COMMENT ON MASS GENERATION IN THE CHIRAL SCHWINGER MODEL

1991 ◽  
Vol 06 (18) ◽  
pp. 1657-1663
Author(s):  
THILO BERGER
Keyword(s):  
Gauge Theory ◽  
Gauge Boson ◽  
Invariant Theory ◽  
Low Energy ◽  
Generation Mechanism ◽  
Mass Generation ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Energy Version

The mass generation mechanism for the gauge boson in the chiral Schwinger model is compared with one in the vector Schwinger model. They do not differ substantially, and we argue that an anomalous chiral gauge theory should be seen generally as a special low-energy version of a gauge invariant theory.

The Standard Theory

2017 ◽  
Author(s):  
John Iliopoulos
Keyword(s):  
Gauge Theory ◽  
Invariant Theory ◽  
Standard Theory ◽  
Strong Interactions ◽  
Gauge Invariant ◽  
Electromagnetic Interactions ◽  
Protons And Neutrons ◽  
Free Particles ◽  
Theoretical Predictions ◽  
Theory And Experiment

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.

To Restore the Broken Symmetry in the Nonconfining Schwinger Model

1997 ◽  
Vol 12 (31) ◽  
pp. 5625-5637 ◽  
Author(s):  
Anisur Rahaman
Keyword(s):  
Phase Space ◽  
Gauge Symmetry ◽  
Effective Action ◽  
Invariant Theory ◽  
Broken Symmetry ◽  
Quantum Mechanical ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Proper Extension

A new generalization of the vector Schwinger model is considered where gauge symmetry is broken at the quantum mechanical level. By proper extension of the phase space this broken symmetry has been restored in two different ways. One of these two leads to a BRST-invariant effective action. An equivalent gauge-invariant theory is reformulated even in the usual phase space also.

scholarly journals LEPTON MASS GENERATION AND FAMILY NUMBER VIOLATION MECHANISM IN THE SU(6)L⊗ U(1)Y MODEL

1998 ◽  
Vol 13 (32) ◽  
pp. 5557-5572 ◽  
Author(s):  
UMBERTO COTTI ◽  
RICARDO GAITÁN ◽  
A. HERNÁNDEZ-GALEANA ◽  
WILLIAM A. PONCE ◽  
ARNULFO ZEPEDA
Keyword(s):  
Experimental Data ◽  
Gauge Boson ◽  
Generation Mechanism ◽  
Mass Generation ◽  
Neutral Gauge Boson ◽  
Number Violation ◽  
Charged Leptons ◽  
The Masses ◽  
Lepton Family

Lepton family number violation processes arise in the SU(6) L⊗ U(1) Y model due to the presence of an extra neutral gauge boson, Z′, with family changing couplings, and due to the fact that this model demands the existence of heavy exotic leptons. The mixing of the standard Z with Z′ and the mixing of ordinary leptons with exotic ones induce together family changing couplings on the Z and therefore nonvanishing rates for lepton family number violation processes, such as [Formula: see text], [Formula: see text] and μ→eγ. Additional contributions to the processes μ→eγ and [Formula: see text] are induced from the mass generation mechanism. This last type of contributions may compete with the above one, depending on the masses of the scalars which participate in the diagrams which generate radiatively the masses of the charged leptons. Using the experimental data we compute some bounds for the mixings parameters and for the masses of the scalars.

THE NAMBU-JONA-LASINIO MODEL AND GAUGE THEORIES IN 2+1 DIMENSIONS

1991 ◽  
Vol 06 (04) ◽  
pp. 667-694 ◽  
Author(s):  
K.M. COSTA
Keyword(s):  
Gauge Theory ◽  
Invariant Theory ◽  
Gauge Theories ◽  
Leading Order ◽  
Coupling Constant ◽  
Gauge Invariant ◽  
Strongly Coupled ◽  
Njl Model ◽  
Weakly Coupled ◽  
Bare Coupling Constant

The weakly coupled globally invariant Nambu-Jona-Lasino (NJL) model in 2+1 dimensions is shown to be equivalent to a strongly coupled gauge theory. This equivalence is demonstrated for the renormalized theories in the 1/N expansion utilizing an unconventional, cutoff-dependent bare coupling constant to take the limit of weak or strong bare couplings. The weakly coupled Abelian NJL model is renormalized to order 1/N and compared to a renormalized strongly coupled QED3. Next, the U(2) globally invariant NJL model is studied in the broken phase and renormalized to leading order. The resulting U(1)×U(1) gauge-invariant theory is shown to be equivalent to a spontaneously broken U(2) gauge theory analyzed in the 1/N expansion.

scholarly journals CONFINING PHASE IN SUSY SO(12) GAUGE THEORY WITH ONE SPINOR AND SEVERAL VECTORS

1998 ◽  
Vol 13 (17) ◽  
pp. 1361-1370 ◽  
Author(s):  
NOBUHITO MARU
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Explicit Form ◽  
Phase Structure ◽  
Low Energy ◽  
Effective Theory ◽  
Gauge Invariant

We study the confining phase structure of [Formula: see text] supersymmetric SO(12) gauge theory with Nf≤7 vectors and one spinor. The explicit form of low-energy superpotentials for Nf≤7 are derived after gauge-invariant operators relevant in the effective theory are identified via gauge symmetry breaking pattern. The resulting confining phase structure is analogous to Nf≤Nc+1 SUSY QCD. Finally, we conclude with some comments on the search for duals to Nf≥8 SO(12) theory.

