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

Katsusada Morita, Yoshitaka Okumura, Eizou Umezawa

Research output: Contribution to journalArticle

26 Citations (Scopus)


It is shown that the one-loop two-point amplitude in Lorentz-invariant non-commutative (NO) φ3 theory is finite after subtraction in the commutative limit and satisfies the usual cutting rule. This eliminates the unitarity problem in Lorentz-non-invariant NC field theory in the approximation considered.

Original languageEnglish
Pages (from-to)989-1001
Number of pages13
JournalProgress of Theoretical Physics
Issue number5
Publication statusPublished - 11-2003


All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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