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New gauge for computing effective potentials in spontaneously broken gauge theories

Journal Article · · Physical Review, D (Particles Fields); (United States)
 [1]
  1. Instituut voor Theoretische Fysica, Rijksuniversiteit te Utrecht, Princetonplein 5, P.O. Box 80006, NL-3508 TA Utrecht (Netherlands)
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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 field. 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 [ital R][sub [xi]] 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 is outlined and renormalization constants are given at the one-loop level.
OSTI ID:
6710693
Journal Information:
Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:1; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELEMENTARY PARTICLES
GOLDSTONE BOSONS
HIGGS MODEL
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIALS
PROPAGATOR
RENORMALIZATION
SO GROUPS
SO-2 GROUPS
SO-3 GROUPS
SU GROUPS
SU-2 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED GAUGE MODELS