Title

Spectroscopy, equation of state and monopole percolation in lattice QED with two flavors

Abstract

Non-compact lattice QED with two flavors of light dynamical quarks is simulated on 164 lattices, and the chiral condensate, monopole density and susceptibility and the meson masses are measured. Data from relatively high statistics runs at relatively small bare fermion masses of 0.005, 0.01, 0.02 and 0.03 (lattice units) are presented. Three independent methods of data analysis indicate that the critical point occurs at β = 0.225 (5) and that the monopole condensation and chiral symmetry breaking transitions are coincident. The monopole condensation data satisfies finite-size scaling hypotheses with critical indices compatible with four-dimensional percolation. The best chiral equation of state fit produces critical exponents (δ = 2.31, βmag = 0.763) which deviate significantly from mean field expectations. Data for the ratio of the sigma to pion masses produces an estimate of the critical index δ in good agreement with chiral condensate measurements. In the strong coupling phase the ratio of the meson masses are Mσ2/Mρ{variant}2 ≈ 0.35, MA12/Mρ{variant}2 ≈ 1.4 nd Mπ2/Mρ{variant}2 ≈ 0.0, while on the weak coupling side of the transition Mπ2/Mρ{variant}2 ≈ 1.0, MA12/Mρ{variant}2 ≈ 1.0, indicating the restoration of chiral symmetry. © 1994.

Publication Date

1-31-1994

Publication Title

Nuclear Physics, Section B

Volume

413

Issue

1-2

Number of Pages

503-534

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0550-3213(94)90630-0

Socpus ID

4243741922 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/4243741922

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