Perturbative instabilities on the noncommutative torus, Morita duality and twisted boundary conditions

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

doi:10.1088/1126-6708/2002/05/025

Perturbative instabilities on the noncommutative torus, Morita duality and twisted boundary conditions

Apr, 2002

30 pages

Published in:

JHEP 05 (2002) 025

e-Print:

hep-th/0204037 [hep-th]

DOI:

10.1088/1126-6708/2002/05/025

Report number:

HU-EP-02-11,
AEI-2002-026

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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.

gauge field theory
field theory: scalar
torus: noncommutative
duality
Morita equivalence
boundary condition
stability
symmetry: Z(N) x Z(N)
spontaneous symmetry breaking
two-point function

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