The One-Loop Effective Potential in Non-Linear Gauges

Details The One-Loop Effective Potential in Non-Linear Gauges The One-Loop Effective Potential in Non-Linear Gauges

2008-09-09

arxiv.org/abs/0809.1580v2

J.Phys.G36:045006,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LaTeX, 1 figure, references added

Scientific paper

10.1088/0954-3899/36/4/045006

We calculate the 1-loop effective potential of an Abelian Higgs model within the R_{\xi/\sigma} class of non-linear gauges that preserves the Higgs-boson low-energy theorem. The R_{\xi/\sigma} gauge involves two gauge-fixing parameters \xi and \sigma, and is a renormalizable extension of the Feynman--'t Hooft R_\xi set of gauges beyond the 1-loop level. By taking consistently into account Goldstone--gauge-boson mixing effects, we show how the 1-loop effective potential evaluated at its extrema is independent of both \xi and \sigma, in agreement with the Nielsen identity. The 1-loop constant and wavefunction renormalizations are presented within this non-linear R_{\xi/\sigma} class of gauges.

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