Fermion Schwinger's function for the SU(2)-Thirring model

被引:8
作者
Doyon, B
Lukyanov, S
机构
[1] Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08855 USA
[2] LD Landau Theoret Phys Inst, Moscow, Russia
基金
加拿大自然科学与工程研究理事会;
关键词
integrable quantum field theory; correlation function; conformal perturbation theory; renormalization group; SU(2)-Thirring model;
D O I
10.1016/S0550-3213(02)00795-2
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study the Euclidean two-point function of Fermi fields in the SU(2)-Thirring model on the whole distance (energy) scale. We perform perturbative and renormalization group analyses to obtain the short-distance asymptotics, and numerically evaluate the long-distance behavior by using the form factor expansion. Our results illustrate the use of bosonization and conformal perturbation theory in the renormalization group analysis of a fermionic theory, and numerically confirm the validity of the form factor expansion in the case of the SU(2)-Thirring model. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:451 / 475
页数:25
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