Gauge independence of the physical fermion mass in the effective action of theories with radiative symmetry breaking

Abstract

I consider an Abelian gauge theory, with a complex scalar field and massless, chiral fermions, in the limit where the couplings and the interactions induce radiative symmetry breaking, and I derive and verify the Nielsen identities that ensure the gauge independence of the physical fermion mass that emerges in the broken phase of the effective action.

arXiv comment15 pages, 3 figures

References in corpus (18)

• The Nielsen Identities of the SM and the definition of mass
• Taming the Goldstone contributions to the effective potential
• Consistent Use of Effective Potentials
• Vacuum Decay in Theories with Symmetry Breaking by Radiative Corrections
• Gauge dependence and renormalization of $\tan \beta$ in the MSSM
• Gauge independence of the bubble nucleation rate in theories with radiative symmetry breaking
• Two-loop scalar self-energies and pole masses in a general renormalizable theory with massless gauge bosons
• Gauge-Independent Scales Related to the Standard Model Vacuum Instability
• Stability of the electroweak ground state in the Standard Model and its extensions
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Interplay of Infrared Divergences and Gauge-Dependence of the Effective Potential
• Phase Transitions and Gauge Artifacts in an Abelian Higgs Plus Singlet Model
• The One-Loop Effective Potential in Non-Linear Gauges
• Gauge invariance of the one-loop effective action of the Higgs field in the SU(2) Higgs model
• Gauge fixing and renormalisation scale independence of tunneling rate in abelian Higgs model and in the Standard Model
• Renormalization of the Abelian-Higgs Model in the R-xi and Unitary gauges and the physicality of its scalar potential
• Gauge Invariant Higgs mass bounds from the Physical Effective Potential
• Derivative expansion and gauge independence of the false vacuum decay rate in various gauges

Cited by in corpus (2)

• Gauge invariance of the vector meson mass in the Coleman-Weinberg model
• A comment on lepton mixing