Bosonization and Duality of Massive Thirring Model

Details Bosonization and Duality of Massive Thirring Model Bosonization and Duality of Massive Thirring Model

1995-02-16

arxiv.org/abs/hep-th/9502100v2

Prog.Theor.Phys. 94 (1995) 899-914

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX (minor changes and the final section is added)

Scientific paper

10.1143/PTP.94.899

Starting from a reformulation of the Thirring model as a gauge theory, we consider the bosonization of the $D$-dimensional multiflavor massive Thirring model $(D \ge 2)$ 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 $m \gg 1$ in (2+1) and (1+1) dimensions. Up to the next-to-leading order of $1/m$, we show that the (2+1)-dimensional massive Thirring model is mapped to the Maxwell-Chern-Simons theory and that the (1+1)-dimensional massive Thirring model is equivalent to the massive free scalar field theory. In the process of the bosonization of the Thirring model, we point out the importance of the gauge-invariant formulation. Finally we discuss a possibility of extending this method to the non-Abelian case.

Affiliated with

Also associated with

No associations

Rating

Bosonization and Duality of Massive Thirring Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bosonization and Duality of Massive Thirring Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bosonization and Duality of Massive Thirring Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-518802