Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian

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.

31 pages, minor modification

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Cited by in corpus (8)

• Scaling of polarization amplitude in quantum many-body systems in one dimension
• Duality and Fluxes in the Sen Formulation of Self-Dual Fields
• Bosonization with a background $U(1)$ gauge field
• Note on the self-duality of gauge fields in topologically nontrivial spacetime
• On chiral bosons in 2D and 6D
• Towards 2+4 formulation of M5-brane
• One-loop effect in the charged 2D black hole near extremality
• A Path Integral for the Chiral-Form Partition Function