Cutting rules and perturbative unitarity of noncommutative electric-type field theories from string theory

Abstract

We discuss the breakdown of perturbative unitarity of noncommutative quantum field theories in electric-type background in the light of string theory. We consider the analytic structure of string loop two-point functions using a suitable off-shell continuation and then study the zero slope limit of Seiberg and Witten. In this way we pick up how the unphysical tachyonic branch cut appears in the noncommutative field theory. We briefly discuss discontinuities and cutting rules for the full string theory amplitude and relate them to the noncommutative field theoretical results, and also discuss the insight one gains into the magnetic case too.

18 pages, no figures, version accepted for publication in Phys. Rev. D

References in corpus (3)

• Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories
• On the unitarity of quantum gauge theories on non-commutative spaces
• Electromagnetic Strings: Complementarity between Time and Temperature

Cited by in corpus (6)

• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Troubles with Spacetime Noncommutative Theories: Tachyons or S-branes?
• Noncommutative perturbative quantum field theory: Wilson loop in two-dimensional Yang-Mills, and unitarity from string theory
• Unitarity of noncommutative field theories from string theory
• The Hierarchy Problem: From the Fundamentals to the Frontiers
• One-loop unitarity of string theories in a constant external background and their Seiberg-Witten limit