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

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 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

Fingerprint

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

Cite this

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

@article{a1485bb2ba8041df997095dd0f548261,

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",

month = nov

doi = "10.1143/PTP.110.989",

language = "English",

volume = "110",

pages = "989--1001",

journal = "Progress of Theoretical Physics",

issn = "0033-068X",

publisher = "Yukawa Institute for Theoretical Physics",

number = "5",

}

TY - JOUR

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

AU - Morita, Katsusada

AU - Okumura, Yoshitaka

AU - Umezawa, Eizou

PY - 2003/11

Y1 - 2003/11

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

AN - SCOPUS:0742271096

VL - 110

SP - 989

EP - 1001

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 5

ER -

Access to Document

10.1143/PTP.110.989