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High Energy Physics - Theory

arXiv:hep-th/9802161 (hep-th)
[Submitted on 23 Feb 1998]

Title:The partition function versus boundary conditions and confinement in the Yang-Mills theory

Authors:N.A. Sveshnikov, E.G. Timoshenko
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Abstract: We analyse dependence of the partition function on the boundary condition for the longitudinal component of the electric field strength in gauge field theories. In a physical gauge the Gauss law constraint may be resolved explicitly expressing this component via an integral of the physical transversal variables. In particular, we study quantum electrodynamics with an external charge and SU(2) gluodynamics. We find that only a charge distribution slowly decreasing at spatial infinity can produce a nontrivial dependence in the Abelian theory. However, in gluodynamics for temperatures below some critical value the partition function acquires a delta-function like dependence on the boundary condition, which leads to colour confinement.
Comments: 14 pages, RevTeX, submitted to Phys. Rev. D
Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-th/9802161
  (or arXiv:hep-th/9802161v1 for this version)
  https://doi.org/10.48550/arXiv.hep-th/9802161
Journal reference: Phys.Rev. D58 (1998) 085024
Related DOI: https://doi.org/10.1103/PhysRevD.58.085024

Submission history

From: Edward G. Timoshenko [view email]
[v1] Mon, 23 Feb 1998 19:57:18 UTC (14 KB)
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