Dirac Variables and Zero Modes of Gauss Constraint in Finite-Volume Two-Dimensional QED

Details Dirac Variables and Zero Modes of Gauss Constraint in Finite-Volume Two-Dimensional QED Dirac Variables and Zero Modes of Gauss Constraint in Finite-Volume Two-Dimensional QED

1998-11-27

arxiv.org/abs/hep-th/9811241v1

Int.J.Mod.Phys. A14 (1999) 3531-3542

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX

Scientific paper

10.1142/S0217751X99001639

The finite-volume QED$_{1+1}$ is formulated in terms of Dirac variables by an explicit solution of the Gauss constraint with possible nontrivial boundary conditions taken into account. The intrinsic nontrivial topology of the gauge group is thus revealed together with its zero-mode residual dynamics. Topologically nontrivial gauge transformations generate collective excitations of the gauge field above Coleman's ground state, that are completely decoupled from local dynamics, the latter being equivalent to a free massive scalar field theory.

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