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

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

31 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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10.1143/PTP.110.989

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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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AU - Okumura, Yoshitaka

AU - Umezawa, Eizou

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N2 - 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.

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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U2 - 10.1143/PTP.110.989

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EP - 1001

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

IS - 5

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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