Critical behavior of the PT-symmetric iφ3 quantum field theory

被引：27

作者：

Bender, Carl M. ^{[1
]}

Branchina, V. ^{[2
,3
]}

Messina, Emanuele ^{[2
,3
]}

机构：

[1] Washington Univ, Dept Phys, St Louis, MO 63130 USA

[2] Univ Catania, Dept Phys, I-95123 Catania, Italy

[3] INFN, Sez Catania, I-95123 Catania, Italy

来源：

PHYSICAL REVIEW D | 2013年 / 87卷 / 08期

关键词：

LEE EDGE SINGULARITY; PERTURBATION-THEORY; MECHANICS; SPECTRA;

D O I：

10.1103/PhysRevD.87.085029

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

It was shown recently that a PT-symmetric i phi(3) quantum field theory in 6 - epsilon dimensions possesses a nontrivial fixed point. The critical behavior of this theory around the fixed point is examined and it is shown that the corresponding phase transition is related to the existence of a nontrivial solution of the gap equation. The theory is studied first in the mean-field approximation and the critical exponents are calculated. Then, it is examined beyond the mean-field approximation by using renormalization-group techniques, and the critical exponents for 6 - epsilon dimensions are calculated to order epsilon. It is shown that because of its stability the PT-symmetric i phi(3) theory has a higher predictive power than the conventional phi(3) theory. A comparison of the i phi(3) model with the Lee-Yang model is given. DOI: 10.1103/PhysRevD.87.085029

引用

页数：5

共 17 条

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