Variational solution of the Gross-Neveu model: Finite N and renormalization

被引：35
|
作者：
Arvanitis, C
Geniet, F
Iacomi, M
Kneur, JL
Neveu, A
机构：
[1] UNIV MONTPELLIER 2,PHYS MATH LAB,CNRS,F-34095 MONTPELLIER 05,FRANCE
[2] CERN,DIV THEORET PHYS,CH-1211 GENEVA 23,SWITZERLAND
[3] UNIV CALIF BERKELEY,LAWRENCE BERKELEY LAB,THEORET PHYS GRP,BERKELEY,CA 94720
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1997年 / 12卷 / 19期
关键词：
D O I：
10.1142/S0217751X97001730
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We show how to perform systematically improvable variational calculations in the O(2N) Gross-Neveu model for generic N, in such a way that all infinities usually plaguing such calculations are accounted for in a way compatible with the perturbative renormalization group. The final point is a general framework for the calculation of nonperturbative quantities like condensates, masses, etc., in an asymptotically free field theory. For the Gross-Neveu model, the numerical results obtained from a ''two-loop'' variational calculation are in a very good agreement with exact quantities down to low values of N.
引用
收藏
页码：3307 / 3334
页数：28
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