Partition function of a chiral boson on a 2-torus from the Floreanini-Jackiw Lagrangian

Wei Ming Chen, Pei Ming Ho, Hsien Chung Kao, Fech Scen Khoo, Yutaka Matsuo

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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 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.

Original languageEnglish
Article number033B02
JournalProgress of Theoretical and Experimental Physics
Volume2014
Issue number3
DOIs
Publication statusPublished - 2014 Mar

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Partition function of a chiral boson on a 2-torus from the Floreanini-Jackiw Lagrangian. / Chen, Wei Ming; Ho, Pei Ming; Kao, Hsien Chung; Khoo, Fech Scen; Matsuo, Yutaka.

In: Progress of Theoretical and Experimental Physics, Vol. 2014, No. 3, 033B02, 03.2014.

Research output: Contribution to journalArticle

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