Evidence for Winding States in Noncommutative Quantum Field Theory

Abstract

We study noncommutative field theories at finite temperature to learn more about the degrees of freedom in the non-planar sector of these systems. We find evidence for winding states. At temperatures for which the thermal wavelength is smaller than the noncommutativity scale, there is a drastic reduction of the degrees of freedom in the non-planar sector. In this regime, the non-planar sector has thermodynamics resembling that of a 1+1 dimensional field theory.

15 pages, 3 figures. Typos corrected and minor clarifications added

References in corpus (9)

• Noncommutative Perturbative Dynamics
• Wilson Loops in Noncommutative Yang Mills
• Renormalization of Quantum Field Theories on Noncommutative R^d, I. Scalars
• Two-Loop Diagrams in Noncommutative ${\varphi }_4^4$ theory
• Bi-local Fields in Noncommutative Field Theory
• Phase Structure of Non-Commutative Field Theories and Spinning Brane Bound States
• Renormalization of noncommutative Yang-Mills theories: A simple example
• On the Equivalence between Noncommutative and Ordinary Gauge Theories
• T-duality of non-commutative gauge theories

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• Superluminal Noncommutative Photons
• String Scale in Noncommutative Yang-Mills
• Excitations in Hot Non-Commutative Theories
• Notes on Noncommutative Instantons
• UV/IR Mixing for Noncommutative Complex Scalar Field Theory, II (Interaction with Gauge Fields)
• General structure of the photon self-energy in non-commutative QED
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• Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
• Hard Non-commutative Loops Resummation
• Effective Finite Temperature Partition Function for Fields on Non-Commutative Flat Manifolds
• Noncommutative Linear Sigma Models
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• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Noncommutative Field Theory from String Theory: Two-loop Analysis
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• On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Transport equation and hard thermal loops in noncommutative Yang-Mills theory
• The static effective action for non-commutative QED at high temperature
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• The Hierarchy Problem: From the Fundamentals to the Frontiers
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• Stretched strings and worldsheets with a handle
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• Nonequilibrium Dynamics in Noncommutative Spacetime
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