Dominance of a single topological sector in gauge theory on non-commutative geometry - High Energy Physics - TheoryReport as inadecuate




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Abstract: We demonstrate a striking effect of non-commutative NC geometry ontopological properties of gauge theory by Monte Carlo simulations. We study 2dU1 NC gauge theory for various boundary conditions using a new finite-matrixformulation proposed recently. We find that a single topological sectordictated by the boundary condition dominates in the continuum limit. This is insharp contrast to the results in commutative space-time based on lattice gaugetheory, where all topological sectors appear with certain weights in thecontinuum limit. We discuss possible implications of this effect in the contextof string theory compactifications and in field theory contexts.



Author: Hajime Aoki, Jun Nishimura, Yoshiaki Susaki

Source: https://arxiv.org/



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