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 | |
| Publication status | Published - 11-2003 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)
Cite this
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Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory. / Morita, Katsusada; Okumura, Yoshitaka; Umezawa, Eizou.
In: Progress of Theoretical Physics, Vol. 110, No. 5, 11.2003, p. 989-1001.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, 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 -