Dynamical symmetry breaking and particle mass generation in gauge field theories

1983 ◽  
Vol 6 (5) ◽  
pp. 1-90 ◽  
Author(s):  
P. I. Fomin ◽  
V. P. Gusynin ◽  
V. A. Miransky ◽  
Yu. A. Sitenko
Keyword(s):  
Symmetry Breaking ◽  
Gauge Field ◽  
Dynamical Symmetry ◽  
Gauge Field Theories ◽  
Particle Mass ◽  
Field Theories ◽  
Mass Generation ◽  
Dynamical Symmetry Breaking

Aspects of dynamical symmetry breaking in gauge field theories

1989 ◽  
Vol 323 (3) ◽  
pp. 493-512 ◽  
Author(s):  
William A. Bardeen ◽  
C.N. Leung ◽  
S.T. Love
Keyword(s):  
Symmetry Breaking ◽  
Gauge Field ◽  
Dynamical Symmetry ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Dynamical Symmetry Breaking

ON THE EFFECTIVE ACTION IN FIELD THEORIES WITH DYNAMICAL SYMMETRY BREAKING

1991 ◽  
Vol 06 (26) ◽  
pp. 2443-2452 ◽  
Author(s):  
V. P. GUSYNIN ◽  
V. A. MIRANSKY
Keyword(s):  
Symmetry Breaking ◽  
Effective Action ◽  
Green's Functions ◽  
Green’S Functions ◽  
Dynamical Symmetry ◽  
Low Energy ◽  
Field Theories ◽  
Dynamical Symmetry Breaking ◽  
Derivatives Of

An approach to the low energy effective action based on the formalism of Green's functions of composite is developed in field theories with dynamical symmetry breaking. The effective action of the gauged Nambu-Jona-Lasinio model is derived as a series in powers of the derivatives of composite fields. The mechanism of scale symmetry breaking in this model is discussed.

scholarly journals ERG AND SCHWINGER-DYSON EQUATIONS – COMPARISON IN FORMULATIONS AND APPLICATIONS –

2001 ◽  
Vol 16 (11) ◽  
pp. 1913-1925 ◽  
Author(s):  
HARUHIKO TERAO
Keyword(s):  
Symmetry Breaking ◽  
Phase Structure ◽  
Three Dimensional ◽  
Dynamical Symmetry ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Practical Application ◽  
Dynamical Symmetry Breaking ◽  
Large N

The advantageous points of ERG in applications to non-perturbative analyses of quantum field theories are discussed in comparison with the Schwinger-Dyson equations. First we consider the relation between these two formulations specially by examining the large N field theories. In the second part we study the phase structure of dynamical symmetry breaking in three dimensional QED as a typical example of the practical application.

scholarly journals Dynamical symmetry breaking in models with strong Yukawa interactions

2012 ◽  
Vol 62 (1-2) ◽  
pp. 1-274
Author(s):  
Petr Beneš
Keyword(s):  
Symmetry Breaking ◽  
Gauge Boson ◽  
Mass Matrix ◽  
Electroweak Interaction ◽  
Vacuum Expectation ◽  
Dynamical Symmetry ◽  
Boson Mass ◽  
Momentum Dependence ◽  
Mass Generation ◽  
Dynamical Symmetry Breaking

Dynamical symmetry breaking in models with strong Yukawa interactionsThe primary aim of this paper is to explore the possibility of spontaneous symmetry breaking by strong Yukawa dynamics. Technically, the symmetry is assumed to be broken by formation of symmetry-breaking parts of both the scalar and the fermion propagators, rather than by the scalar vacuum expectation values. The idea is first introduced on an example of a toy model with the underlying symmetry being an Abelian one and later applied to a realistic model of electroweak interaction. In addition, the paper also deals with some more general, model-independent issues, applicable not only to the discussed model of strong Yukawa dynamics, but to a wider class of models with dynamical mass generation. First of these issues is the problem of fermion flavor mixing in the presence of fermion self-energies with a general momentum dependence. It is in particular shown how to define the Cabibbo-Kobayashi-Maskawa matrix in such models and argued that it can come out in principle non-unitary. Second issue is the problem of calculating the gauge boson masses when the symmetry is broken by fermion self-energies. On top of deriving the formula for the gauge boson mass matrix we also find corrections to the related Pagels-Stokar formula.

scholarly journals HOW TO TREAT γ5

1998 ◽  
Vol 13 (17) ◽  
pp. 2991-3050 ◽  
Author(s):  
HUNG CHENG ◽  
S. P. LI
Keyword(s):  
Symmetry Breaking ◽  
Vector Meson ◽  
Spontaneous Symmetry Breaking ◽  
Gauge Field ◽  
Dimensional Regularization ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Chiral Fermion ◽  
Gauge Invariant ◽  
The Past

In the past two decades, Dyson's formalism of renormalization has been mostly superceded by dimensional regularization, particularly in the treatment of quantum gauge field theories with spontaneous symmetry breaking or those with chiral fermions. In this paper, we shall carry out explicitly Dyson's subtraction program, making it applicable to such field theories. In particular, we show with the example of the Abelian–Higgs theory how to handle amplitudes of chiral fermions. We show that these amplitudes which involve the γ5 matrix can be calculated in an unambiguous and gauge invariant way. This is done by establishing the subtraction conditions for the propagator of a chiral fermion as well as those for the VVV amplitude, when V denotes the vector meson. The renormalized constants are chosen to satisfy the Ward–Takahashi identities. As a demonstration, we calculate the next-lowest order correction of the anomaly in the Abelian–Higgs model and find that it vanishes.

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