scholarly journals MASS GENERATION FOR NON-ABELIAN GAUGE FIELDS WITHOUT SCALARS

1995 ◽  
Vol 10 (25) ◽  
pp. 3581-3592
Author(s):  
DIDIER CAENEPEEL ◽  
MARTIN LEBLANC
Keyword(s):  
Type Theory ◽  
Functional Integration ◽  
Higgs Mechanism ◽  
Coupling Constants ◽  
Fine Tuning ◽  
Effective Theory ◽  
Gauge Fields ◽  
Mass Generation ◽  
Abelian Gauge

We present an alternative to the Higgs mechanism for generating masses for non-Abelian gauge fields in 3+1 dimensions. The initial Lagrangian is composed of a fermion with current-current and dipole-dipole type self-interactions minimally coupled to non-Abelian gauge fields. The mass generation occurs when we perform a fermionic functional integration. We show that by fine-tuning the coupling constants, the effective theory may be written as a BΛF type theory describing massive non-Abelian gauge fields.

The Higgs boson: A major discovery and a problem

2019 ◽  
pp. 195-208
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Higgs Boson ◽  
Particle Physics ◽  
Gauge Theories ◽  
Higgs Mechanism ◽  
Higgs Model ◽  
Fermion Mass ◽  
Simplified Models ◽  
Mass Generation ◽  
Abelian Gauge ◽  
The Standard Model

Chapter 12 describes the main steps in the construction of the electroweak component of the Standard Model of particle physics. The classical Abelian Landau–Ginzburg–Higgs mechanism is recalled, first introduced in the macroscopic description of a superconductor in a magnetic field. It is based on a combination of spontaneous symmetry breaking and gauge invariance. It can be generalized to non–Abelian gauge theories, quantized and renormalized. The recent discovery of the predicted Higgs boson has been the last confirmation of the validity of the model. Some aspects of the Higgs model and its renormalization group (RG) properties are illustrated by simplified models, a self–interacting Higgs model with the triviality issue, and the Gross–Neveu–Yukawa model with discrete chiral symmetry, which illustrates spontaneous fermion mass generation and possible RG flows.

ASYMPTOTIC COMPLETENESS AND THE THREE-DIMENSIONAL GAUGE THEORY HAVING THE CHERN-SIMON TERM

1989 ◽  
Vol 04 (05) ◽  
pp. 1055-1064 ◽  
Author(s):  
N. NAKANISHI
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Three Dimensional ◽  
Asymptotic Completeness ◽  
Higgs Mechanism ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Covariant Gauge ◽  
Asymptotic Fields

The three-dimensional Abelian gauge theory having the Chern-Simon term is studied. When matter current is absent, the gauge field in covariant gauge is explicitly expressed in terms of asymptotic fields. It is shown that the mechanism of mass generation can be understood as a kind of the Higgs mechanism.

scholarly journals Localisation and mass generation for non-Abelian gauge fields

2003 ◽  
Vol 2003 (01) ◽  
pp. 068-068 ◽  
Author(s):  
Mikko Laine ◽  
Harvey B Meyer ◽  
Kari Rummukainen ◽  
Mikhail Shaposhnikov
Keyword(s):  
Gauge Fields ◽  
Mass Generation ◽  
Abelian Gauge

scholarly journals POSSIBLE CONFINEMENT MECHANISMS FOR NONRELATIVISTIC PARTICLES ON A LINE

2001 ◽  
Vol 16 (29) ◽  
pp. 1919-1932
Author(s):  
P. C. STICHEL ◽  
W. J. ZAKRZEWSKI
Keyword(s):  
Quantum Mechanics ◽  
Particle System ◽  
Coupling Constants ◽  
Energy Spectra ◽  
Gauge Fields ◽  
Gauge Model ◽  
Abelian Gauge ◽  
Gravitational Fields ◽  
Gauge Interaction ◽  
Moyal Quantization

The gauge model of nonrelativistic particles on a line interacting with nonstandard gravitational fields5 is supplemented by the addition of a (non)-Abelian gauge interaction. Solving for the gauge fields we obtain equations, in closed form, for a classical two-particle system. The corresponding Schrödinger equation, obtained by the Moyal quantization procedure, is solved analytically. Its solutions exhibit two different confinement mechanisms — dependent on the sign of the coupling λ to the nonstandard gravitational fields. For λ >0 confinement is due to a rising potential, whereas for λ<0 it is due to the dynamical (geometric) bag formation. Numerical results for the corresponding energy spectra are given. For a particular relation between two coupling constants, the model fits into the scheme of supersymmetrical quantum mechanics.

