scholarly journals Abelian decomposition of SO(2N) Yang-Mills theory

2001 ◽  
Vol 20 (4) ◽  
pp. 717-721 ◽  
Author(s):  
W.-C. Su
Keyword(s):  
Yang Mills ◽  
Abelian Decomposition

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 Sp(2N) Yang–Mills theory

2001 ◽  
Vol 499 (3-4) ◽  
pp. 275-279
Author(s):  
Wang-Chang Su
Keyword(s):  
Yang Mills ◽  
Abelian Decomposition

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

scholarly journals Wave packet dynamics in Yang-Mills theory

1995 ◽  
Vol 52 (4) ◽  
pp. 2402-2411 ◽  
Author(s):  
C. R. Hu ◽  
S. G. Matinyan ◽  
B. Müller ◽  
A. Trayanov ◽  
T. M. Gould ◽  
...  
Keyword(s):  
Wave Packet ◽  
Yang Mills ◽  
Wave Packet Dynamics
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