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Title: Plaquette average and Schwinger-Dyson equation of a Wilson loop in SU(2) lattice gauge theory

Abstract

The Schwinger-Dyson equation of a Wilson loop is employed to develop an analytic approach in lattice gauge theory. The phase structure of the SU(2) gauge system is studied, and it is shown that there is no evidence of a phase transition in the four-dimensional case, while there is a deconfinement phase transition in the five-dimensional case.

Authors:
; ;
Publication Date:
Research Org.:
Theoretical Physics Centre, CCAST (World Lab) and Institute of High Energy Physics, Academia Sinica, P. O. Box 918, Beijing, China
OSTI Identifier:
5711329
Resource Type:
Journal Article
Journal Name:
Phys. Rev. D; (United States)
Additional Journal Information:
Journal Volume: 36:10
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; SU-2 GROUPS; WILSON LOOP; DIFFERENTIAL EQUATIONS; DYSON REPRESENTATION; FOUR-DIMENSIONAL CALCULATIONS; FREE ENERGY; GAUGE INVARIANCE; PARTITION FUNCTIONS; PHASE TRANSFORMATIONS; BOSON EXPANSION; ENERGY; EQUATIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; PHYSICAL PROPERTIES; QUANTUM FIELD THEORY; SU GROUPS; SYMMETRY GROUPS; THERMODYNAMIC PROPERTIES; 645400* - High Energy Physics- Field Theory; 645300 - High Energy Physics- Particle Invariance Principles & Symmetries

Citation Formats

Xue, S, Hsien, T, and Wu, C. Plaquette average and Schwinger-Dyson equation of a Wilson loop in SU(2) lattice gauge theory. United States: N. p., 1987. Web. doi:10.1103/PhysRevD.36.3203.
Xue, S, Hsien, T, & Wu, C. Plaquette average and Schwinger-Dyson equation of a Wilson loop in SU(2) lattice gauge theory. United States. https://doi.org/10.1103/PhysRevD.36.3203
Xue, S, Hsien, T, and Wu, C. 1987. "Plaquette average and Schwinger-Dyson equation of a Wilson loop in SU(2) lattice gauge theory". United States. https://doi.org/10.1103/PhysRevD.36.3203.
@article{osti_5711329,
title = {Plaquette average and Schwinger-Dyson equation of a Wilson loop in SU(2) lattice gauge theory},
author = {Xue, S and Hsien, T and Wu, C},
abstractNote = {The Schwinger-Dyson equation of a Wilson loop is employed to develop an analytic approach in lattice gauge theory. The phase structure of the SU(2) gauge system is studied, and it is shown that there is no evidence of a phase transition in the four-dimensional case, while there is a deconfinement phase transition in the five-dimensional case.},
doi = {10.1103/PhysRevD.36.3203},
url = {https://www.osti.gov/biblio/5711329}, journal = {Phys. Rev. D; (United States)},
number = ,
volume = 36:10,
place = {United States},
year = {Sun Nov 15 00:00:00 EST 1987},
month = {Sun Nov 15 00:00:00 EST 1987}
}