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Scalar Quantum Field Theory with Cubic Interaction

High Energy Physics - Theory 2009-11-10 v3

Abstract

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 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.

Keywords

Cite

@article{arxiv.hep-th/0402011,
  title  = {Scalar Quantum Field Theory with Cubic Interaction},
  author = {Carl M. Bender and Dorje C. Brody and Hugh F. Jones},
  journal= {arXiv preprint arXiv:hep-th/0402011},
  year   = {2009}
}

Comments

Corrected expressions in equations (20) and (21)