Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry

doi:https://doi.org/10.1103/PhysRevD.41.3179

Title: Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry

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Abstract

Using the pinch technique, we show how to recover, from the {ital S} matrix of a spontaneously broken non-Abelian gauge theory, proper self-energies and vertices which are fully gauge invariant when one or more momenta are off shell. Explicit calculations are carried out at the one-loop level for gauge-boson self-energies and fermion--gauge-boson vertices in a simple SU(2) gauge theory with a Higgs boson. The same technique allows us to calculate, at one-loop order, a neutrino electromagnetic form factor which is gauge invariant at all photon momenta, thus resolving a long-standing problem. We show how massless Goldstone bosons, not present in the {ital S} matrix, must be introduced into Green's functions in order to reconcile gauge invariance and renormalizability.

Authors:

Papavassiliou, J ^[1]

Department of Physics, University of California, Los Angeles, California 90024-1547 (US)

Publication Date:: 1990-05-15

OSTI Identifier:: 6940442

Resource Type:: Journal Article

Journal Name:: Physical Review, D (Particles Fields); (USA)

Additional Journal Information:: Journal Volume: 41:10; Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM CHROMODYNAMICS; SELF-ENERGY; ELECTROMAGNETIC FORM FACTORS; FERMIONS; GAUGE INVARIANCE; GOLDSTONE BOSONS; GREEN FUNCTION; HIGGS BOSONS; MASS SPECTRA; NEUTRINOS; PERTURBATION THEORY; RENORMALIZATION; S MATRIX; SU-2 GROUPS; SYMMETRY BREAKING; WARD IDENTITY; BOSONS; ELEMENTARY PARTICLES; ENERGY; FIELD THEORIES; FORM FACTORS; FUNCTIONS; INVARIANCE PRINCIPLES; LEPTONS; LIE GROUPS; MASSLESS PARTICLES; MATRICES; PARTICLE PROPERTIES; POSTULATED PARTICLES; QUANTUM FIELD THEORY; SPECTRA; SU GROUPS; SYMMETRY GROUPS; 645300* - High Energy Physics- Particle Invariance Principles & Symmetries; 645400 - High Energy Physics- Field Theory

Citation Formats


                    Papavassiliou, J. Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry.  United States: N. p., 1990. 
        Web.  doi:10.1103/PhysRevD.41.3179.

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                    Papavassiliou, J. Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry.  United States.  https://doi.org/10.1103/PhysRevD.41.3179

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                    Papavassiliou, J. Tue .  
        "Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry".  United States.  https://doi.org/10.1103/PhysRevD.41.3179.

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@article{osti_6940442,

  title        = {Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry},

  author       = {Papavassiliou, J},

  abstractNote = {Using the pinch technique, we show how to recover, from the {ital S} matrix of a spontaneously broken non-Abelian gauge theory, proper self-energies and vertices which are fully gauge invariant when one or more momenta are off shell. Explicit calculations are carried out at the one-loop level for gauge-boson self-energies and fermion--gauge-boson vertices in a simple SU(2) gauge theory with a Higgs boson. The same technique allows us to calculate, at one-loop order, a neutrino electromagnetic form factor which is gauge invariant at all photon momenta, thus resolving a long-standing problem. We show how massless Goldstone bosons, not present in the {ital S} matrix, must be introduced into Green's functions in order to reconcile gauge invariance and renormalizability.},

  doi          = {10.1103/PhysRevD.41.3179},

  url          = {https://www.osti.gov/biblio/6940442},
  journal      = {Physical Review, D (Particles Fields); (USA)},

  issn         = {0556-2821},

  number       = ,

  volume       = 41:10,

  place        = {United States},

  year         = {1990},

  month        = {5}

}

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Journal Article:

https://doi.org/10.1103/PhysRevD.41.3179

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