Lorentz Invariance And Unitarity Problem In Non-Commutative Field Theory
Katsusada Morita, Yoshitaka Okumura, Eizou Umezawa
Abstract
It is shown that the one-loop two-point amplitude in Lorentz-invariant non-commutative (NC) ϕ3 theory is finite after subtraction in the commutative limit and satisfies the usual cutting rule, thereby eliminating the unitarity problem in Lorentz-non-invariant NC field theory in the approximation considered.
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