Excited single-particle states of the transfer matrix of the gauge lattice Yang-Mills field with gauge group U(1)

1988 ◽  
Vol 74 (2) ◽  
pp. 142-145
Author(s):  
E. A. Zhizhina
Keyword(s):  
Gauge Group ◽  
Transfer Matrix ◽  
Single Particle ◽  
Yang Mills ◽  
Mills Field

YANG-MILLS FIELD QUANTIZATION WITH NON-COMPACT GAUGE GROUP

1992 ◽  
Vol 07 (29) ◽  
pp. 2747-2752 ◽  
Author(s):  
A. E. MARGOLIN ◽  
V. I. STRAZHEV
Keyword(s):  
State Space ◽  
Gauge Group ◽  
Physical State ◽  
Indefinite Metric ◽  
Yang Mills ◽  
S Matrix ◽  
Field Quantization ◽  
Compact Gauge Group ◽  
Mills Field

Yang-Mills field quantization in BRST-formalism with non-compact semi-simple gauge group is performed. The S-matrix unitarity in the physical state space, having indefinite metric is determined.

scholarly journals EFFECTIVE 't HOOFT–POLYAKOV MONOPOLES FROM PURE SU(3) GAUGE THEORY

2003 ◽  
Vol 18 (40) ◽  
pp. 2873-2886 ◽  
Author(s):  
VLADIMIR DZHUNUSHALIEV ◽  
DOUGLAS SINGLETON
Keyword(s):  
Gauge Theory ◽  
Gauge Group ◽  
Degrees Of Freedom ◽  
Scalar Fields ◽  
Finite Energy ◽  
Gauge Fields ◽  
Yang Mills ◽  
Pure Gauge Theory ◽  
Energy Configurations ◽  
Mills Field

The well-known topological monopoles originally investigated by 't Hooft and Polyakov are known to arise in classical Yang–Mills–Higgs theory. With a pure gauge theory, it is known that the classical Yang–Mills field equation do not have such finite energy configurations. Here we argue that such configurations may arise in a semi-quantized Yang–Mills theory, where the original gauge group, SU(3), is reduced to a smaller gauge group, SU(2), and with some combination of the coset fields of the SU(3) to SU(2) reduction acting as effective scalar fields. The procedure is called semi-quantized since some of the original gauge fields are treated as quantum degrees of freedom, while others are postulated to be effectively described as classical degrees of freedom. Some speculation is offer on a possible connection between these monopole configurations and the confinement problem, and the nucleon spin puzzle.

Existence of Charged States of the Yang‐Mills Field

1970 ◽  
Vol 11 (11) ◽  
pp. 3258-3274 ◽  
Author(s):  
Hendricus G. Loos
Keyword(s):  
Yang Mills ◽  
Mills Field

scholarly journals EXTENSION OF THE POINCARÉ GROUP AND NON-ABELIAN TENSOR GAUGE FIELDS

2010 ◽  
Vol 25 (31) ◽  
pp. 5765-5785 ◽  
Author(s):  
GEORGE SAVVIDY
Keyword(s):  
Gauge Group ◽  
Gauge Transformation ◽  
Space Time ◽  
Gauge Fields ◽  
Poincaré Group ◽  
Matrix Representations ◽  
Poincare Group ◽  
Yang Mills ◽  
The Matrix ◽  
Transversal Plane

In the recently proposed generalization of the Yang–Mills theory, the group of gauge transformation gets essentially enlarged. This enlargement involves a mixture of the internal and space–time symmetries. The resulting group is an extension of the Poincaré group with infinitely many generators which carry internal and space–time indices. The matrix representations of the extended Poincaré generators are expressible in terms of Pauli–Lubanski vector in one case and in terms of its invariant derivative in another. In the later case the generators of the gauge group are transversal to the momentum and are projecting the non-Abelian tensor gauge fields into the transversal plane, keeping only their positively definite spacelike components.

scholarly journals Generalization of the Stueckelberg Formalism to the Massive Yang-Mills Field

1967 ◽  
Vol 37 (2) ◽  
pp. 452-464 ◽  
Author(s):  
T\=osaku Kunimasa ◽  
Tetsuo Got\=o
Keyword(s):  
Yang Mills ◽  
Stueckelberg Formalism ◽  
Mills Field
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