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

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

1998-10-05

arxiv.org/abs/hep-th/9810029v1

Phys.Lett. B459 (1999) 186-192

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1016/S0370-2693(99)00636-X

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.

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