Hamiltonian and BRST formulations of a gauge-invariant chiral Schwinger model with the Faddeevian regularization

2002 ◽  
Vol 80 (12) ◽  
pp. 1645-1660 ◽  
Author(s):  
U Kulshreshtha
Keyword(s):  
Invariant Theory ◽  
Special Choice ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Instant Form

The Hamiltonian and BRST formulations of a gauge-invariant chiral Schwinger model with the Faddeevian regularization due to Mukhopadhyay and Mitra in one-space one-time dimensions (obtained by the inclusion of an appropriate Wess–Zumino term in the action of the originally gauge-noninvariant model due to Mitra) are investigated under some specific gauge choices in the usual instant form of dynamics (on the hyperplanes x0= constant). The physical contents of the original gauge-noninvariant theory are recovered from that of this gauge-invariant theory under a special choice of gauge, and the quantum equivalence of the two quantized theories is established.PACS Nos.: 03.65+, 03.70+, 11.10lm, 11.10Ef, and 11.30Rd

scholarly journals BFFT FORMALISM APPLIED TO THE MINIMAL CHIRAL SCHWINGER MODEL

2004 ◽  
Vol 19 (39) ◽  
pp. 2957-2969 ◽  
Author(s):  
C. P. NATIVIDADE ◽  
H. BOSCHI-FILHO ◽  
L. V. BELVEDERE
Keyword(s):  
Gauge Theory ◽  
Gauge Transformation ◽  
Point Of View ◽  
Chiral Model ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Invariant Action ◽  
Invariant Formulation

We consider the minimal chiral Schwinger model, by embedding the gauge non-invariant formulation into a gauge theory following the Batalin–Fradkin–Fradkina–Tyutin point of view. Within the BFFT procedure, the second-class constraints are converted into strongly involutive first-class ones, leading to an extended gauge-invariant formulation. We also show that, like the standard chiral model, in the minimal chiral model the Wess–Zumino action can be obtained by performing a q-number gauge transformation into the effective gauge non-invariant action.

scholarly journals AN EQUIVALENCE OF TWO MASS GENERATION MECHANISMS FOR GAUGE FIELDS

2008 ◽  
Vol 23 (13) ◽  
pp. 1973-1993
Author(s):  
ALEXEY SEVOSTYANOV
Keyword(s):  
Gauge Theories ◽  
Generation Mechanism ◽  
Gauge Fields ◽  
Quantum Field ◽  
Mass Generation ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Abelian Case ◽  
Generation Mechanisms ◽  
Topological Mass

Two mass generation mechanisms for gauge theories are studied. It is proved that in the Abelian case the topological mass generation mechanism introduced in Refs. 4, 12 and 15 is equivalent to the mass generation mechanism defined in Refs. 5 and 20 with the help of "localization" of a nonlocal gauge invariant action. In the non-Abelian case the former mechanism is known to generate a unitary renormalizable quantum field theory, describing a massive vector field.

scholarly journals DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Analogue Model ◽  
Gauge Invariant ◽  
Invariant Functions ◽  
Dimensional Lattice ◽  
Chern Simons ◽  
Dimensional Surface

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).

scholarly journals More on the flavor dependence of mϱ/fπ

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Andrey Yu. Kotov ◽  
Daniel Nogradi ◽  
Kalman K. Szabo ◽  
Lorinc Szikszai
Keyword(s):  
Gauge Theory ◽  
Symmetry Breaking ◽  
Finite Volume ◽  
Continuum Limit ◽  
Low Energy ◽  
Translational Symmetry ◽  
Fundamental Representation ◽  
Staggered Fermions ◽  
Link Type ◽  
Volume Effects

Abstract In previous work, [arXiv:1905.01909], we have calculated the mϱ/fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to Nf = 2, 3, 4, 5, 6 fermions in the fundamental representation. The main result was that this ratio displays no statistically significant Nf-dependence. In the present work we continue the study of the Nf-dependence by extending the simulations to Nf = 7, 8, 9, 10. Along the way we also study in detail the Nf-dependence of finite volume effects on low energy observables and a particular translational symmetry breaking unphysical, lattice artefact phase specific to staggered fermions.

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