Thermal Property on Noncommutative Geometry in Coherent State Formalism

The thermal dynamical property of ideal gas on the noncommutative geometry in the coherent state formalism is investigated. We first evaluate the statistical interparticle potential and see that there are residual “attraction potential” between boson and residual “repulsion potential” between fermion in the high temperature limit. The characters could be traced to the fact that, the particle with mass m in noncommutative thermal geometry with noncommutativity θ and temperature T will correspond to that in the commutative background with temperature T (1 + kTmθ). Such a correspondence implies that the ideal gas energy will asymptotically approach to the finite value as that on commutative geometry at Tθ = (kmθ) . We make some discussions about the novel property and a possible relation between Tθ, Hagedorn temperature, and Hagedorn transition is mentioned. *E-mail: [email protected]