First numerical approach to a Grosse-Wulkenhaar model

Details First numerical approach to a Grosse-Wulkenhaar model First numerical approach to a Grosse-Wulkenhaar model

2011-11-12

arxiv.org/abs/1111.2951v1

Physics

High Energy Physics

High Energy Physics - Theory

Published in the proceedings of the EU-NCG 4th Annual Meeting Bucharest, Romania, April 25 - 30, 2011

Scientific paper

A numerical investigation of a non-commutative field theory defined via the spectral action principle is conducted. The construction of this triple relies on an 8-dimensional Clifford algebra. Following to the standard procedure of non-commutative geometry, the spectral action is computed for the product of the triple (A,H,D) with a matrix-valued spectral triple. Using Monte Carlo simulation we study various quantities such as the energy density, the specific heat density and some order parameters varying the matrix size and the independent parameters of the model.

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