Dual PT-symmetric quantum field theories

被引：113
作者：
Bender, CM [1 ]
Jones, HF
Rivers, RJ
机构：
[1] Washington Univ, Dept Phys, St Louis, MO 63130 USA
[2] Univ London Imperial Coll Sci Technol & Med, Dept Phys, London SW7 2BZ, England
来源：
PHYSICS LETTERS B | 2005年 / 625卷 / 3-4期
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.1016/j.physletb.2005.08.087
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Some quantum field theories described by non-Hermitian Hamiltonians are investigated. It is shown that for the case of a free fermion field theory with a gamma 5 mass term the Hamiltonian is PE-symmetric. Depending on the mass parameter this symmetry may be either broken or unbroken. When the PT symmetry is unbroken, the spectrum of the quantum field theory is real. For the PT-symmetric version of the massive Thirring model in two-dimensional space-time, which is dual to the PT-symmetric scalar sine-Gordon model, an exact construction of the C operator is given. It is shown that the PT-symmetric massive Thirring and sine-Gordon models are equivalent to the conventional Hermitian massive Thirring and sine-Gordon models with appropriately shifted masses. (c) 2005 Elsevier B.V. All rights reserved.
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收藏
页码：333 / 340
页数：8
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