Lorentz Invariance And Unitarity Problem In Non-Commutative Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages

Scientific paper

10.1143/PTP.110.989

It is shown that the one-loop two-point amplitude in {\it Lorentz-invariant}
non-commutative (NC) $\phi^3$ 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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