标题： 三维量子场论中的费米子-玻色子映射 显示英文标题

标题： The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory

摘要： 我们通过建立质量Thirring模型与Maxwell-Chern-Simons理论之间的联系，讨论三维空间中的玻色化。 我们证明，在反费米子质量的最低阶下，相应的配分函数之间的恒等式；由此，得出一个适用于比费米子康普顿波长更长尺度的费米子电流的玻色化恒等式。 我们提出了Thirring模型中一个表现出分数统计的非局部算符。 显示英文摘要

摘要： We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fermion current, valid for length scales long compared with the Compton wavelength of the fermion, is inferred. We present a non-local operator in the Thirring model which exhibits fractional statistics.