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Gauge Independence of the Effective Potential Revisited

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arxiv hep-th/9902084 v3 pith:2ZW6IV4C submitted 1999-02-11 hep-th hep-ph

classification hep-thhep-ph
keywords gaugeeffectiveparameterspotentialformalismgauge-fixingidentitiesindependence
verification ladder T0 review T1 audit T2 compute T3 formal

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We apply the formalism of extended BRS symmetry to the investigation of the gauge dependence of the effective potential in a spontaneously symmetry broken gauge theory. This formalism, which includes a set of Grassmann parameters defined as the BRS variations of the gauge-fixing parameters, allows us to derive in a quick and unambiguous way the related Nielsen identities, which express the physical gauge independence, in a class of generalized 't Hooft gauges, of the effective potential. We show in particular that the validity of the Nielsen identities does not require any constraint on the gauge-fixing parameters, to the contrary of some claims found in the literature. We use the method of algebraic renormalization, which leads to results independent of the particular renormalization scheme used.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gauge Choices, Infrared Pitfalls, and Thermal Effects in Effective Potentials

    hep-th 2025-07 conditional novelty 5.0 of 10

    Including a multiplicative anomaly or using the Heat Kernel method makes the one-loop effective potential in the Fermi gauge independent of the gauge parameter and improves its infrared behaviour, also at finite temperature.

  2. Comments on the gauge dependence of the effective potential and the utility of the Vilkovisky-DeWitt formalism

    hep-th 2025-11 conditional novelty 3.0 of 10

    At an extremum, the effective potential is independent of the gauge-fixing parameter when the gauge-fixing function has zero vacuum expectation value; the Vilkovisky-DeWitt potential is gauge-fixing independent by con...

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