Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian
High Energy Physics - Theory
2014-05-07 v3
Abstract
We revisit the problem of quantizing a chiral boson on a torus. The conventional approach is to extract the partition function of a chiral boson from the path integral of a non-chiral boson. Instead we compute it directly from the chiral boson Lagrangian of Floreanini and Jackiw modified by topological terms involving auxiliary fields. A careful analysis of the gauge-fixing condition for the extra gauge symmetry reproduces the correct results for the free chiral boson, and has the advantage of being applicable to a wider class of interacting chiral boson theories.
Keywords
Cite
@article{arxiv.1307.2172,
title = {Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian},
author = {Wei-Ming Chen and Pei-Ming Ho and Hsien-chung Kao and Fech Scen Khoo and Yutaka Matsuo},
journal= {arXiv preprint arXiv:1307.2172},
year = {2014}
}
Comments
31 pages, minor modification