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

Katsusada Morita, Yoshitaka Okumura, Eizo Umezawa

Research output: Contribution to journal › Article

26 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 languageEnglish
Pages (from-to)989-1001
Number of pages13
JournalProgress of Theoretical Physics
Volume110
Issue number5
DOIs
Publication statusPublished - 01-01-2003

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subtraction
invariance
approximation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

Morita, Katsusada ; Okumura, Yoshitaka ; Umezawa, Eizo. / Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory. In: Progress of Theoretical Physics. 2003 ; Vol. 110, No. 5. pp. 989-1001.
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Morita, K, Okumura, Y & Umezawa, E 2003, 'Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory', 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.

In: Progress of Theoretical Physics, Vol. 110, No. 5, 01.01.2003, p. 989-1001.

Research output: Contribution to journal › Article

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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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Morita K, Okumura Y, Umezawa E. Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory. Progress of Theoretical Physics. 2003 Jan 1;110(5):989-1001. https://doi.org/10.1143/PTP.110.989

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