The C Operator in PT-Symmetric Quantum Field Theory Transforms as a Lorentz Scalar

Details The C Operator in PT-Symmetric Quantum Field Theory Transforms as a Lorentz Scalar The C Operator in PT-Symmetric Quantum Field Theory Transforms as a Lorentz Scalar

2004-12-29

arxiv.org/abs/hep-th/0412316v1

Phys.Rev. D71 (2005) 065010

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figure

Scientific paper

10.1103/PhysRevD.71.065010

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 of unitarity requires the construction of a linear operator called C. It is shown here that C is the complex extension of the intrinsic parity operator and that the C operator transforms under the Lorentz group as a scalar.

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