Noncommutative Field Theory from String Theory: Two-loop Analysis

Abstract

Noncommutative ϕ^3 field theory in six dimensions exhibits the logarithmic UV/IR mixing at the two-loop order. We show that open string theory in the presence of constant background NS-NS two-form field yields the same amplitude upon taking a decoupling limit. The stretched string picture proposed on the basis of one-loop analysis naturally generalizes to the two-loop amplitudes in consideration. Our string theory formulation can incorporate the closed string insertions as well as open string insertions. Furthermore, the analysis of the world-sheet partition function and propagators can be straightforwardly generalized to Riemann surfaces with genus zero but with an arbitrary number of boundaries.

25 pages, 3 figures; v2. a reference added and typos corrected. Version to appear in Nuclear Physics B

References in corpus (9)

• String Theory and Noncommutative Geometry
• Renormalization of Quantum Field Theories on Noncommutative R^d, I. Scalars
• Evidence for Winding States in Noncommutative Quantum Field Theory
• The Interplay Between $\theta$ and T
• On the stringy nature of winding modes in noncommutative thermal field theories
• Closed Strings Interacting with Noncommutative D-branes
• Noncommutative Gauge Theory, Divergences and Closed Strings
• Scalar field theory limits of bosonic string amplitudes
• A Note on Open Strings in the Presence of Constant B-Field

Cited by in corpus (10)

• Quantum Field Theory on Noncommutative Spaces
• *-TREK: The One-Loop N=4 Noncommutative SYM Action
• The twisted open string partition function and Yukawa couplings
• Interacting Open Wilson Lines in Noncommutative Field Theories
• Factorization and generalized *-products
• Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
• Non-orientable string one-loop corrections in the presence of a B field
• Bound-state gravity from higher derivatives
• Multiloop Noncommutative Open String Theory and their QFT limit
• Planar Dominance in Non-commutative Field Theories at Infinite External Momentum