Two-dimensional bosonization from variable shifts in the path integral∗
نویسنده
چکیده
A method to perform bosonization of a fermionic theory in (1 + 1) dimensions in a path integral framework is developed. The method relies exclusively on the path integral property of allowing variable shifts, and does not depend on the explicit form of Greens functions. Two examples, the Schwinger model and the massless Thirring model, are worked out. PACS numbers: 11.10.Kk; 11.15.Tk
منابع مشابه
روش انتگرال مسیر برای مدل هابارد تک نواره
We review various ways to express the partition function of the single-band Hubard model as a path integral. The emphasis is made on the derivation of the action in the integrand of the path integral and the results obtained from this approach are discussed only briefly. Since the single-band Hubbard model is a pure fermionic model on the lattice and its Hamiltonian is a polynomial in creat...
متن کامل2 v 1 2 5 Se p 19 96 Non Abelian Bosonization in Two and Three Dimensions
We discuss non-Abelian bosonization of two and three dimensional fermions using a path-integral framework in which the bosonic action follows from the evaluation of the fermion determinant for the Dirac operator in the presence of a vector field. This naturally leads to the Wess-Zumino-Witten action for massless two-dimensional fermions and to a Chern-Simons action for very massive three dimens...
متن کامل2 v 2 4 D ec 1 99 6 Non Abelian Bosonization in Two and Three Dimensions
We discuss non-Abelian bosonization of two and three dimensional fermions using a path-integral framework in which the bosonic action follows from the evaluation of the fermion determinant for the Dirac operator in the presence of a vector field. This naturally leads to the Wess-Zumino-Witten action for massless two-dimensional fermions and to a Chern-Simons action for very massive three dimens...
متن کاملJacobians of chiral transformations and two - dimensional bosonization ∗
We formulate a complete path integral bosonization procedure for any fermionic theory in two dimensions. The method works equally well for massive and massless fermions, and is a generalization of an approach suggested earlier by Andrianov. The classical action of the bosons in the bosonized theory is identified with −i times the logarithm of the Jacobian of a local chiral transformation, with ...
متن کاملar X iv : h ep - t h / 97 03 04 8 v 1 6 M ar 1 99 7 On three dimensional bosonization
We discuss Abelian and non-Abelian three dimensional bosoniza-tion within the path-integral framework. We present a systematic approach leading to the construction of the bosonic action which, together with the bosonization recipe for fermion currents, describes the original fermion system in terms of vector bosons.
متن کامل