Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and Twisted Boundary Conditions
High Energy Physics - Theory
2009-11-07 v1 High Energy Physics - Lattice
Abstract
We study one-loop corrections in scalar and gauge field theories on the non-commutative torus. For rational theta, Morita equivalence allows these theories to be reformulated in terms of ordinary theories on a commutative torus with twisted boundary conditions. UV/IR mixing does not lead to singularities, however there can be large corrections. In particular, gauge theories show tachyonic instabilities for some of the modes. We discuss their relevance to spontaneous Z_N x Z_N symmetry breaking in the Morita dual SU(N) theory due to electric flux condensation.
Keywords
Cite
@article{arxiv.hep-th/0204037,
title = {Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and Twisted Boundary Conditions},
author = {Z. Guralnik and R. C. Helling and K. Landsteiner and E. Lopez},
journal= {arXiv preprint arXiv:hep-th/0204037},
year = {2009}
}
Comments
30 pages