$S^1$上的Schwinger模型：Hamilton表述、真空和反常
The Schwinger model on $S^1$: Hamiltonian formulation, vacuum and anomaly
摘要：
给出了库仑规范中圆上Schwinger模型的哈密顿形式，它是一个在大规范变换模群${\cal M}=\Z$下不变的半有界自伴算符.在费米子Fock空间$\mcH_0$及其真空上存在$\cm$的非平凡作用，它起着类似于无限Dirac海形式中谱流的作用。该配方允许（i）描述的异常和它的关系，这个群体的行动，和（ii）明确识别的相互作用真空后出现的不稳定的非相互作用真空$\mcH_0$。
英文摘要：
We present a Hamiltonian formulation of the Schwinger model on the circle in Coulomb gauge as a semi-bounded self-adjoint operator which is invariant under the modular group ${\cal M}=\Z$ of large gauge transformations. There is a nontrivial action of $\cm$ on fermionic Fock space $\mcH_0$ and its vacuum which plays a role analogous to that of the spectral flow in the formalism involving the infinite Dirac sea. The formulation allows (i) a description of the anomaly and its relation to this group action, and (ii) an explicit identification of the interacting vacuum which arises after the destabilization of the non-interacting vacuum in $\mcH_0$.
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