Date of this Version
Physical Review Letters
We extend an existing Bose-Fermi equivalence formula to two-dimensional Euclidean space-times with arbitrary compact topology. The result relates the nonchiral Dirac partition function to that of a scalar field, times a theta function. The proof is a short application of methods from complex geometry and Quillen's determinant constructions.
Bost, J. B., & Nelson, P. C. (1986). Spin-1/2 Bosonization on Compact Surfaces. Physical Review Letters, 57 795-798. http://dx.doi.org/10.1103/PhysRevLett.57.795
Date Posted: 01 May 2017
This document has been peer reviewed.