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

机译:有限体积二维QED中Dirac变量和高斯约束的零模

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摘要

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.
机译:有限体积QED_(1 + 1)是通过考虑高斯约束的显式解并考虑可能的非平凡边界条件而用狄拉克变量表示的。从而揭示了量规组的固有非平凡拓扑及其零模式残余动力学。拓扑非平凡的规范转换会生成在Coleman基态上方的规范场的集体激发,这些激发完全与局部动力学解耦,后者等效于自由大规模标量场理论。

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