scholarly journals Removing the gauge parameter dependence of the effective potential by a field redefinition

2014 ◽  
Vol 90 (3) ◽  
Author(s):  
N. K. Nielsen
Keyword(s):  
Effective Potential ◽  
Parameter Dependence ◽  
Gauge Parameter ◽  
Field Redefinition

scholarly journals Gauge parameter dependence in the background field gauge and the construction of an invariant charge

1999 ◽  
Vol 539 (3) ◽  
pp. 691-719 ◽  
Author(s):  
Rainer Häuβling ◽  
Elisabeth Kraus ◽  
Klaus Sibold
Keyword(s):  
Background Field ◽  
Parameter Dependence ◽  
Gauge Parameter

scholarly journals EFFECTIVE ACTION OF SPONTANEOUSLY BROKEN GAUGE THEORIES

1998 ◽  
Vol 13 (01) ◽  
pp. 95-124 ◽  
Author(s):  
S.-H. HENRY TYE ◽  
YAN VTOROV-KAREVSKY
Keyword(s):  
Effective Potential ◽  
Effective Action ◽  
Gauge Theories ◽  
Perturbation Expansion ◽  
Gauge Invariant ◽  
Abelian Case ◽  
Covariant Gauge ◽  
The One ◽  
Higgs Fields ◽  
Field Redefinition

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 gauge-dependent, 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 one-loop calculations of the effective action. With a field redefinition, we obtain the physical effective potential. The SU(2) non-Abelian case is also discussed.

scholarly journals On the gauge parameter dependence of QED

2001 ◽  
Vol 499 (3-4) ◽  
pp. 253-260 ◽  
Author(s):  
Hidenori Sonoda
Keyword(s):  
Parameter Dependence ◽  
Gauge Parameter
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