Scalar Quantum Field Theory with a Complex Cubic Interaction
Carl M. BenderBlackett Laboratory, Imperial College, London SW7 2BZ, UKDorje C. BrodyBlackett Laboratory, Imperial College, London SW7 2BZ, United KingdomH. F. JonesBlackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom
2004en
ABI
Abstract
In this Letter it is shown that an i phi(3) quantum field theory is a physically acceptable model because the spectrum is positive and the theory is unitary. The demonstration rests on the perturbative construction of a linear operator C, which is needed to define the Hilbert space inner product. The C operator is a new, time-independent observable in PT-symmetric quantum field theory.
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Cited by 40 references