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The C Operator in PT-Symmetric Quantum Field Theory Transforms as a Lorentz Scalar
Carl M. Bender, Sebastian F. Brandt, Jun-Hua Chen +1
A non-Hermitian Hamiltonian has a real positive spectrum and exhibits unitary time evolution if the Hamiltonian possesses an unbroken PT (space-time reflection) symmetry. The proof…
Wilson Polynomials and the Lorentz Transformation Properties of the Parity Operator
Carl M. Bender, Peter N. Meisinger, Qinghai Wang
The parity operator for a parity-symmetric quantum field theory transforms as an infinite sum of irreducible representations of the homogeneous Lorentz group. These representations…
Semiclassical Calculation of the C Operator in PT-Symmetric Quantum Mechanics
Carl M. Bender, Hugh F. Jones
To determine the Hilbert space and inner product for a quantum theory defined by a non-Hermitian -symmetric Hamiltonian , it is necessary to construct a new time-i…
Scalar Quantum Field Theory with Cubic Interaction
Carl M. Bender, Dorje C. Brody, Hugh F. Jones
In this paper it is shown that an i phi^3 field theory is a physically acceptable field theory model (the spectrum is positive and the theory is unitary). The demonstration rests o…