18 citations · 35 across the 3 of their papers we have counts for
6 papers
$\PT$ Symmetry and Renormalisation in Quantum Field Theory
Carl M Bender, Alexander Felski, S P Klevansky +1
Quantum systems governed by non-Hermitian Hamiltonians with $\PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We argue that $\P…
Towards perturbative renormalization of quantum field theory
Alexander Felski, Carl M. Bender, S. P. Klevansky +1
In a previous paper it was shown how to calculate the ground-state energy density and the -point Green's functions for the -symmetric quantum fiel…
Fermion and meson mass generation in non-Hermitian Nambu--Jona-Lasinio models
Alexander Felski, S. P. Klevansky
We investigate the effects of non-Hermiticity on interacting fermionic systems. We do this by including non-Hermitian bilinear terms into the 3+1 dimensional Nambu--Jona-Lasinio (N…
Non-Hermitian extension of the Nambu--Jona-Lasinio model in 3+1 and 1+1 dimensions
Alexander Felski, Alireza Beygi, S. P. Klevansky
This paper presents a non-Hermitian PT-symmetric extension of the Nambu--Jona-Lasinio (NJL) model of quantum chromodynamics in 3+1 and 1+1 dimensions. In 3+1 dimensions, the SU(2)-…
Analytic eigenvalue structure of a coupled oscillator system beyond the ground state
Alexander Felski, S. P. Klevansky
By analytically continuing the eigenvalue problem of a system of two coupled harmonic oscillators in the complex coupling constant , we have found a continuation structure throu…
Analytic structure of eigenvalues of coupled quantum systems
Carl M. Bender, Alexander Felski, Nima Hassanpour +2
By analytically continuing the coupling constant of a coupled quantum theory, one can, at least in principle, arrive at a state whose energy is lower than the ground state of t…