The Application of the LightFront TammDancoff Approximation to the Massive Schwinger Model.
Abstract
Lightfront field theory with the TammDancoff approximation is used to study the massive Schwinger model. After making a TammDancoff truncation of Fock space so that no more that four particles are allowed in any state, the coupled lightfront TammDancoff integral equations for charge zero states are solved with basis function techniques, in which the twoparticle and fourparticle amplitudes are expanded in a finite basis. By extending Fock space to the 4particle sector with some appropriate choices of basis functions, I am able to numerically compute spectra and wavefunctions for the first two states of the theory for arbitrary fermion mass. The known results for the ground state are readily reproduced and existing numerical results for the massive model are reproduced and improved. The aim of this work is to explore some basic features associated with the lightfront TammDancoff approach and to develop numerical techniques for the bound state problems of light front field theory.
 Publication:

Ph.D. Thesis
 Pub Date:
 1992
 Bibcode:
 1992PhDT.......202M
 Keywords:

 Physics: Nuclear