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Phys. Rev. Lett. 93, 251601 (2004) [4 pages]

Scalar Quantum Field Theory with a Complex Cubic Interaction

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Carl M. Bender*, Dorje C. Brody, and Hugh F. Jones
Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom

Received 2 February 2004; published 13 December 2004

In this Letter it is shown that an iφ3 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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.251601
DOI:
10.1103/PhysRevLett.93.251601
PACS:
11.30.Er, 03.65.Ta, 11.10.Lm, 12.38.Bx

*Permanent address: Department of Physics, Washington University, St. Louis, MO 63130, USA.