由Floreanini-Jackiw Lagrangian计算2-环面上手征玻色子的配分函数
Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian
摘要：
我们重新讨论了环面上手征玻色子的量子化问题。传统的方法是从非手征玻色子的路径积分中提取手征玻色子的配分函数。相反，我们计算它直接从手征玻色子拉格朗日的Floreanini和Jackiw修改的拓扑项涉及辅助领域。对额外规范对称性规范固定条件的仔细分析再现了自由手征玻色子的正确结果，并且具有适用于更广泛的相互作用手征玻色子理论的优点。
英文摘要：
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.
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