PhysRevD.28.1557},
url = {https://www.osti.gov/biblio/5691801}, journal = {Phys. Rev. D; (United States)},
number = ,
volume = 28:6,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 1983},
month = {Thu Sep 15 00:00:00 EDT 1983}
}