NON-COMPACT WZW MODELS AS MASSLESS (QCD)2 AT INFINITE COUPLING

1990 ◽  
Vol 05 (22) ◽  
pp. 4241-4255 ◽  
Author(s):  
Z. HABA
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Functional Integration ◽  
Two Dimensions ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Left Handed ◽  
Scaling Dimension ◽  
Massless Fermions

Wess-Zumino-Witten (WZW) (compact and non-compact) coset Lagrangians arise as effective Lagrangians of Euclidean non-Abelian gauge fields coupled to (right- and left-handed) massless fermions in two dimensions. We choose coordinates on the non-compact coset in such a way that the WZW model becomes soluble through the functional integration. We interprete the model as a massless QCD (without the F2 gluon self-interaction). We discuss the fermionic Green's functions in this model. We show that the Fermi fields in (QCD) 2 become scale-invarient in the infinite coupling limit with a non-canonical scaling dimension.

scholarly journals INDUCED B∧F TERM AND PHOTON MASS GENERATION IN 3+1 DIMENSIONS

1994 ◽  
Vol 09 (27) ◽  
pp. 4717-4726 ◽  
Author(s):  
M. LEBLANC ◽  
R. MACKENZIE ◽  
P.K. PANIGRAHI ◽  
R. RAY
Keyword(s):  
Effective Action ◽  
Higgs Mechanism ◽  
Photon Mass ◽  
Dimensional Model ◽  
Field Mass ◽  
Long Distance ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Gap Equation ◽  
The One

Analyzing a (3+1)-dimensional model with four-fermi interactions, we show that topological B∧F terms (both Abelian and non-Abelian) can be induced radiatively by massive fermions at the one-loop level. It is further pointed out that a mechanism of photon (or non-Abelian gauge field) mass generation distinct from the usual Higgs mechanism, through the B∧F term, is also implemented in the long distance effective action of this model, provided a gap equation is satisfied.

scholarly journals HIGGS MECHANISM IN THE PRESENCE OF A TOPOLOGICAL TERM

2002 ◽  
Vol 17 (01) ◽  
pp. 89-108 ◽  
Author(s):  
ICHIRO ODA
Keyword(s):  
Degrees Of Freedom ◽  
Goldstone Boson ◽  
Higgs Mechanism ◽  
Gauge Fields ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Time Dimension ◽  
Abelian Gauge ◽  
Gauge Groups ◽  
Topological Term

In cases of both Abelian and non-Abelian gauge groups, we study the Higgs mechanism in the topologically massive gauge theories in an arbitrary space–time dimension. We show that when the conventional Higgs potential coexists with a topological term, gauge fields become massive by "eating" simultaneously both the Nambu–Goldstone boson and a higher-rank tensor field and instead a new massless scalar field is "vomitted" in the physical spectrum. Because of the appearance of this new massless field, the number of the physical degrees of freedom remains unchanged before and after the spontaneous symmetry breakdown. Moreover, the fact that the new field is a physical and positive norm state is rigorously proved by performing the manifestly covariant quantization of the model in three and four dimensions. In the mechanism at hand, the presence of a topological term makes it possible to shift the mass of gauge fields in a nontrivial manner compared to the conventional value.

LOCALIZATION OF NONLOCAL LAGRANGIANS AND MASS GENERATION FOR NON-ABELIAN GAUGE FIELDS

2008 ◽  
Vol 23 (26) ◽  
pp. 4289-4313
Author(s):  
ALEXEY SEVOSTYANOV
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Gauge Fields ◽  
Green Functions ◽  
Coupling Constant ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Yang Mills ◽  
Dimensional Space Time ◽  
Three Dimensional Space

We introduce and study the four-dimensional analogue of a mass generation mechanism for non-Abelian gauge fields suggested in the paper, Phys. Lett. B403, 297 (1997), in the case of three-dimensional space–time. The construction of the corresponding quantized theory is based on the fact that some nonlocal actions may generate local expressions for Green functions. An example of such a theory is the ordinary Yang–Mills field where the contribution of the Faddeev–Popov determinant to the Green functions can be made local by introducing additional ghost fields. We show that the quantized Hamiltonian for our theory unitarily acts in a Hilbert space of states and prove that the theory is renormalizable to all orders of perturbation theory. One-loop coupling constant and mass renormalizations are also calculated.

scholarly journals Dilatonic dyon black hole solutions in the model with two Abelian gauge fields

2018 ◽  
Vol 168 ◽  
pp. 09004
Author(s):  
Medeu Abishev ◽  
Dmitry Ivashchuk ◽  
Kuantay Boshkayev ◽  
Algys Malybayev
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Coupling Constants ◽  
Gravitational Mass ◽  
Kinetic Term ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Dilatonic Black Hole ◽  
Ghost Scalar Field ◽  
Black Hole Solutions

Dilatonic black hole dyon-like solutions in the gravitational 4d model with a scalar field, two 2-forms, two dilatonic coupling constants λi ≠ 0, i = 1,2, obeying λ1 ≠ − λ2 and sign parameter ε = ±1 for scalar field kinetic term are considered. Here ε = −1 corresponds to ghost scalar field. These solutions are defined up to solutions of two master equations for two moduli functions, when λi2 ≠ 1/2 for ε = −1. A set of bounds on gravitational mass and scalar charge are presented by using a certain conjecture on parameters of solutions, when 1 + 2λi2ε > 0, i = 1, 2.

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