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The Vacuum and light cone quantization of interaction Hamiltonians

Authors
  • Baez, J.C.
Publication Date
Jan 01, 1991
Identifiers
DOI: 10.1007/BF00401645
OAI: oai:inspirehep.net:317055
Source
INSPIRE-HEP
License
Unknown
External links

Abstract

Let ϕ denote the conformally invariant neutral free scalar field on ℝ×Sn. The ‘naive’ lightcone Hamiltonian for a ϕp interaction is given by ∭c∶ϕp⋅, where C denotes a lightcone in ℝ×Sn, and the Wick power is relative to the free vacuum. We show that this sesquilinear form annihilates the free vacuum if n≥3 is odd, p>2, and p(n−1)≡0 mod 4.

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