Large Nf quantum field theory

被引:33
作者
Gracey, J. A. [1 ]
机构
[1] Univ Liverpool, Dept Math Sci, Theoret Phys Div, POB 147, Liverpool L69 3BX, Merseyside, England
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2018年 / 33卷 / 35期
关键词
Large N expansion; renormalization; perturbation theory; d-dimensional conformal methods; GROSS-NEVEU MODEL; O(N) SIGMA-MODEL; CRITICAL EXPONENT-ETA; EXACT MASS GAP; CONFORMAL BOOTSTRAP CALCULATION; INFRARED ASYMPTOTIC-BEHAVIOR; OPERATOR PRODUCT EXPANSIONS; MULTILOOP FEYNMAN-INTEGRALS; EXACT RENORMALIZATION-GROUP; QCD BETA-FUNCTION;
D O I
10.1142/S0217751X18300326
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 review the development of the large N method, where N indicates the number of flavours, used to study perturbative and nonperturbative properties of quantum field theories. The relevant historical background is summarized as a prelude to the introduction of the large N critical point formalism. This is used to compute large N corrections to d-dimensional critical exponents of the universal quantum field theory present at the Wilson Fisher fixed point. While pedagogical in part the application to gauge theories is also covered and the use of the large N method to complement explicit high order perturbative computations in gauge theories is also highlighted. The usefulness of the technique in relation to other methods currently used to study quantum field theories in d-dimensions is also summarized.
引用
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页数:70
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