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

放射線学科

研究成果: Article › 査読

28 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	989-1001
ページ数	13
ジャーナル	Progress of Theoretical Physics
巻	110
号	5
DOI	https://doi.org/10.1143/PTP.110.989
出版ステータス	Published - 11-2003

All Science Journal Classification (ASJC) codes

物理学および天文学（その他）

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10.1143/PTP.110.989

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引用スタイル

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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.",

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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

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

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