منابع مشابه
Chiral bosonization as a duality.
We demonstrate that the technique of abelian bosonization through duality transformations can be extended to gauging anomalous symmetries. The example of a Dirac fermion theory is first illustrated. This idea is then also applied to bosonize a chiral fermion by gauging its chiral phase symmetry. Two dimensional field theory has long proven to be a fruitful area of investigation. An interesting ...
متن کاملNonabelian Bosonization as Duality †
Applying the techniques of nonabelian duality to a system of Majorana fermions in 1+1 dimensions, invariant under a nonabelian group O L (N) × O R (N), we obtain the level-one Wess-Zumino-Witten model as the dual theory. This makes nonabelian bosonization a particular case of a nonabelian duality transformation, generalizing our previous result for the abelian case.
متن کاملBosonization and Duality in Condensed Matter Systems
We show that abelian bosonization of 1+1 dimensional fermion systems can be interpreted as duality transformation and, as a conseguence, it can be generalized to arbitrary dimensions in terms of gauge forms of rank d − 1, where d is the dimension of the space. This permit to treat condensed matter systems in d > 1 as gauge theories. Furthermore we show that in the “scaling” limit the bosonized ...
متن کاملBosonization and Duality of Massive Thirring Model
Starting from a reformulation of the Thirring model as a gauge theory, we consider the bosonization of the D-dimensional multiflavor massive Thirring model (D ≥ 2) with four-fermion interaction of the current-current type. Our method leads to a novel interpolating Lagrangian written in terms of two gauge fields. Especially we pay attention to the case of very massive fermion m ≫ 1 in (2+1) and ...
متن کاملFrom Noncommutative Bosonization to S-Duality
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 Rθ. 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...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2018
ISSN: 1029-8479
DOI: 10.1007/jhep01(2018)031