The Yukawa Model in One Space - One Time Dimensions
High Energy Physics - Theory
2018-11-15 v2 Mathematical Physics
math.MP
Abstract
The Yukawa Model is revisited in one space - one time dimensions in an approach completely different to those available in the literature. We show that at the classical level it is a constrained system. We apply the Dirac method of quantization of constrained systems. Then by means of the bosonization procedure we uniformize the Hamiltonian at the quantum level in terms of a pseudo-scalar field and the chiral components of a real scalar field.
Cite
@article{arxiv.1608.03504,
title = {The Yukawa Model in One Space - One Time Dimensions},
author = {Laure Gouba},
journal= {arXiv preprint arXiv:1608.03504},
year = {2018}
}
Comments
6 pages, to appear in "Mathematical Structures and Applications, Eds. B. Toni and T. Diagana, Springer STEAM-H series" (In honor of Professor Mahouton Norbert Hounkonnou)