A bag model derivation from the principle of gauge invariance

1980 ◽  
Vol 58 (9) ◽  
pp. 1367-1374
Author(s):  
Christos Ragiadakos
Keyword(s):  
Gauge Symmetry ◽  
Gauge Invariance ◽  
Gauge Theories ◽  
Higgs Mechanism ◽  
Gauge Model ◽  
Bag Model ◽  
Quark Sector ◽  
Mit Bag Model ◽  
Model Derivation ◽  
Free Quark

From a direct generalization of the Lagrangians of gauge theories we derive the MIT bag model Lagrangian. An additional free quark sector is derived which may disappear after the proper quantization of the bag Lagrangian. When the gauge symmetry is spontaneously broken via a Higgs mechanism, we show that the fields can be liberated. The realistic [Formula: see text] gauge model (Weinberg–Salam model with chromodynamics) is explicitly studied.

scholarly journals CHARGES AND MASS SPECTRUM IN THE PISANO–PLEITEZ–FRAMPTON 3-3-1 GAUGE MODEL

2008 ◽  
Vol 23 (14) ◽  
pp. 1011-1030 ◽  
Author(s):  
ION I. COTĂESCU ◽  
ADRIAN PALCU
Keyword(s):  
Mass Spectrum ◽  
Gauge Symmetry ◽  
Standard Model ◽  
Neutrino Mass ◽  
Higgs Mechanism ◽  
Gauge Model ◽  
Gauge Models ◽  
Fermion Masses ◽  
Mass Pattern ◽  
General Method

The Pisano–Pleitez–Frampton 3-3-1 model is revisited here within the framework of the general method for solving gauge models with high symmetries. This exact algebraical approach — proposed several years ago by one of us — was designed to include a minimal Higgs mechanism that spontaneously breaks the gauge symmetry up to the universal U(1)em electromagnetic one and, consequently, to supply the mass spectrum and the couplings of the currents for all the particles in the model. We prove in this paper that this powerful tool, when is applied to the PPF 3-3-1 model, naturally recovers the whole Standard Model phenomenology and, in addition, predicts — since a proper parametrization is employed — viable results such as: (i) the exact expressions for the boson and fermion masses, (ii) the couplings of the charged and neutral currents and (iii) a plausible neutrino mass pattern. A generalized Weinberg transformation is implemented, while the mixing between the neutral bosons Z and Z′ is performed as a necessary step by the method itself. Some phenomenological consequences are also sketched, including the strange possibility that simultaneously m(Z) = m(Z′) and m(W) = m(V) hold.

GAUGE THEORIES OF GRAVITY AND MASS GENERATION

2008 ◽  
Vol 05 (02) ◽  
pp. 197-232 ◽  
Author(s):  
V. ALDAYA ◽  
E. SÁNCHEZ-SASTRE
Keyword(s):  
Gauge Symmetry ◽  
Gauge Group ◽  
Gauge Invariance ◽  
Gauge Theories ◽  
Weyl Groups ◽  
Mass Generation ◽  
Fundamental Symmetry ◽  
Gravitational Theories ◽  
Theories Of Gravity ◽  
Diffeomorphism Symmetry

The compensating Utiyama's method including space-time symmetries is revisited as well as the gauge gravitational theories associated with translation, Poincaré and Weyl groups. Then we propose an extension of the gauge symmetry, allowing for the incorporation of the gauge group parameters into the theory as dynamical fields by considering the jet-gauge group as fundamental symmetry. As a consequence, a natural mass-generating mechanism for the gauge potentials arises without damaging gauge invariance. We also present, as a simple example, some sort of generalized Stueckelberg model for the Weyl group, thus accounting for massive dilatonic gauge field. Finally, the standard diffeomorphism symmetry of gravitation is extended by resorting to the jet-diffeomorphism group, formalism which helps to fix the Hilbert-Einstein Lagrangian in the teleparallelism version.

