Theta-Vacuum of the Bosonized Massive Light-Front Schwinger Model

Abstract

The massive Schwinger model in bosonic representation is quantized on the light front using the Dirac--Bergmann method. The non-perturbative theta- vacuum in terms of coherent states of the gauge-field zero mode is derived and found to coincide with the massless case. On the other hand, the mass term becomes highly non-linear due to the constrained zero mode of the scalar field. A non-trivial mixing between the normal-mode and zero-mode sectors of the model is crucial for the correct calculation of the theta-dependence of the leading order mass correction to the chiral condensate.

9 pages, LaTeX

References in corpus (2)

• Massive Schwinger model within mass perturbation theory
• Effect of Zero Modes on the Bound-State Spectrum in Light-Cone Quantisation

Cited by in corpus (9)

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• Calculations with DLCQ
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• Cancellation of Infrared divergences to all orders in LFQED
• Restoration and Dynamical Breakdown of the ϕ\to -ϕSymmetry in the (1+1)-dimensional Massive sine-Gordon Field Theory
• Scalar theories and symmetry breaking in the light-front coupled-cluster method
• Application of Coherent State Approach for the cancellation of Infrared divergences to all orders in LFQED