Boundaries in the Moyal plane
High Energy Physics - Theory
2015-06-16 v2 Mathematical Physics
math.MP
Abstract
We study the oscillations of a scalar field on a noncommutative disc implementing the boundary as the limit case of an interaction with an appropriately chosen confining background. The space of quantum fluctuations of the field is finite dimensional and displays the rotational and parity symmetry of the disc. We perform a numerical evaluation of the (finite) Casimir energy and obtain similar results as for the fuzzy sphere and torus.
Cite
@article{arxiv.1307.4464,
title = {Boundaries in the Moyal plane},
author = {H. Falomir and S. A. Franchino Viñas and P. A. G. Pisani and F. Vega},
journal= {arXiv preprint arXiv:1307.4464},
year = {2015}
}
Comments
19 pages, 6 figures. Replaced by published version