Year: 2026
Type: article
Abstract: We study the canonical thermodynamics of a one-particle model in which a relativistic oscillator in d spatial dimensions is coupled to the finite Laplacian spectrum of a fuzzy two-sphere with angular-momentum cutoff J F ; the fuzzy eigenvalues shift the squared mass. In the nonrelativistic window, where the partition function factorises, the internal heat capacity follows the known positive T − 2 finite-spectrum law. For the full Klein–Gordon trace at fixed finite J F and fixed model parameters, the fuzzy contribution to the heat capacity is instead negative and decays as T − 2 , with a mass- and dimension-dependent coefficient; its leading term and, for d ≥ 3, its next-to-leading term are derived and confirmed by exact canonical sums. The two T − 2 laws hold in disjoint regimes, because the corresponding limits do not commute. For the three-dimensional Dirac oscillator, the unrestricted canonical trace diverges; spinor results are therefore defined only in a conditional ensemble with fixed conserved total angular momentum, which does not regularise or replace the unrestricted trace. No large- J F or commutative limit is considered.
Source: Nuclear Physics B
Author: Abdelmalek Boumali
Institution: Université Larbi Tébessi
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7221646288