On space-time noncommutative theories at finite temperature

Abstract

We analyze renormalization and the high temperature expansion of the one-loop effective action of the space-time noncommutative ϕ^4 theory by using the zeta function regularization in the imaginary time formalism (i.e., on S^1 x R^3). Interestingly enough, there are no mixed (non-planar) contributions to the counterterms as well as to the power-law high temperature asymptotics. We also study the Wick rotation and formulate assumptions under which the real and imaginary time formalisms are equivalent.

24 pages, v2: minor changes

References in corpus (42)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Perturbative Dynamics
• Heat kernel expansion: user's manual
• Space-Time Noncommutative Field Theories And Unitarity
• Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
• Space/Time Non-Commutativity and Causality
• Duality in Scalar Field Theory on Noncommutative Phase Spaces
• On the ground state energy for a penetrable sphere and for a dielectric ball
• Remarks on Time-Space Noncommutative Field Theories
• Space-Time Noncommutativity, Discreteness of Time and Unitarity
• Convergence Theorem for Non-commutative Feynman Graphs and Renormalization
• Heat kernels and zeta-function regularization for the mass of the supersymmetric kink
• The spectral action for Moyal planes
• Evidence for Winding States in Noncommutative Quantum Field Theory
• Non-commutative heat kernel
• A Note on UV/IR for Noncommutative Complex Scalar Field
• Instability of Non-Commutative SYM Theories at Finite Temperature
• Quantum noncommutative gravity in two dimensions
• Excitations in Hot Non-Commutative Theories
• Thermal effects in perturbative noncommutative gauge theories
• Time-Space Noncommutativity: Quantised Evolutions
• The Interplay Between $\theta$ and T
• Heat kernel and number theory on NC-torus
• Trouble with space-like noncommutative field theory
• On the stringy nature of winding modes in noncommutative thermal field theories
• Heat kernel, effective action and anomalies in noncommutative theories
• Noncommutative QFT and Renormalization
• Statistical Mechanics, Gravity, and Euclidean Theory
• Effective Finite Temperature Partition Function for Fields on Non-Commutative Flat Manifolds
• Kaluza-Klein Method in Theory of Rotating Quantum Fields
• On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Spectral Asymptotics of Eigen-value Problems with Non-linear Dependence on the Spectral Parameter
• The static effective action for non-commutative QED at high temperature
• High-Temperature Effective Potential of Noncommutative Scalar Field Theory: Reduction of Degree of Freedom by Noncommutativity
• Transport equation for the photon Wigner operator in non-commutative QED
• Background field quantization and non-commutative Maxwell theory
• Fermionic Contributions to the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
• Induced Chern-Simons action on noncommutative torus
• Thermodynamics, Euclidean Gravity and Kaluza-Klein Reduction
• Dispersion relations for the self-energy in non-commutative field theories

Cited by in corpus (9)

• Quantum corrections to the noncommutative kink
• Heat Trace Asymptotics on Noncommutative Spaces
• Thermofield Dynamics for Twisted Poincare-Invariant Field Theories: Wick Theorem and S-matrix
• Divergences in the vacuum energy for frequency-dependent interactions
• Quantum aspects of a noncommutative supersymmetric kink
• Quantum Field, Thermodynamics and Black Hole on Coherent State Representation of Fuzzy Space
• Noncommutative real scalar field theory in 2+1 dimensions at finite temperature
• Symmetry breaking in nonuniform noncommutative $\lambda {\varphi }^4$ theory at finite temperature
• On space-time noncommutative U(1) model at high temperature