Chiral transition and monopole percolation in lattice scalar QED with quenched fermions

Abstract

We study the interplay between topological observables and chiral and Higgs transitions in lattice scalar QED with quenched fermions. Emphasis is put on the chiral transition line and magnetic monopole percolation at strong gauge coupling. We confirm that at infinite gauge coupling the chiral transition is described by mean field exponents. We find a rich and complicated behaviour at the endpoint of the Higgs transition line which hampers a satisfactory analysis of the chiral transition. We study in detail an intermediate coupling, where the data are consistent both with a trivial chiral transition clearly separated from monopole percolation and with a chiral transition coincident with monopole percolation, and characterized by the same critical exponent $\nu \simeq 0.65$. We discuss the relevance (or lack thereof) of these quenched results to our understanding of the \chupiv\ model. We comment on the interplay of magnetic monopoles and fermion dynamics in more general contexts.

29 pages, 13 figures included, LaTeX2e (elsart)

References in corpus (5)

• Gauge-ball spectrum of the four-dimensional pure U(1) gauge theory
• Monopole Percolation in the Compact Abelian Higgs Model
• Strongly coupled compact lattice QED with staggered fermions
• Dynamical fermion mass generation at a tricritical point in strongly coupled U(1) lattice gauge theory
• Monopole percolation in scalar QED

Cited by in corpus (6)

• Monopole Percolation in the Compact Abelian Higgs Model
• Dynamical fermion mass generation at a tricritical point in strongly coupled U(1) lattice gauge theory
• Nambu monopoles in lattice Electroweak theory
• On the fermionic signature of the lattice monopoles
• Modified Abelian and SU(2) Wilson theories on a lattice from a non-compact regularization
• On the Universality Class of Monopole Percolation in Scalar QED