Critical flavor number in the three dimensional Thirring model

被引:51
作者
Christofi, Stavros [1 ]
Hands, Simon
Strouthos, Costas
机构
[1] Frederick Inst Technol, CY-1303 Nicosia, Cyprus
[2] Univ Coll Swansea, Dept Phys, Swansea SA2 8PP, W Glam, Wales
[3] Ecole Polytech Fed Lausanne, Inst Chem Sci & Engn, CH-1015 Lausanne, Switzerland
来源
PHYSICAL REVIEW D | 2007年 / 75卷 / 10期
关键词
D O I
10.1103/PhysRevD.75.101701
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N-f varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are performed at couplings g(2)(N-f) corresponding to the strong coupling limit of the continuum theory. The chiral symmetry restoring phase transition is studied as N-f is increased, and the critical number of flavors estimated as N-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(3) are briefly discussed.
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页数:5
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