scholarly journals Asymptotic freedom in the front-form Hamiltonian for quantum chromodynamics of gluons

2015 ◽  
Vol 92 (6) ◽  
Author(s):  
María Gómez-Rocha ◽  
Stanisław D. Głazek
Keyword(s):  
Quantum Chromodynamics ◽  
Asymptotic Freedom ◽  
Front Form

CONFINEMENT OF QUARKS AND GLUONS II

1995 ◽  
Vol 10 (22) ◽  
pp. 3155-3167 ◽  
Author(s):  
KAZUHIKO NISHIJIMA
Keyword(s):  
Quantum Chromodynamics ◽  
Preceding Paper ◽  
Asymptotic Freedom ◽  
Color Confinement ◽  
The One

It is shown that color confinement is a consequence of BRS invariance and asymptotic freedom of quantum chromodynamics. BRS invariance is exploited to define color confinement, and asymptotic freedom is utilized to prove it. The proof presented in this paper is an extension of the one in the preceding paper.

Asymptotic freedom and the running charge in high-temperature quantum chromodynamics

1989 ◽  
Vol 232 (3) ◽  
pp. 362-366 ◽  
Author(s):  
Sudhir Nadkarni
Keyword(s):  
High Temperature ◽  
Quantum Chromodynamics ◽  
Asymptotic Freedom

Renormalization Group and Color Confinement

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1355-1364 ◽  
Author(s):  
K. Nishijima
Keyword(s):  
Renormalization Group ◽  
Gauge Symmetry ◽  
Quantum Chromodynamics ◽  
Asymptotic Freedom ◽  
Abelian Gauge ◽  
Color Confinement

It is shown that color confinement is an inevitable consequence of an unbroken non-Abelian gauge symmetry and the resulting asymptotic freedom of quantum chromodynamics.

scholarly journals Asymptotic Freedom and Confinement Imply Spontaneously Broken Chiral Symmetry in Quantum Chromodynamics

1997 ◽  
Vol 12 (22) ◽  
pp. 1649-1654
Author(s):  
R. Acharya ◽  
P. Narayana Swamy
Keyword(s):  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Broken Symmetry ◽  
Asymptotic Freedom

We utilize Coleman's theorem and show that quantum chromodynamics based on asymptotic freedom and confinement must have chiral symmetry realized as a spontaneously broken symmetry.

Quantum Chromodynamics

2019 ◽  
pp. 169-186
Author(s):  
Michael E. Peskin
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Quantum Chromodynamics ◽  
Strong Interaction ◽  
Experimental Results ◽  
Asymptotic Freedom ◽  
Field Equations ◽  
Abelian Gauge

This chapter introduces non-Abelian gauge symmetry and the associated field equations for spin-1 particles. It proposes the gauge theory Quantum Chromodynamics as the theory of the strong interaction. It describes the property of asymptotic freedom, which explains a number of mysteries in the experimental results shown in the previous three chapters.

The Existence of Field Theories beyond the Perturbation Expansion

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Quantum Chromodynamics ◽  
Weak Interactions ◽  
Perturbation Expansion ◽  
Parton Model ◽  
Field Theories ◽  
Scattering Data ◽  
Asymptotic Freedom ◽  
Winding Number ◽  
Deep Inelastic Scattering Data ◽  
The Standard Model

The standard model of fundamental interactions. A brief summary of the phenomenology of weak interactions. The construction of the electroweak theory and its experimental consequences. The deep inelastic scattering data as a motivation for quantum chromodynamics. Asymptotic freedom and the parton model. Quantum chromodynamics formulated on a space–time lattice. Non-trivial gauge field configurations and instantons. The meaning of the winding number. The strong CP problem and axions.

Quantum chromodynamics: A non-Abelian gauge theory

2019 ◽  
pp. 209-236
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Quantum Chromodynamics ◽  
Particle Physics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Parallel Transport ◽  
Strong Interactions ◽  
Asymptotic Freedom ◽  
Abelian Gauge ◽  
Lattice Gauge ◽  
Colour Group

Chapter 13 is devoted to some aspects of quantum chromodynamics (QCD), the part of the Standard Model of particle physics responsible for strong interactions and based on an SU(3) gauge symmetry (the colour group) and gluon gauge fields. First, the geometry of non–Abelian gauge theories, based on parallel transport, is recalled. This leads naturally to the construction of lattice gauge theories with link variables and a plaquette action. The lattice model gives a hint of confinement. QCD is quantized in the temporal of Weyl gauge. Its renormalization involves the BRST symmetry. Its renormalization group properties with asymptotic freedom are emphasized. The infinite degeneracy of the semi–classical ground state can be associated to a winding number. Barrier penetration effects, related to the existence of instantons, lead to the existence of theta vacua and the problem of strong CP violation. Other issues considered are chiral symmetry and axial anomaly.

Single particle inclusive leptoproduction in quantum chromodynamics

1982 ◽  
Vol 60 (7) ◽  
pp. 939-949 ◽  
Author(s):  
Bruce A. Campbell
Keyword(s):  
Quantum Chromodynamics ◽  
Single Particle ◽  
Particle Production ◽  
Neutral Current ◽  
Asymptotic Freedom ◽  
Charged Current ◽  
Leading Order ◽  
Production Processes ◽  
Scaling Violations

The effects of scaling violations in current induced single particle inclusive lepto-production reactions is examined in the framework of asymptotic freedom. A set of quark fragmention functions is introduced which approximately satisfies the leading order asymptotic freedom constraints of quantum chromodynamics. These are then used to give a consistent leading order treatment of current induced single particle production processes, in particular: e+e− annihilation, charged current neutrino (antineutrino) reactions, electro (muo) production, and neutral current neutrino reactions. We emphasize the consistency of the different reactions with an asymptotically free parton picture.

Asymptotic freedom for quantum chromodynamics with top yukawa and Higgs interactions

1994 ◽  
Vol 30 (1) ◽  
pp. 61-70 ◽  
Author(s):  
Wolfhart Zimmermann
Keyword(s):  
Quantum Chromodynamics ◽  
Asymptotic Freedom
Sign in / Sign up

Export Citation Format

Share Document