# A Remark On Field Theories On The Non-Commutative Torus

@article{Helling2001ARO, title={A Remark On Field Theories On The Non-Commutative Torus}, author={Robert C. Helling}, journal={arXiv: High Energy Physics - Theory}, year={2001} }

We investigate field theories on the non-commutative torus upon varying theta, the parameter of non-commutativity. We argue that one should think of Morita equivalence as a symmetry of algebras describing the same space rather than of theories living on different spaces (as is T-duality). Then we give arguments why physical observables depend on theta non-continuously.

## One Citation

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

- Mathematics, Physics
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We study one-loop corrections in scalar and gauge field theories on the non-commutative torus. For rational θ, Morita equivalence allows these theories to be reformulated in terms of ordinary…

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