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First Simulation Results for the Photon in a Non-Commutative Space

✍ Scribed by W. Bietenholz; F. Hofheinz; J. Nishimura; Y. Susaki; J. Volkholz

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
124 KB
Volume
140
Category
Article
ISSN
0920-5632

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✦ Synopsis

We present preliminary simulation results for QED in a non-commutative 4d space-time, which is discretized to a fuzzy lattice. Its numerical treatment becomes feasible after its mapping onto a dimensionally reduced twisted Eguchi-Kawai matrix model. In this formulation we investigate the Wilson loops and in particular the Creutz ratios. This is an ongoing project which aims at non-perturbative predictions for the photon, which can be confronted with phenomenology in order to verify the possible existence of non-commutativity in nature.

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We studied the two known works on stability for isoperimetric inequalities of the first eigenvalue of the Laplacian. The earliest work is due to A. Melas who proved the stability of the Faber-Krahn inequality: for a convex domain contained in n with Ξ» close to Ξ», the first eigenvalue of the ball B o