Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and 
Twisted Boundary Conditions

Guralnik, Zachary; Helling, Robert C.; Landsteiner, Karl; Lopez, Esperanza

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Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and Twisted Boundary Conditions

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Lopez, Esperanza
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Guralnik, Z., Helling, R. C., Landsteiner, K., & Lopez, E. (2002). Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and Twisted Boundary Conditions. Journal of High Energy Physics, 2002(6): 025.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5468-6

Abstract

We study one-loop corrections in scalar and gauge field theories on the noncommutative 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