Effective Potential for \mathcal{P}\mathcal{T}-Symmetric Quantum Field Theories |
| |
Authors: | Carl M Bender H F Jones |
| |
Institution: | (1) Department of Physics, Washington University, St. Louis, Missouri, 63130;(2) Blackett Laboratory, Imperial College, London, SW7 2BZ, United Kingdom |
| |
Abstract: | Recently, a class of
-invariant scalar quantum field theories described by the non-Hermitian Lagrangian
=
()
2
+g
2
(i) was studied. It was found that there are two regions of . For <0 the
-invariance of the Lagrangian is spontaneously broken, and as a consequence, all but the lowest-lying energy levels are complex. For 0 the
-invariance of the Lagrangian is unbroken, and the entire energy spectrum is real and positive. The subtle transition at =0 is not well understood. In this paper we initiate an investigation of this transition by carrying out a detailed numerical study of the effective potential V
eff
(c) in zero-dimensional spacetime. Although this numerical work reveals some differences between the <0 and the >0 regimes, we cannot yet see convincing evidence of the transition at =0 in the structure of the effective potential for
-symmetric quantum field theories. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|