Год выпуска: 2012 Автор: Paulus Cahyono Tjiang Издательство: LAP Lambert Academic Publishing Страниц: 104 ISBN: 9783659211850
Описание
This book is about the application of the nonperturbative methods using Schwinger-Dyson equations (SDEs) to study gauge covariance of the fermion-photon vertex in the case of quenched, massless, chirally symmetric quantum electrodynamics (QED). We consider the problem of designing a fermion-photon vertex ansatz to maintain as closely as possible gauge covariance of the SDEs, with three dimensional QED as a test case. Based on the so called transverse condition, we construct a class of vertex ansatze which depends on a single parameter. We use the photon polarization scalar as a test of the gauge covariance of the vertex ansatz. A viable vertex ansatz is obtained, giving a polarization scalar which is close to the one in Landau gauge. The transverse condition itself has been questioned by several people, who claim that the fermion-photon vertex should retain its transverse part in Landau gauge. We explore briefly of how this assertion may affect the result by obtaining the...