Critical flavor number in the three dimensional Thirring model

Journal Article · Tue May 15 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.101701· OSTI ID:20933282

Christofi, Stavros ^[1]; Hands, Simon ^[2]; Strouthos, Costas ^[3]

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1. Frederick Institute of Technology, CY-1303 Nicosia (Cyprus)
2. Department of Physics, Swansea University, Singleton Park, Swansea SA2 8PP (United Kingdom)
3. Institute of Chemical Sciences and Engineering, Ecole Polytechnique Federale de Lausanne, 1015 Lausanne (Switzerland)

We present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N{sub f} varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are performed at couplings g{sup 2}(N{sub f}) corresponding to the strong coupling limit of the continuum theory. The chiral symmetry restoring phase transition is studied as N{sub f} is increased, and the critical number of flavors estimated as N{sub fc}=6.6(1). The critical exponents measured at the transition do not agree with self-consistent solutions of the Schwinger-Dyson equations; in particular, there is no evidence for the transition being of infinite order. Implications for the critical flavor number in QED{sub 3} are briefly discussed.

• OSTI ID: 20933282
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CHIRALITY
COMPUTERIZED SIMULATION
EQUATIONS
FERMIONS
FLAVOR MODEL
MATHEMATICAL SOLUTIONS
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
STRONG-COUPLING MODEL
THIRRING MODEL
THREE-DIMENSIONAL CALCULATIONS