Scalar quantum field theory with cubic interaction

Feb, 2004
5 pages
Published in:
  • Phys.Rev.Lett. 93 (2004) 251601
e-Print:

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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.
  • 12.38.Bx
  • 11.30.Er
  • 03.65.Ta
  • 11.10.Lm
  • quantum field theory
  • discrete symmetries
  • Hilbert spaces
  • field theory: scalar
  • Hilbert space
  • operator: linear