https://doi.org/10.1140/epjp/i2018-12207-7
Regular Article
Thermodynamics in the NC disc
1
Theoretisch-Physikalisches Institut, Friedrich Schiller Universität Jena, Max Wien Platz 1, 07743, Jena, Germany
2
Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67 (1900), La Plata, Argentina
3
IFLP-CONICET/ Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67 (1900), La Plata, Argentina
* e-mail: sa.franchino@uni-jena.de
Received:
1
June
2018
Accepted:
21
August
2018
Published online:
17
October
2018
We study the thermodynamics of a scalar field on a noncommutative disc implementing the boundary as the limit case of an interaction with an appropriately chosen confining background. We explicitly obtain expressions for thermodynamic potentials of gases of particles obeying different statistics. In order to do that, we derive an asymptotic expansion for the density of the zeros of Laguerre polynomials. As a result we prove that the Bose-Einstein condensation in the noncommutative disc does not take place.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
