Effective Abelian-Higgs Theory from SU(2) gauge field theory
V. Dzhunushaliev, D. Singleton, D. Dhokarh
TL;DR
This paper derives a Ginzburg-Landau-like effective theory from pure SU(2) gauge theory, linking it to the dual superconducting model of color confinement and flux tube solutions.
Contribution
It demonstrates how a GL-like equation with spontaneous symmetry breaking can be obtained directly from SU(2) gauge theory, incorporating ghost field condensation.
Findings
Derivation of a GL-like equation from SU(2) gauge theory
Connection to the dual superconducting model of confinement
Identification of ghost condensation leading to tachyonic mass
Abstract
In the present work we show that it is possible to arrive at a Ginzburg-Landau (GL) like equation from pure SU(2) gauge theory. This has a connection to the dual superconducting model for color confinement where color flux tubes permanently bind quarks into color neutral states. The GL Lagrangian with a spontaneous symmetry breaking potential, has such (Nielsen-Olesen) flux tube solutions. The spontaneous symmetry breaking requires a tachyonic mass for the effective scalar field. Such a tachyonic mass term is obtained from the condensation of ghost fields.
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