Instability of Non-Commutative SYM Theories at Finite Temperature

Abstract

We extend our previous work on the quasi-particle excitations in N=4 non-commutative U(1) Yang-Mills theory at finite temperature. We show that above some critical temperature there is a tachyon in the spectrum of excitations. It is a collective transverse photon mode polarized in the non-commutative plane. Thus the theory seems to undergo a phase transition at high temperature. Furthermore we find that the group velocity of quasi-particles generically exceeds the speed of light at low momentum.

23 pages (harvmac b-mode), 5 figures, v2: discussion on U(N) theories and matter in fundamental representation added, misprints corrected, references added v3: reference added

References in corpus (7)

• Komaba Lectures on Noncommutative Solitons and D-Branes
• Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry
• Noncommutative Vortex Solitons
• Shortcuts in the fifth dimension
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• Traveling Faster than the Speed of Light in Non-Commutative Geometry
• The Higgs Mechanism in Non-commutative Gauge Theories

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• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• Matrix ${\varphi }^4$ Models on the Fuzzy Sphere and their Continuum Limits
• A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
• Closed Strings Tachyons and Non-Commutative Instabilities
• Cosmic Rays and the Search for a Lorentz Invariance Violation
• Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and Twisted Boundary Conditions
• On the unitarity of quantum gauge theories on non-commutative spaces
• Nonplanar Anomalies in Noncommutative Theories and the Green-Schwarz Mechanism
• Morita Duality and Large-N Limits
• Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces
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• The index of the overlap Dirac operator on a discretized 2d non-commutative torus
• Classical Solutions of the TEK Model and Noncommutative Instantons in Two Dimensions
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• Probability distribution of the index in gauge theory on 2d non-commutative geometry
• On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• One-loop Noncommutative U(1) Gauge Theory from Bosonic Worldline Approach
• The static effective action for non-commutative QED at high temperature
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• From UV/IR mixing to closed strings
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• Classical transport equation in non-commutative QED at high temperature
• Transport equation for the photon Wigner operator in non-commutative QED
• Twisted invariances of noncommutative gauge theories
• First Simulation Results for the Photon in a Non-Commutative Space
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• Fermionic Contributions to the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
• Non trivial spacetime effects in a supersymmetric model
• Constant H field, cosmology and faster than light solitons
• Could the photon dispersion relation be non-linear ?
• Nonequilibrium Dynamics in Noncommutative Spacetime
• Non-Commutative Gauge Theories and the Cosmological Constant
• A Note on UV/IR Mixing and Non-Commutative Instanton Calculus
• The Photon Dispersion as an Indicator for New Physics ?
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