|Author||Nunez, Carlos ♦ Olsen, Kasper ♦ Schiappa, Ricardo|
|Date of Submission||2000-05-07|
|Subject Domain (in DDC)||Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics|
|Subject Keyword||High Energy Physics - Theory ♦ Condensed Matter ♦ Mathematical Physics ♦ Nonlinear Sciences - Exactly Solvable and Integrable Systems ♦ math ♦ nlin ♦ physics:cond-mat ♦ physics:hep-th ♦ physics:math-ph|
|Abstract||We extend standard path-integral techniques of bosonization and duality to the setting of noncommutative geometry. We start by constructing the bosonization prescription for a free Dirac fermion living in the noncommutative plane R_\theta^2. We show that in this abelian situation the fermion theory is dual to a noncommutative Wess-Zumino-Witten model. The non-abelian situation is also constructed along very similar lines. We apply the techniques derived to the massive Thirring model on noncommutative R_\theta^2 and show that it is dualized to a noncommutative WZW model plus a noncommutative cosine potential (like in the noncommutative Sine-Gordon model). The coupling constants in the fermionic and bosonic models are related via strong-weak coupling duality. This is thus an explicit construction of S-duality in a noncommutative field theory.|
|Description||Reference: JHEP 0007 (2000) 030|
|Learning Resource Type||Article|
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