Effective Finite Temperature Partition Function for Fields on Non-Commutative Flat Manifolds

Abstract

The first quantum correction to the finite temperature partition function for a self-interacting massless scalar field on a $D-$dimensional flat manifold with $p$ non-commutative extra dimensions is evaluated by means of dimensional regularization, suplemented with zeta-function techniques. It is found that the zeta function associated with the effective one-loop operator may be nonregular at the origin. The important issue of the determination of the regularized vacuum energy, namely the first quantum correction to the energy in such case is discussed.

amslatex, 14 pages, to appear in Phys. Rev. D

References in corpus (2)

• Zeta Functions and the Casimir Energy
• Explicit Zeta Functions for Bosonic and Fermionic Fields on a Noncommutative Toroidal Spacetime

Cited by in corpus (12)

• Explicit Zeta Functions for Bosonic and Fermionic Fields on a Noncommutative Toroidal Spacetime
• Fluctuations of quantum fields via zeta function regularization
• Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
• Heat-kernel expansion on non compact domains and a generalised zeta-function regularisation procedure
• Slab Bag Fermionic Casimir effect, Chiral Boundaries and Vector Boson - Majorana Fermion Pistons
• Quantum Corrections for ABGB Black Hole
• On space-time noncommutative theories at finite temperature
• Effective action for scalar fields and generalised zeta-function regularisation
• Report of the Detailed Calculation of the Effective Potential in Spacetimes with $S^1\times R^d$ Topology and at Finite Temperature
• Non trivial spacetime effects in a supersymmetric model
• Kaluza-Klein Pistons with non-Commutative Extra Dimensions
• Partition function of massless scalar field in Schwarzschild background