Boundaries in the Moyal plane

Falomir, Horacio Alberto; Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Vega, Federico Gaspar

Artículos de revistas

Fecha

2013-12

Registro en:

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

1029-8479

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

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1883589

Autor

Falomir, Horacio Alberto

Franchino Viñas, Sebastián Alberto

González Pisani, Pablo Andrés

Vega, Federico Gaspar

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

Non-Commutative Geometry

Field Theories in Lower Dimensions

Boundary Quantum Field Theory

Matrix Models

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