Partition function of a chiral boson on a 2-torus from the FloreaniniJackiw Lagrangian
- Chen, Wei-MingDepartment of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 106, Taiwan, ROC
- Ho, Pei-Ming(Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 106, Taiwan, ROC)
- Kao, Hsien-chung(Physics Department, National Taiwan Normal University, Taipei 106, Taiwan, ROC)
- Khoo, Fech Scen(Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 106, Taiwan, ROC)
- Matsuo, Yutaka(Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan)
DOIAbstract
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 an auxiliary field. 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
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