Dressed fermions, modular transformations and bosonization in the compactified Schwinger model

作者:Fanuel Michael*; Govaerts Jan
来源:Journal of Physics A-Mathematical and Theoretical, 2012, 45(3): 035401.
DOI:10.1088/1751-8113/45/3/035401

摘要

The celebrated exactly solvable %26apos;Schwinger%26apos; model, namely massless two-dimensional QED, is revisited. The solution presented here emphasizes the non-perturbative relevance of the topological sector through large gauge transformations whose role is made manifest by compactifying space into a circle. Eventually the well-known non-perturbative features and solution of the model are recovered in the massless case. However, the fermion mass term is shown to play a subtle role in order to achieve a physical quantization that accounts for gauge invariance under both small and large gauge symmetries. Quantization of the system follows Dirac%26apos;s approach in an explicitly gauge-invariant way that avoids any gauge-fixing procedure.

  • 出版日期2012-1-27