An investigation on Cho Abelian decomposition of generalized one monopole

2013 ◽  
Author(s):  
Khai-Ming Wong ◽  
Amin Soltanian ◽  
Rosy Teh
Keyword(s):  
Abelian Decomposition

scholarly journals NUCLEON SPIN IN QCD: OLD CRISIS AND NEW RESOLUTION

2012 ◽  
Vol 27 (31) ◽  
pp. 1230032 ◽  
Author(s):  
Y. M. CHO ◽  
MO-LIN GE ◽  
PENGMING ZHANG
Keyword(s):  
Angular Momentum ◽  
Gauge Invariance ◽  
Nucleon Spin ◽  
Gauge Invariant ◽  
Abelian Decomposition ◽  
Invariance Problem

We clarify the on-going confusion on the long-standing gauge invariance problem of the nucleon spin decomposition to the spin and angular momentum of quarks and gluons. We provide two gauge-invariant decompositions of nucleon spin which have different physical meanings, using the gauge independent Abelian decomposition. The first one is based on the assumption that all (binding and valence) gluons contribute to the nucleon spin, but the second one is based on the assumption that only the binding gluons (and the quarks) contribute to it.

DECOMPOSITION OF THE SEMI-SIMPLE GROUP CONNECTION AND COSMIC STRINGS IN THE LORENTZ SPACETIME

2004 ◽  
Vol 19 (10) ◽  
pp. 745-753 ◽  
Author(s):  
PENG-MING ZHANG ◽  
YI-SHI DUAN ◽  
JI-RONG REN
Keyword(s):  
Gauge Theory ◽  
Simple Group ◽  
Cosmic String ◽  
Decomposition Method ◽  
Cosmic Strings ◽  
Semisimple Group ◽  
Gauge Fields ◽  
Yang Mills ◽  
Abelian Decomposition ◽  
Weyl Basis

In a previous paper, we addressed the method of Abelian decomposition to the case of SU (N) Yang–Mills theory. Here, we extend the decomposition method further to the general case. With the Cartan–Weyl basis we decompose semisimple group connection and discuss the SO(3,1) group in particular. In terms of the vierbein projection, we propose two two-forms as the U(1) gauge fields in the SO(3,1) gauge theory and show that these two-forms are just the different cosmic string tensors. Meanwhile, these two-forms indicate that the cosmic strings appear naturally in the Lorentz spacetime, i.e. the torsion in the Riemann–Cartan spacetime is not necessary for the cosmic strings.

scholarly journals ABELIAN DECOMPOSITION OF GENERAL RELATIVITY

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3327-3341 ◽  
Author(s):  
Y. M. CHO
Keyword(s):  
General Relativity ◽  
Gauge Theory ◽  
Quantum Gravity ◽  
Lorentz Group ◽  
Lorentz Invariance ◽  
Gauge Potential ◽  
Abelian Decomposition ◽  
Gravitational Source ◽  
Einstein’S General Relativity ◽  
Local Lorentz Invariance

We present an Abelian decomposition of Einstein's general relativity, viewing Einstein's theory as a gauge theory of Lorentz group and identifying the gravitational connection as the gauge potential of Lorentz group. The decomposition confirms the existence of the restricted gravity which is much simpler than Einstein's theory but which has the full local Lorentz invariance (and thus the full general invariance). Moreover, it tells that Einstein's theory can be viewed as the restricted gravity which has the Lorentz covariant valence connection as the gravitational source. With the Abelian decomposition we show how to construct all possible vacuum gravitational connections, which can be classified by the knot topology π3(S3) = π3(S2). We discuss the physical implications of our result in quantum gravity.

scholarly journals The static quark potential from the gauge independent Abelian decomposition

2015 ◽  
Vol 895 ◽  
pp. 64-131 ◽  
Author(s):  
Nigel Cundy ◽  
Y.M. Cho ◽  
Weonjong Lee ◽  
Jaehoon Leem
Keyword(s):  
Abelian Decomposition ◽  
Quark Potential ◽  
Static Quark

