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The One-Loop Effective Potential in Non-Linear Gauges · Around

2008

The One-Loop Effective Potential in Non-Linear Gauges

Alexander, Lisa P., Pilaftsis, Apostolos

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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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J. Ellis, J. S. Lee and A. Pilaftsis, Phys. Rev. D 76
Original
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Later among the works it cites.

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