Boundaries in the Moyal plane

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.

Palabras clave: Non-Commutative Geometry , Field Theories in Lower Dimensions , Boundary Quantum Field Theory , Matrix Models

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Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)

Identificadores

URI: http://hdl.handle.net/11336/23638

URL: http://link.springer.com/article/10.1007%2FJHEP12%282013%29024

DOI: http://dx.doi.org/10.1007/JHEP12(2013)024

Colecciones

Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA

Citación

Falomir, Horacio Alberto; Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Vega, Federico Gaspar; Boundaries in the Moyal plane; Springer Heidelberg; Journal of High Energy Physics; 2013; 24; 12-2013; 1-20

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