Ultraviolet cut off and Bosonic Dominance

Abstract

We rederive the thermodynamical properties of a non interacting gas in the presence of a minimal uncertainty in length. Apart from the phase space measure which is modified due to a change of the Heisenberg uncertainty relations, the presence of an ultraviolet cut-off plays a tremendous role. The theory admits an intrinsic temperature above which the fermion contribution to energy density, pressure and entropy is negligible.

12 pages in revtex, 2 figures. Some coefficients have been changed in the A_2 model and two references added

References in corpus (9)

• The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
• Perturbation spectrum in inflation with cutoff
• Trans-Planckian dispersion and scale-invariance of inflationary perturbations
• Relic Dark energy from Trans-Planckian Regime
• Some Consequences of the Generalised Uncertainty Principle: Statistical Mechanical, Cosmological, and Varying Speed of Light
• The stress-energy tensor for trans-Planckian cosmology
• Is there an imprint of Planck scale physics on inflationary cosmology?
• Varying speed of light cosmology from a stringy short distance cutoff
• Maximally localized states and causality in non commutative quantum theories

Cited by in corpus (10)

• Analogue Gravity
• Statistical physics in deformed spaces with minimal length
• High temperature dimensional reduction in Snyder space
• Spacetime singularity resolution in Snyder noncommutative space
• Thermostatistics of the Polymeric Ideal Gas
• Noncommutative spaces and covariant formulation of statistical mechanics
• Ultraviolet cut off, black hole-radiation equilibrium and big bang
• Entropy bound for the photon gas in noncommutative spacetime
• Free Motion of a Dirac Particle with a Minimum Uncertainty in Position
• Photon gas thermodynamics in dS and AdS momentum spaces