Non-compact QED_3 with N_f >=2
S.J. Hands, J.B. Kogut, C.G. Strouthos
TL;DR
This study uses lattice simulations to investigate chiral symmetry breaking in non-compact QED_3 with N_f>=2, finding no clear evidence of symmetry breaking and providing bounds on the chiral condensate.
Contribution
First comprehensive lattice simulation of non-compact QED_3 for N_f>=2 analyzing chiral symmetry breaking with detailed finite volume and discretisation effects.
Findings
No decisive signal for chiral symmetry breaking for N_f>=2
Bound on the chiral condensate for N_f=2: beta^2<psibarpsi> <= 5x10^-5
Exploratory analysis of fractionally-charged Polyakov line
Abstract
Non-compact three-dimensional QED is studied by computer simulations to understand its chiral symmetry breaking features for N_f>=2, on lattice volumes up to 50^3 and bare masses as low as ma=0.0000625. We compute the chiral condensate, scalar and pseudoscalar susceptibilities, and the masses of scalar and pseudoscalar mesons. Finite volume effects and discretisation artifacts are carefully monitored. Our results reveal no decisive signal for chiral symmetry breaking for any N_f>=2. For N_f=2 the dimensionless condensate can be bounded by beta^2<psibarpsi> <= 5x10^-5. We also present an exploratory study of the fractionally-charged Polyakov line.
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