Abelian decomposition of Einstein’s theory: Restricted gravity

2015 ◽  
Vol 21 (4) ◽  
pp. 257-269
Author(s):  
Y. M. Cho ◽  
S. H. Oh ◽  
B. S. Park
Keyword(s):  
Abelian Decomposition

scholarly journals The static quark potential from the gauge invariant Abelian decomposition

2014 ◽  
Vol 729 ◽  
pp. 192-198 ◽  
Author(s):  
Nigel Cundy ◽  
Y.M. Cho ◽  
Weonjong Lee ◽  
Jaehoon Leem
Keyword(s):  
Gauge Invariant ◽  
Abelian Decomposition ◽  
Quark Potential ◽  
Static Quark

ANATOMY OF EINSTEIN'S THEORY: ABELIAN DECOMPOSITION OF GENERAL RELATIVITY

2012 ◽  
Vol 07 ◽  
pp. 116-147 ◽  
Author(s):  
Y. M. CHO
Keyword(s):  
Gauge Theory ◽  
Lorentz Group ◽  
Degrees Of Freedom ◽  
Gauge Potential ◽  
Abelian Gauge ◽  
Maximal Abelian Subgroup ◽  
Metric Tensor ◽  
Lorentz Gauge ◽  
Abelian Decomposition

Treating Einstein's theory as a gauge theory of Lorentz group, we decompose the gravitational connection (the gauge potential of Lorentz group) Γμ into the restricted connection of the maximal Abelian subgroup of Lorentz group and the valence connection which transforms covariantly under Lorentz gauge transformation. With this decomposition we show that the Einstein's theory can be decomposed into the restricted part made of the restricted connection which has the full Lorentz gauge invariance and the valence part made of the valence connection which plays the role of gravitational source of the restricted gravity. We show that there are two different Abelian decomposition of Einstein's theory, the light-like (or null) decomposition and the non light-like (or non-null) decomposition. In this decomposition the role of the metric gμν is replaced by a four-index metric tensor gμν which transforms covariantly under the Lorentz group, and the metric-compatibility condition ∇αgμν = 0 of the connection is replaced by the gauge and generally covariant condition [Formula: see text]. The decomposition shows the existence of a restricted theory of gravitation which has the full general invariance but is much simpler and has less physical degrees of freedom than Einstein's theory. Moreover, it tells that the restricted gravity can be written as an Abelian gauge theory, which implies that the graviton can be described by a massless spin-one field.

scholarly journals Two Types of Jets and Quark and Chromon Model in QCD

Universe ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 62
Author(s):  
Yongmin Cho
Keyword(s):  
Gauge Symmetry ◽  
Gauge Field ◽  
Quark Model ◽  
Feynman Diagram ◽  
Reflection Symmetry ◽  
Abelian Decomposition

We discuss the importance of the color reflection symmetry of the Abelian decomposition in QCD. The Abelian decomposition breaks up the color gauge field to three parts, the neuron, chromon, and the topological monopole, gauge independently. Moreover, it refines the Feynman diagram in such a way that the conservation of color is explicit. This leads us to generalize the quark model to the quark and chromon model. We show how the Abelian decomposition reduces the non-Abelian color gauge symmetry to the simple discrete 24 element color reflection symmetry which assumes the role of the color gauge symmetry and plays the central role in the quark and chromon model.

scholarly journals Abelian Decomposition and Monopole Condensation in QCD

2018 ◽  
Vol 182 ◽  
pp. 02029
Author(s):  
Y.M. Cho
Keyword(s):  
Effective Potential ◽  
Feynman Diagram ◽  
Abelian Decomposition ◽  
Perturbative Regime

We demonstrate the monopole condensation in QCD using the Abelian decomposition. The Abelian decomposition decomposes the gluons to the color neutral binding gluons (the neurons and the monopoles) and the colored valence gluons (the chromons), and shows that QCD can be viewed as the restricted QCD (RCD) made of the binding gluons which has the chromons as colored source. This simplifies the QCD dynamics greatly. In the perturbative regime this decomposes the gluon propagater to the neuron propagaters and the chromon propagaters, and simplifies the Feynman diagram. In the non-perturbative regime this allows us to calculate the QCD effective potential gauge independently, and demonstrate the monopole condensation unambiguously.

Sign in / Sign up

Export Citation Format

Share Document