Abstract
The Dirac method for constrained systems is incomplete for the light-front (LF) quantization of the Yukawa model in D = 1 + 1 dimensions. A novel quantization procedure is proposed, where one obtains the LF commutator and anti-commutators directly from the Heisenberg equations generated by P +, which is a kinematical operator. By adding the general assumptions on the quantum field theory, one evalutes 2-point Wightman functions for a free field case. The Lorentz symmetry is manifest at every step of this novel LF procedure. The Gaussian effective potential is defined with the point-splitting regularization with a space-like separation. The optimum values of the mass parameters are regularization independent.
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Przeszowski, J.A., Żochowski, J. Light-Front Quantization with Explicit Lorentz Symmetry for Yukawa Model. Few-Body Syst 56, 579–585 (2015). https://doi.org/10.1007/s00601-014-0926-z
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DOI: https://doi.org/10.1007/s00601-014-0926-z