Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory | Zendy

K. Morita | Zendy; Y. Okumura | Zendy; Eizou Umezawa | Zendy

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Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory

Author(s) -

K. Morita,

Y. Okumura,

Eizou Umezawa

Publication year - 2003

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.110.989

Subject(s) - unitarity , lorentz covariance , physics , cpt symmetry , invariant (physics) , commutative property , lorentz transformation , mathematical physics , limit (mathematics) , field (mathematics) , field theory (psychology) , theoretical physics , quantum mechanics , pure mathematics , mathematics , mathematical analysis

It is shown that the one-loop two-point amplitude in {\it Lorentz-invariant}non-commutative (NC) $\phi^3$ theory is finite after subtraction in thecommutative limit and satisfies the usual cutting rule, thereby eliminating theunitarity problem in Lorentz-non-invariant NC field theory in the approximationconsidered.Comment: 14 page

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