Non abelian bosonisation in three dimensional field theory
arXiv:hep-th/9607065 · doi:10.1016/S0550-3213(96)90147-9
Abstract
We develop a method based on the generalised Stückelberg prescription for discussing bosonisation in the low energy regime of the SU(2) massive Thirring model in 2+1 dimensions. For arbitrary values of the coupling parameter the bosonised theory is found to be a nonabelian gauge theory whose physical sector is explicitly obtained. In the case of vanishing coupling this gauge theory can be identified with the SU(2) Yang-Mills Chern-Simons theory in the limit when the Yang-Mills term vanishes. Bosonisation identities for the fermionic current are derived.
Latex version, 14 pages; 23 references
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Cited by in corpus (18)
- The Stueckelberg Field
- Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
- Hamiltonian embedding of the massive Yang-Mills theory and the generalized Stückelberg formalism
- On the equivalence of the self-dual and Maxwell-Chern-Simons models coupled to Fermions
- On three dimensional bosonization
- Bosonization in the Noncommutative Plane
- Different Approaches for Bosonization in Higher Dimensions
- Duality between Noncommutative Yang-Mills-Chern-Simons and Non-Abelian Self-Dual Models
- On the duality of three-dimensional superfield theories
- On the dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking
- BFT Hamiltonian Embedding of Non-Abelian Self-Dual Model
- On duality of the noncommutative Maxwell-Chern-Simons theory
- Quadratic Effective Action for QED in D=2,3 Dimensions
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- Bosonisation Excercise in Three Dimensions: Gauged Massive Thirring Model
- Large N and Bosonization in Three Dimensions
- Perturbative bosonization from two-point correlation functions
- The self-dual Lorentz violating model: quantization, scattering and dual equivalence