Families of Particles with Different Masses in PT-Symmetric Quantum Field Theory

被引：26

作者：

Bender, Carl M. ^{[1
]}

Klevansky, S. P. ^{[2
]}

机构：

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

[2] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 03期

关键词：

NON-HERMITIAN HAMILTONIANS; BROKEN SYMMETRY; MECHANICS; EQUATIONS;

D O I：

10.1103/PhysRevLett.105.031601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An elementary field-theoretic mechanism is proposed that allows one Lagrangian to describe a family of particles having different masses but otherwise similar physical properties. The mechanism relies on the observation that the Dyson-Schwinger equations derived from a Lagrangian can have many different but equally valid solutions. Nonunique solutions to the Dyson-Schwinger equations arise when the functional integral for the Green's functions of the quantum field theory converges in different pairs of Stokes' wedges in complex-field space, and the solutions are physically viable if the pairs of Stokes' wedges are PT symmetric.

引用

页数：4

共 27 条

[1]

[Anonymous], 1993, QUASIEXACTLY SOLVABL

[2] Making sense of non-Hermitian Hamiltonians [J].