Parametrization invariance and the resolution of the unitary gauge puzzle

Kelly, P. F.; Kobes, R.; Kunstatter, G.

doi:10.1103/physrevd.50.7592

Cited by 11 publications

(9 citation statements)

References 13 publications

(30 reference statements)

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“…Of course, the presence of the heat bath four-velocity introduces additional invariants in the finite temperature effective action [17]. The critical temperature (in the high temperature regime) determined from the unitary gauge was shown to agree with that determined from other gauges [18,19].…”

Section: Su (2) Higgs Theoriesmentioning

confidence: 66%

Effective Action of Spontaneously Broken Gauge Theories

Tye

Vtorov-Karevsky

1998

Int. J. Mod. Phys. A

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The effective action of a Higgs theory should be gauge-invariant. However, the quantum and/or thermal contributions to the effective potential seem to be gaugedependent, posing a problem for its physical interpretation. In this paper, we identify the source of the problem and argue that in a Higgs theory, perturbative contributions should be evaluated with the Higgs fields in the polar basis, not in the Cartesian basis. Formally, this observation can be made from the derivation of the Higgs theorem, which we provide. We show explicitly that, properly defined, the effective action for the Abelian Higgs theory is gauge invariant to all orders in perturbation expansion when evaluated in the covariant gauge in the polar basis. In particular, the effective potential is gauge invariant. We also show the equivalence between the calculations in the covariant gauge in the polar basis and the unitary gauge. These points are illustrated explicitly with the oneloop calculations of the effective action. With a field redefinition, we obtain the physical effective potential. The SU(2) non-Abelian case is also discussed.

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Section: Su (2) Higgs Theoriesmentioning

confidence: 66%

Effective Action of Spontaneously Broken Gauge Theories

Tye

Vtorov-Karevsky

1998

Int. J. Mod. Phys. A

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“…In the conventional quantization in Cartesian coordinates for the complex SU(2) doublet or real O(4) multiplet the theory is renormalizable and has one set of quantum corrections. In the spherical coordinate system (used, for example, for the description of the chiral phase of SM [47,6]) the theory is non-renormalizable and has another set of quantum corrections [48]. The S-matrices in both parameterizations coincide, but their off-shell effective actions are different.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field

Barvinsky

Kamenshchik

Kiefer

et al. 2009

J. Cosmol. Astropart. Phys.

245

229

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We consider the renormalization group improvement in the theory of the Standard Model Higgs boson playing the role of an inflaton with a strong non-minimal coupling to gravity. It suggests the range of the Higgs mass 135.6 GeV M H 184.5 GeV compatible with the current CMB data (the lower WMAP bound on n s ), which is close to the widely accepted range dictated by the electroweak vacuum stability and perturbation theory bounds. We find the phenomenon of asymptotic freedom induced by this non-minimal curvature coupling, which brings the theory to the weak coupling domain everywhere except at the lower and upper boundary of this range. The renormalization group running of the basic quantity A I -the anomalous scaling in the non-minimally coupled Standard Model, which analytically determines all characteristics of the CMB spectrum -brings A I to small negative values at the inflation scale. This property is crucial for the above results and may also underlie the formation of initial conditions for the inflationary dynamics in quantum cosmology.

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“…We shall evaluate the field-dependent masses of (13) in the Landau gauge as in [11] instead of the Unitary gauge of ref. [10], in view of the wellknown ambiguity in calculating finite temperature effects in the latter (the so-called unitary gauge puzzle [14]). This gives [11] V T = T 2 24 4m 2…”

Section: Baryogenesis In the Nmssmmentioning

confidence: 99%

Does LEP prefer the NMSSM?

Bastero-Gil

Hugonie²,

King³

et al. 2000

Physics Letters B

190

208

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We study the naturalness of electroweak symmetry breaking and baryogenesis in the next-to-minimal supersymmetric standard model (NMSSM). Our study is motivated by the recent LEP bounds on the Higgs boson mass which severely constrains the low \tan\beta region of the minimal supersymmetric standard model (MSSM). We show that the low \tan \beta region of the NMSSM is clearly favoured over the MSSM with regard to the physical Higgs boson mass, fine-tuning, and electroweak baryogenesis.Comment: 17 pages, Latex, 3 eps figures, typos corrected, reference adde

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Parametrization invariance and the resolution of the unitary gauge puzzle

Cited by 11 publications

References 13 publications

Effective Action of Spontaneously Broken Gauge Theories

Effective Action of Spontaneously Broken Gauge Theories

Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field

Does LEP prefer the NMSSM?

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