Dynamical breakdown of Abelian gauge chiral symmetry by strong Yukawa interactions
- Department of Theoretical Physics, Nuclear Physics Institute, Rez (Prague) (Czech Republic)
We consider a model with anomaly-free Abelian gauge axial-vector symmetry, which is intended to mimic the standard electroweak gauge chiral SU(2){sub L}xU(1){sub Y} theory. Within this model we demonstrate: (1) Strong Yukawa interactions between massless fermion fields and a massive scalar field carrying the axial charge generate dynamically the fermion and boson proper self-energies, which are ultraviolet-finite and chirally noninvariant. (2) Solutions of the underlying Schwinger-Dyson equations found numerically exhibit a huge amplification of the fermion mass ratios as a response to mild changes of the ratios of the Yukawa couplings. (3) The 'would-be' Nambu-Goldstone boson is a composite of both the fermion and scalar fields, and it gives rise to the mass of the axial-vector gauge boson. (4) Spontaneous breakdown of the gauge symmetry further manifests by mass splitting of the complex scalar and by new symmetry-breaking vertices, generated at one loop. In particular, we work out in detail the cubic vertex of the Abelian gauge boson.
- OSTI ID:
- 21020105
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
CHIRAL SYMMETRY
CHIRALITY
FERMIONS
GAUGE INVARIANCE
GOLDSTONE BOSONS
MATHEMATICAL SOLUTIONS
REST MASS
SCALAR FIELDS
SCHWINGER FUNCTIONAL EQUATIONS
SELF-ENERGY
STANDARD MODEL
STRONG INTERACTIONS
SU-2 GROUPS
SYMMETRY BREAKING
U-1 GROUPS
ULTRAVIOLET RADIATION