Thursday, July 18, 2013

1307.4464 (H. Falomir et al.)

Boundaries in the Moyal plane    [PDF]

H. Falomir, S. A. Franchino Viñas, P. A. G. Pisani, F. Vega
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.
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