Theta - vacuum of the bosonized massive light front Schwinger model

Oct, 1998
9 pages
Published in:
  • Phys.Lett.B 459 (1999) 186-192
e-Print:

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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.
Note:
  • 9 pages, LaTeX
  • 11.10.Ef
  • 11.15.Tk
  • 11.15-q
  • Schwinger model
  • dimension: 2
  • quantization: light front
  • Hamiltonian formalism
  • bosonization
  • vacuum state: Theta parameter
  • coherent state