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New gauge for computing effective potentials in spontaneously broken gauge theories

Kastening, Boris (1995):
New gauge for computing effective potentials in spontaneously broken gauge theories.
In: Physical Review D, American Physical Society, pp. 265-278, 51, (1), ISSN 0556-2821, [Online-Edition: http://dx.doi.org/10.1103/PhysRevD.51.265],
[Article]

Abstract

A new class of renormalizable gauges is introduced that is particularly well suited to compute effective potentials in spontaneously broken gauge theories. It allows one to keep free gauge parameters when computing the efFective potential from vacuum graphs or tadpoles without encountering mixed propagators of would-be Goldstone bosons and longitudinal modes of the gauge 6eld. As an illustrative example several quantities are computed within the Abelian Higgs model, which is renormalized at the two-loop level. The zero temperature effective potential in the new gauge is compared to that in the Bg gauge at the one-loop level and not only found to be easier to compute but also to have a more convenient analytical structure. To demonstrate the renormalizability of the gauge for the non-Abelian case, the renormalization of an SU(2)-Higgs model with a completely broken gauge group and of an SO(3)-Higgs model with an unbroken SO(2) subgroup i's outlined and renormalization constants are given at the one-loop level.

Item Type: Article
Erschienen: 1995
Creators: Kastening, Boris
Title: New gauge for computing effective potentials in spontaneously broken gauge theories
Language: English
Abstract:

A new class of renormalizable gauges is introduced that is particularly well suited to compute effective potentials in spontaneously broken gauge theories. It allows one to keep free gauge parameters when computing the efFective potential from vacuum graphs or tadpoles without encountering mixed propagators of would-be Goldstone bosons and longitudinal modes of the gauge 6eld. As an illustrative example several quantities are computed within the Abelian Higgs model, which is renormalized at the two-loop level. The zero temperature effective potential in the new gauge is compared to that in the Bg gauge at the one-loop level and not only found to be easier to compute but also to have a more convenient analytical structure. To demonstrate the renormalizability of the gauge for the non-Abelian case, the renormalization of an SU(2)-Higgs model with a completely broken gauge group and of an SO(3)-Higgs model with an unbroken SO(2) subgroup i's outlined and renormalization constants are given at the one-loop level.

Journal or Publication Title: Physical Review D
Volume: 51
Number: 1
Publisher: American Physical Society
Divisions: 11 Department of Materials and Earth Sciences > Material Science > Advanced Thin Film Technology
11 Department of Materials and Earth Sciences > Material Science
11 Department of Materials and Earth Sciences
Date Deposited: 04 Jan 2013 09:36
Official URL: http://dx.doi.org/10.1103/PhysRevD.51.265
Identification Number: doi:10.1103/PhysRevD.51.265
Funders: This work was supported by Stichting FOM.
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