The Yukawa Model in One Space - One Time Dimensions

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.

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)

References in corpus (3)

• Ab Initio Approach to the Non-Perturbative Scalar Yukawa Model
• Higgs-Yukawa model with higher dimension operators via extended mean field theory
• Hermitian vs PT-Symmetric Scalar Yukawa Model

Cited by in corpus (3)

• Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum field theories
• Pseudo-Hermitian approach to Goldstone's theorem in non-Abelian non-Hermitian quantum field theories
• Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory