### Abstract

It is shown that the one-loop two-point amplitude in Lorentz-invariant non-commutative (NO) φ^{3} 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 |
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Pages (from-to) | 989-1001 |

Number of pages | 13 |

Journal | Progress of Theoretical Physics |

Volume | 110 |

Issue number | 5 |

DOIs | |

Publication status | Published - 01-01-2003 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

*Progress of Theoretical Physics*,

*110*(5), 989-1001. https://doi.org/10.1143/PTP.110.989

}

*Progress of Theoretical Physics*, vol. 110, no. 5, pp. 989-1001. https://doi.org/10.1143/PTP.110.989

**Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory.** / Morita, Katsusada; Okumura, Yoshitaka; Umezawa, Eizo.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory

AU - Morita, Katsusada

AU - Okumura, Yoshitaka

AU - Umezawa, Eizo

PY - 2003/1/1

Y1 - 2003/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=0742271096&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0742271096&partnerID=8YFLogxK

U2 - 10.1143/PTP.110.989

DO - 10.1143/PTP.110.989

M3 - Article

VL - 110

SP - 989

EP - 1001

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 5

ER -