Solution to the gauge-Higgs analyticity paradox
High Energy Physics - Lattice
2015-02-17 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
The Fradkin-Shenker theorem proves analyticity in a region that connects Higgs to confinement regimes, precluding a phase transition. This conflicts with a simpler analyticity argument applicable to any symmetry-breaking phase transition that requires the phase diagram to be bifurcated. A flaw in the Fradkin-Shenker and related Osterwalder-Seiler proofs is found which removes this paradox. Higgs and Confinement regions are everywhere separated by a phase boundary. A new order parameter allowing this transition to be traced with Monte-Carlo simulations without gauge fixing is introduced.
Keywords
Cite
@article{arxiv.1502.04362,
title = {Solution to the gauge-Higgs analyticity paradox},
author = {Michael Grady},
journal= {arXiv preprint arXiv:1502.04362},
year = {2015}
}
Comments
10 pages, 2 figures, LaTex