Noncommutative scalar fields in compact spaces: quantisation and implications
Abstract
In this paper we consider a two component scalar field theory, with noncommutativity in its conjugate momentum space. We quantize such a theory in a compact space with the help of dressing transformations and we reveal a significant effect of introducing such noncommutativity as the splitting of the energy levels of each individual mode that constitutes the whole system. We further compute the thermal partition function exactly with predicted deformed dispersion relations from noncommutative theories and compare the results with usual results. It is found that thermodynamic quantities in noncommutative models, irrespective of whether the model is more deformed in infrared/UV region, show deviation from standard results in high temperature region.
Cite
@article{arxiv.1707.01643,
title = {Noncommutative scalar fields in compact spaces: quantisation and implications},
author = {Mir Mehedi Faruk and Mishkat Al Alvi and Wasif Ahmed and Md Muktadir Rahman and Arup Barua Apu},
journal= {arXiv preprint arXiv:1707.01643},
year = {2017}
}
Comments
13 pages