A FORMULATION OF CHIRAL GAUGE THEORIES OFF AND ON THE LATTICE

1992 ◽  
Vol 07 (01) ◽  
pp. 177-191 ◽  
Author(s):  
T. D. KIEU
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Gauge Theories ◽  
Vector Boson ◽  
Higgs Mechanism ◽  
Boson Mass ◽  
Mass Terms

A formulation is proposed of Abelian chiral gauge theory which is invariant with respect to a gauge symmetry and admits both fermion and vector-boson mass terms, without invoking the Higgs mechanism. The issues of unitarity and renormalizability are discussed, and a lattice chiral regularization free from the problem of fermion-species doubling is constructed and compared with others.

scholarly journals Quark cores in extensions of the MIT Bag model

2021 ◽  
Author(s):  
Salil Joshi ◽  
Sovan Sau ◽  
Soma Sanyal
Keyword(s):  
Bag Model ◽  
Mit Bag Model

Phenomenological surface inertia in the MIT bag model

1983 ◽  
Vol 27 (11) ◽  
pp. 2708-2714 ◽  
Author(s):  
P. J. Mulders ◽  
G. Bhamathi ◽  
L. Heller ◽  
A. T. Aerts ◽  
A. K. Kerman
Keyword(s):  
Bag Model ◽  
Mit Bag Model

Microcosmos and Macrocosmos: A Look at these Two Universes in a Unified Way

1997 ◽  
Vol 12 (07) ◽  
pp. 1373-1384 ◽  
Author(s):  
P. R. Silva
Keyword(s):  
Strong Interaction ◽  
Gravitational Force ◽  
Inertial Mass ◽  
Hadronic Matter ◽  
Vacuum Pressure ◽  
Bag Model ◽  
Small Oscillations ◽  
Mit Bag Model ◽  
Two Universes ◽  
The Universe

An extension of the MIT bag model, developed to describe the strong interaction inside the hadronic matter (nucleons), is proposed as a means to account for the confinement of matter in the universe. The basic hypotheses of the MIT bag model are worked out in a very simplified way and are also translated in terms of the gravitational force. We call the nucleon "microcosmos" and the bag-universe "macrocosmos." We have found a vacuum pressure of 10-15 atm at the boundary of the bag-universe as compared with a pressure of 1029 atm at the boundary of the nucleon. Both universes are also analyzed in the light of Sciama's theory of inertia, which links the inertial mass of a body to its interaction with the rest of the universe. One of the consequences of this work is that the Weinberg mass can be interpreted as a threshold mass, namely the mass where the frequency of the small oscillations of a particle coupled to the universe matches its de Broglie frequency. Finally, we estimate an averaged density of matter in the universe, corresponding to [Formula: see text] of the critical or closure density.

SUPERSYMMETRIC TENSOR GAUGE THEORIES

1989 ◽  
Vol 04 (14) ◽  
pp. 1343-1353 ◽  
Author(s):  
T.E. CLARK ◽  
C.-H. LEE ◽  
S.T. LOVE
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Sigma Models ◽  
Gauge Field ◽  
Gauge Theories ◽  
Symmetric Tensor ◽  
Global Symmetry ◽  
Invariant Action ◽  
Symmetry Transformations ◽  
Linear Sigma Models

The supersymmetric extensions of anti-symmetric tensor gauge theories and their associated tensor gauge symmetry transformations are constructed. The classical equivalence between such supersymmetric tensor gauge theories and supersymmetric non-linear sigma models is established. The global symmetry of the supersymmetric tensor gauge theory is gauged and the locally invariant action is obtained. The supercurrent on the Kähler manifold is found in terms of the supersymmetric tensor gauge field.

scholarly journals Sp(4) gauge theories and beyond the standard model physics

2022 ◽  
Vol 258 ◽  
pp. 08003
Author(s):  
Biagio Lucini ◽  
Ed Bennett ◽  
Jack Holligan ◽  
Deog Ki Hong ◽  
Ho Hsiao ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Beyond The Standard Model ◽  
Dirac Fermions ◽  
Gauge Model ◽  
Meson Spectrum ◽  
Main Motivation ◽  
Preliminary Results ◽  
The Standard Model ◽  
Glueball Spectrum ◽  
Antisymmetric Representation

We review numerical results for models with gauge group Sp(2N), discussing the glueball spectrum in the large-N limit, the quenched meson spectrum of Sp(4) with Dirac fermions in the fundamental and in the antisymmetric representation and the Sp(4) gauge model with two dynamical Dirac flavours. We also present preliminary results for the meson spectrum in the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac flavours. The main motivation of our programme is to test whether this latter model is viable as a realisation of Higgs compositeness via the pseudo Nambu Goldstone mechanism and at the same time can provide partial top compositeness. In this respect, we report and briefly discuss preliminary results for the mass of the composite baryon made with two fundamental and one antisymmetric fermion (chimera baryon), whose physical properties are highly constrained if partial top compositeness is at work. Our investigation shows that a fully non-perturbative study of Higgs compositeness and partial top compositeness in Sp(4) is within reach with our current lattice methodology.

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