scholarly journals Gluon spin, canonical momentum, and gauge symmetry

2012 ◽  
Vol 2012 (8) ◽  
Author(s):  
Xiangdong Ji ◽  
Yang Xu ◽  
Yong Zhao
Keyword(s):  
Gauge Symmetry ◽  
Canonical Momentum ◽  
Gluon Spin

scholarly journals Strong interaction model in DFR noncommutative space–time

2017 ◽  
Vol 32 (17) ◽  
pp. 1750099 ◽  
Author(s):  
Everton M. C. Abreu ◽  
Mario Junior Neves
Keyword(s):  
Gauge Symmetry ◽  
Strong Interaction ◽  
Extra Dimension ◽  
Interaction Model ◽  
New Physics ◽  
Space Time ◽  
Noncommutative Space ◽  
Abelian Gauge ◽  
Canonical Momentum ◽  
Extended Space

The Doplicher–Fredenhagen–Roberts (DFR) framework for noncommutative (NC) space–times is considered as an alternative approach to describe the physics of quantum gravity, for instance. In this formalism, the NC parameter, i.e. [Formula: see text], is promoted to a coordinate of a new extended space–time. Consequently, we have field theory in a space–time with spatial extra-dimensions. This new coordinate has a canonical momentum associated, where the effects of a new physics can emerge in the fields propagation along the extra-dimension. In this paper, we introduce the gauge invariance in the DFR NC space–time by the composite symmetry [Formula: see text]. We present the non-Abelian gauge symmetry in DFR formalism and the consequences of this symmetry in the presence of such extra-dimension. The gauge symmetry in this DFR scenario can reveal new gauge fields attached to [Formula: see text]-extra-dimension. As application, we construct a unification of Strong Interaction with the electromagnetism and a Higgs model to give masses to the NC bosons. We estimate their masses by using some experimental constraints of QCD.

V A Fock and gauge symmetry

2010 ◽  
Vol 180 (8) ◽  
pp. 871 ◽  
Author(s):  
Lev B. Okun
Keyword(s):  
Gauge Symmetry

scholarly journals Dynamical rearrangement of gauge symmetry on the orbifold S1/Z2

2003 ◽  
Vol 657 ◽  
pp. 169-213 ◽  
Author(s):  
Naoyuki Haba ◽  
Masatomi Harada ◽  
Yutaka Hosotani ◽  
Yoshiharu Kawamura
Keyword(s):  
Gauge Symmetry

scholarly journals Many-body Majorana-like zero modes without gauge symmetry breaking

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
V. Vadimov ◽  
T. Hyart ◽  
J. L. Lado ◽  
M. Möttönen ◽  
T. Ala-Nissila
Keyword(s):  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Many Body ◽  
Zero Modes

scholarly journals Gluon spin in a quark model

1998 ◽  
Vol 431 (3-4) ◽  
pp. 405-409 ◽  
Author(s):  
V. Barone ◽  
T. Calarco ◽  
A. Drago
Keyword(s):  
Quark Model ◽  
Gluon Spin

scholarly journals Construction and Characterization of Representations of SU(7) for GUT Model Builders

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1044
Author(s):  
Daniel Jones ◽  
Jeffery A. Secrest
Keyword(s):  
Gauge Symmetry ◽  
Symmetry Group ◽  
Lie Group ◽  
Cartan Subalgebra ◽  
Natural Extension ◽  
Grand Unification ◽  
Raising And Lowering Operators ◽  
Higher Dimensional ◽  
Lowering Operators

The natural extension to the SU(5) Georgi-Glashow grand unification model is to enlarge the gauge symmetry group. In this work, the SU(7) symmetry group is examined. The Cartan subalgebra is determined along with their commutation relations. The associated roots and weights of the SU(7) algebra are derived and discussed. The raising and lowering operators are explicitly constructed and presented. Higher dimensional representations are developed by graphical as well as tensorial methods. Applications of the SU(7) Lie group to supersymmetric grand unification as well as applications are discussed.

scholarly journals A Brief Review of Implicit Regularization and Its Connection with the BPHZ Theorem

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 956
Author(s):  
Dafne Carolina Arias-Perdomo ◽  
Adriano Cherchiglia ◽  
Brigitte Hiller ◽  
Marcos Sampaio
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Symmetry ◽  
Particle Physics ◽  
Analytic Extension ◽  
Quantum Field ◽  
Loop Order ◽  
Time Dimension ◽  
The Core ◽  
Striking Success

Quantum Field Theory, as the keystone of particle physics, has offered great insights into deciphering the core of Nature. Despite its striking success, by adhering to local interactions, Quantum Field Theory suffers from the appearance of divergent quantities in intermediary steps of the calculation, which encompasses the need for some regularization/renormalization prescription. As an alternative to traditional methods, based on the analytic extension of space–time dimension, frameworks that stay in the physical dimension have emerged; Implicit Regularization is one among them. We briefly review the method, aiming to illustrate how Implicit Regularization complies with the BPHZ theorem, which implies that it respects unitarity and locality to arbitrary loop order. We also pedagogically discuss how the method complies with gauge symmetry using one- and two-loop examples in QED and QCD.

scholarly journals Electroweak-like baryogenesis with new chiral matter

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Kohei Fujikura ◽  
Keisuke Harigaya ◽  
Yuichiro Nakai ◽  
Ruoquan Wang
Keyword(s):  
Phase Transition ◽  
Gauge Symmetry ◽  
Cp Violation ◽  
Standard Model ◽  
Dipole Moments ◽  
Dark Matter Candidate ◽  
Lepton Asymmetry ◽  
First Order ◽  
The Standard Model ◽  
Concrete Realization

Abstract We propose a framework where a phase transition associated with a gauge symmetry breaking that occurs (not far) above the electroweak scale sets a stage for baryogenesis similar to the electroweak baryogenesis in the Standard Model. A concrete realization utilizes the breaking of SU(2)R× U(1)X→ U(1)Y. New chiral fermions charged under the extended gauge symmetry have nonzero lepton numbers, which makes the B − L symmetry anomalous. The new lepton sector contains a large flavor-dependent CP violation, similar to the Cabibbo-Kobayashi-Maskawa phase, without inducing sizable electric dipole moments of the Standard Model particles. A bubble wall dynamics associated with the first-order phase transition and SU(2)R sphaleron processes generate a lepton asymmetry, which is transferred into a baryon asymmetry via the ordinary electroweak sphaleron process. Unlike the Standard Model electroweak baryogenesis, the new phase transition can be of the strong first order and the new CP violation is not significantly suppressed by Yukawa couplings, so that the observed asymmetry can be produced. The model can be probed by collider searches for new particles and the observation of gravitational waves. One of the new leptons becomes a dark matter candidate. The model can be also embedded into a left-right symmetric theory to solve the strong CP problem.

scholarly journals ANOMALOUS U(1)A AND ELECTROWEAK SYMMETRY BREAKING

2001 ◽  
Vol 16 (13) ◽  
pp. 835-844
Author(s):  
ILIA GOGOLADZE ◽  
MIRIAN TSULAIA
Keyword(s):  
Gauge Symmetry ◽  
Standard Model ◽  
Symmetry Breaking ◽  
Supersymmetric Standard Model ◽  
Electroweak Symmetry Breaking ◽  
Electroweak Symmetry ◽  
Superstring Theory

We suggest a new mechanism for electroweak symmetry breaking in the supersymmetric Standard Model. Our suggestion is based on the presence of an anomalous U (1)A gauge symmetry, which naturally arises in the four-dimensional superstring theory, and heavily relies on the value of the corresponding Fayet–Illiopoulos ξ-term.

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