Lorentz Invariance And Unitarity Problem In Non-Commutative Field Theory

Abstract

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

14 pages

References in corpus (2)

• General Properties of Noncommutative Field Theories
• Lorentz-Invariant Non-Commutative QED

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