Finite temperature phase transition of a single scalar field on a fuzzy sphere

Abstract

We study finite temperature phase transition of neutral scalar field on a fuzzy sphere using Monte Carlo simulations. We work with the zero mode in the temporal directions, while the effects of the higher modes are taken care by the temperature dependence of r. In the numerical calculations we use "pseudo-heatbath" method which reduces the auto-correlation considerably. Our results agree with the conventional calculations. We report some new results which show the presence of meta-stable states and also suggest that for suitable choice of parameters the symmetry breaking transition is of first order.

arXiv comment10 pages, 16 figures

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Cited by in corpus (24)

• Noncommutative Field Theory: Numerical Analysis with the Fuzzy Disc
• Lectures on Matrix Field Theory I
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• Phase diagrams of the multitrace quartic matrix models of noncommutative Φ^4
• Emergent geometry from random multitrace matrix models
• Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories
• Thermofield Dynamics for Twisted Poincare-Invariant Field Theories: Wick Theorem and S-matrix
• Thermofield dynamics and twisted Poincaré symmetry on Moyal space-time
• Entanglement entropy in scalar field theory on the fuzzy sphere
• Renormalization group approach to matrix models via noncommutative space
• A Multitrace Approach to Noncommutative Φ_2^4
• Renormalization on the fuzzy sphere
• The fate of the Wilson-Fisher fixed point in non-commutative ϕ^4
• Matrix Model Fixed Point of Noncommutative Phi-Four
• 'Schwinger Model' on the Fuzzy Sphere
• Fuzzy Scalar Field Theory as Matrix Quantum Mechanics
• Phase structure of fuzzy black holes
• A generalized volume law for entanglement entropy on the fuzzy sphere
• Correlation functions and renormalization in a scalar field theory on the fuzzy sphere
• Quantized Noncommutative Geometry from Multitrace Matrix Models
• Topological stability of broken symmetry on fuzzy spheres
• Unusual Thermodynamics on the Fuzzy 2-Sphere
• Beyond fuzzy spheres
• Wilson RG of Noncommutative ${\Phi }_4^4$