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Title: Chiral symmetry breaking and monopole dynamics in noncompact QED{sub 3} coupled to a four-Fermi interaction

Abstract

We present results from the first lattice simulations of three-dimensional noncompact quantum electrodynamics (QED{sub 3}) with N{sub f} four-component fermion flavors coupled to a weak Z{sub 2} chirally invariant four-fermi interaction. Results with N{sub f{>=}}4 show that the scaling near the strong coupling chiral transition or sharp crossover is determined by the 3d Gross-Neveu ultraviolet-stable renormalization group fixed point. Small deviations of the N{sub f}=4 critical exponents from the respective Gross-Neveu ones, hint at evidence for nonzero fermion mass generated by the gauge fields dynamics that might have been enhanced by the four-fermi coupling. It is also shown that the scaling region is suppressed at weak four-fermi couplings and large N{sub f} values. Measurements of (i) a monopole susceptibility which is the polarizability of the monopole configurations, and (ii) the density of isolated monopoles, imply that for N{sub f{>=}}1 and weak gauge couplings the monopoles do not affect the theory's confining properties, because they are shielded.

Authors:
 [1];  [2];  [3]
  1. Diamond Light Source, Harwell Campus, Didcot, Oxfordshire OX11 0DE (United Kingdom)
  2. Department of Energy, Division of High Energy Physics, Washington, D.C. 20585 (United States) and Department of Physics-TQHN, University of Maryland, 82 Regents Drive, College Park, Maryland 20742 (United States)
  3. Computation-based Science and Technology Research Center, Cyprus Institute, 1645 Nicosia (Cyprus)
Publication Date:
OSTI Identifier:
21410048
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 82; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.82.014503; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; COMPUTERIZED SIMULATION; CONFIGURATION; COUPLING; FERMI INTERACTIONS; FERMIONS; FLAVOR MODEL; GAUGE INVARIANCE; LATTICE FIELD THEORY; MASS; MONOPOLES; POLARIZABILITY; QUANTUM ELECTRODYNAMICS; RENORMALIZATION; STRONG-COUPLING MODEL; SYMMETRY BREAKING; THREE-DIMENSIONAL CALCULATIONS; WEAK-COUPLING MODEL; BASIC INTERACTIONS; COMPOSITE MODELS; CONSTRUCTIVE FIELD THEORY; ELECTRICAL PROPERTIES; ELECTRODYNAMICS; FIELD THEORIES; INTERACTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; NUCLEAR MODELS; PARTICLE MODELS; PARTICLE PROPERTIES; PHYSICAL PROPERTIES; QUANTUM FIELD THEORY; QUARK MODEL; SIMULATION; SYMMETRY; WEAK INTERACTIONS

Citation Formats

Armour, Wesley, Kogut, John B, and Strouthos, Costas. Chiral symmetry breaking and monopole dynamics in noncompact QED{sub 3} coupled to a four-Fermi interaction. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.82.014503.
Armour, Wesley, Kogut, John B, & Strouthos, Costas. Chiral symmetry breaking and monopole dynamics in noncompact QED{sub 3} coupled to a four-Fermi interaction. United States. https://doi.org/10.1103/PHYSREVD.82.014503
Armour, Wesley, Kogut, John B, and Strouthos, Costas. Thu . "Chiral symmetry breaking and monopole dynamics in noncompact QED{sub 3} coupled to a four-Fermi interaction". United States. https://doi.org/10.1103/PHYSREVD.82.014503.
@article{osti_21410048,
title = {Chiral symmetry breaking and monopole dynamics in noncompact QED{sub 3} coupled to a four-Fermi interaction},
author = {Armour, Wesley and Kogut, John B and Strouthos, Costas},
abstractNote = {We present results from the first lattice simulations of three-dimensional noncompact quantum electrodynamics (QED{sub 3}) with N{sub f} four-component fermion flavors coupled to a weak Z{sub 2} chirally invariant four-fermi interaction. Results with N{sub f{>=}}4 show that the scaling near the strong coupling chiral transition or sharp crossover is determined by the 3d Gross-Neveu ultraviolet-stable renormalization group fixed point. Small deviations of the N{sub f}=4 critical exponents from the respective Gross-Neveu ones, hint at evidence for nonzero fermion mass generated by the gauge fields dynamics that might have been enhanced by the four-fermi coupling. It is also shown that the scaling region is suppressed at weak four-fermi couplings and large N{sub f} values. Measurements of (i) a monopole susceptibility which is the polarizability of the monopole configurations, and (ii) the density of isolated monopoles, imply that for N{sub f{>=}}1 and weak gauge couplings the monopoles do not affect the theory's confining properties, because they are shielded.},
doi = {10.1103/PHYSREVD.82.014503},
url = {https://www.osti.gov/biblio/21410048}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 1,
volume = 82,
place = {United States},
year = {2010},
month = {7}
}