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

Katsusada Morita; Yoshitaka Okumura; Eizou Umezawa

doi:10.1143/PTP.110.989

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

Katsusada Morita, Yoshitaka Okumura, Eizou Umezawa

Faculty of Radiological Technology

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	989-1001
Number of pages	13
Journal	Progress of Theoretical Physics
Volume	110
Issue number	5
DOIs	https://doi.org/10.1143/PTP.110.989
Publication status	Published - 11-2003

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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title = "Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory",

abstract = "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.",

author = "Katsusada Morita and Yoshitaka Okumura and Eizou Umezawa",

year = "2003",

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AB - 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.

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JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

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

Abstract

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