On the stringy nature of winding modes in noncommutative thermal field theories

Abstract

We show that thermal noncommutative field theories admit a version of `channel duality' reminiscent of open/closed string duality, where non-planar thermal loops can be replaced by an infinite tower of tree-level exchanges of effective fields. These effective fields resemble closed strings in three aspects: their mass spectrum is that of closed-string winding modes, their interaction vertices contain extra moduli, and they can be regarded as propagating in a higher-dimensional `bulk' space-time. In noncommutative models that can be embedded in a D-brane, we show the precise relation between the effective `winding fields' and closed strings propagating off the D-brane. The winding fields represent the coherent coupling of the infinite tower of closed-string oscillator states. We derive a sum rule that expresses this effective coupling in terms of the elementary couplings of closed strings to the D-brane. We furthermore clarify the relation between the effective propagating dimension of the winding fields and the true codimension of the D-brane.

24 pages, harvmac, epsf. 5 postscript figures included

References in corpus (6)

• Noncommutative Perturbative Dynamics
• The IR/UV Connection in the Non-Commutative Gauge Theories
• Evidence for Winding States in Noncommutative Quantum Field Theory
• Noncommutative Gauge Dynamics From The String Worldsheet
• Stretched Strings in Noncommutative Field Theory
• A Note on UV/IR for Noncommutative Complex Scalar Field

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