A Closer Look at Gluons

Abstract

Gluons are strong interaction gauge fields which interact between quarks, i.e. constituents of baryons and mesons. Interaction of matters is phenomenologically described by gauge theory of strong, electromagnetic, weak and gravitational interactions. In electro-weak theory, left handed leptons $l_L$ and neutrino ${\nu }_L$, right handed leptons $l_R$ and left handed quarks $u_L,d_L$ and right handed quarks $u_R,d_R$ follow $SU(2)\times U(1)$ symmetry. Charge of leptons and quarks define hypercharge $Y$, and via Higgs mechanism $SU(2{)}_L\times U(1{)}_Y$ symmetry forms $U(1{)}_{em}$ symmetry. In order to describe Hadron dynamics properly, embedding of 4-dimensional space to 5-dimensional space was tried in lattice simulations, and in light front holographic QCD (LFHQCD) approach in which conformally symmetric light-front dynamics without ghost are embedded in $Ad{S}_5$, and a parameter that fixes a mass scale was chosen from the Principle of Maximum Conformality. Coulomb or Landau gauge fixed Faddeev-Popov Yang-Mills field equation is known to have the Gribov ambiguity, and tunneling between vacua between different topological structures was proposed by van Baal and collaborators. The symmetry of three colors can be assigned three vectors of quaternion $\mathbf{H}$, whose multiplication on $2\times 2$ matrices of Dirac spinors on ${\mathbf{S}}^3$ induces transformations. Instantons or sphalerons whose presence is expected from conformal equivalence of ${\mathbf{S}}^3\times \mathbf{R}$ to ${\mathbf{R}}^4$ are reviewed. An extension of the dynamics embedded in complex projective space is also discussed.

arXiv comment26 pages

References in corpus (24)

• The Spectral Action Principle
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• A Unified Picture for Single Transverse-Spin Asymmetries in Hard Processes
• Systematic Scale-Setting to All Orders: The Principle of Maximum Conformality and Commensurate Scale Relations
• Novel Six-Quark Hidden-Color Dibaryon States in QCD
• Baryon Spectrum from Superconformal Quantum Mechanics and its Light-Front Holographic Embedding
• Superconformal Baryon-Meson Symmetry and Light-Front Holographic QCD
• Lorentz Symmetry and the Internal Structure of the Nucleon
• Infrared Features of the Landau Gauge QCD
• Algorithmic derivation of Dyson-Schwinger Equations
• What the Gribov copy tells on the confinment and the theory of dynamical chiral symmetry breaking
• BRST Cohomology and Physical Space of the GZ Model
• A Gauge-Fixing Action for Lattice Gauge Theories
• Sphalerons and Other Saddles from Cooling
• Infrared features of KS fermion and Wilson fermion in Lattice Landau Gauge QCD
• Zooming-in on the SU(2) fundamental domain
• Adjoint fermion zero-modes for SU(N) calorons
• Non-perturbative analysis of the Gribov-Zwanziger action
• The gluon and charm content of the deuteron
• The Landau gauge lattice QCD simulation and the gluon propagator
• A test of the Kugo-Ojima confinement criterion by lattice Landau gauge QCD simulations
• Non-perturbative analysis, Gribov horizons and the boundary of the fundamental domain
• Color Confinement and Supersymmetric Properties of Hadron Physics from Light-Front Holography
• Numerical tests of the Kugo-Ojima color confinement criterion

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