138 citations · 592 across the 13 of their papers we have counts for
8 papers · 1 filter
Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians
Jean Alexandre, Carl M. Bender
Two Non-Hermitian fermion models are proposed and analyzed by using Foldy-Wouthuysen transformations. One model has Lorentz symmetry breaking and the other has a non-Hermitian mass…
Dual PT-Symmetric Quantum Field Theories
Carl M. Bender, H. F. Jones, R. J. Rivers
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 mass term the Hamilt…
PT-Symmetric Quantum Electrodynamics
Carl M. Bender, Ines Cavero-Pelaez, Kimball A. Milton +1
The Hamiltonian for quantum electrodynamics becomes non-Hermitian if the unrenormalized electric charge is taken to be imaginary. However, if one also specifies that the potent…
Nonperturbative calculation of symmetry breaking in quantum field theory
Carl M. Bender, Kimball A. Milton
A new version of the delta expansion is presented, which, unlike the conventional delta expansion, can be used to do nonperturbative calculations in a self-interacting scalar quant…
Multiple-Scale Analysis of Quantum Systems
Carl M. Bender, Luis M. A. Bettencourt
Conventional weak-coupling Rayleigh-Schrödinger perturbation theory suffers from problems that arise from resonant coupling of successive orders in the perturbation series. Multipl…
Multiple-Scale Analysis of the Quantum Anharmonic Oscillator
Carl M. Bender, Luis M. A. Bettencourt
Conventional weak-coupling perturbation theory suffers from problems that arise from resonant coupling of successive orders in the perturbation series. Multiple-scale perturbation…
Convergence of the Optimized Delta Expansion for the Connected Vacuum Amplitude: Zero Dimensions
C. M. Bender, A. Duncan, H. F. Jones
Recent proofs of the convergence of the linear delta expansion in zero and in one dimensions have been limited to the analogue of the vacuum generating functional in field theory.…
Spontaneous Symmetry Breaking of phi4(1+1) in Light Front Field Theory
Carl M. Bender, Stephen Pinsky, Brett Van de Sande
We study spontaneous symmetry breaking in phi^4_(1+1) using the light-front formulation of the field theory. Since the physical vacuum is always the same as the perturbative vacuum…