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String tension and Chern-Simons fluctuations in the vortex vacuum ofd=3 gauge theory

1995/11/02 by John M. Cornwall, Bryce Yan
Physics and Astronomy · #Black Holes and Theoretical Physics #Chern–Simons theory #Classical mechanics #Gauge boson #Gauge theory #Mathematical physics #Mechanics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #String (physics) #String field theory #Theoretical physics #Vortex #hep-th

paper · pdf · doi:10.1103/physrevd.53.4638

published as Phys.Rev. D53 (1996) 4638-4649 · Latex, 35 pages, 2 .eps figures in a uuencoded file

arxiv created 1995/11/02 · openalex publication_date 1996/04/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Based on a model of the d=3 SU(2) pure gauge theory vacuum as a monopole-vortex condensate, we give a quantitative (if model-dependent) estimate of the relation between the string tension and a gauge-invariant measure of the Chern-Simons susceptibility, due to vortex linkages, in the absence of a Chern-Simons term in the action. We also give relations among these quantities and the vacuum energy and gauge-boson mass. Both the susceptibility and the string tension come from the same physics: the topology of linking, twisting, and writhing of closed vortex strings. The closed vortex string is described via a complex scalar field theory whose action has a precisely specified functional form, inferred from previous work giving the exact form of a gauge-theory effective potential at low momentum. Applications to high-T phenomena, including B+L anomalous violation, are mentioned. \textcopyright 1996 The American Physical Society.

Citations