Perturbative and non-perturbative studies in light-front field theory and operator solutions of some two-dimensional models [Пертурбативные и непертурбативные исследования в теории поля в переменных светового фронта и операторные решения некоторых двумерных моделей] Мартинович Любомир

brief description

Мартинович, Любомир.
Пертурбативные и непертурбативные исследования в теории поля в переменных светового фронта и операторные решения некоторых двумерных моделей = Perturbative and non-perturbative studies in light-front field theory and operator solutions of some two-dimensional models : Perturbative and non-perturbative studies in light-front field theory and operator solutions of some two-dimensional models : диссертация ... доктора физико-математических наук : 01.04.02 / Ľubomír Martinoviĉ; [Место защиты: Объединенный институт ядерных исследований]. - Дубна, 2020. - 173 с. : ил.
Оглавление диссертациидоктор наук Мартинович Любомир
Contents
Contents
Introduction
1 Perturbation theory results
1.1 Infinite-momentum frame, near-light cone and LF perturbation theory: one-loop diagrams
1.2 Forward scattering amplitude in a finite volume
1.3 Vacuum diagrams in LF perturbation theory
1.4 Summary of Chapter
2 Spontaneous symmetry breaking and LF vacuum
2.1 Semiclassical LF picture of spontaneous symmetry breaking in scalar models
2.2 Fermion zero modes and LF symmetry breaking
2.3 Vacuum structure of the LF massive Schwinger model
2.4 Summary of Chapter
3 Hamiltonian treatment of solvable models in the conventional theory
3.1 The gradient-coupling model: SL vs LF solution
3.2 The Thirring model: new aspects
3.3 The Thirring-Wess model: new operator solution
3.4 The operator solution of the Schwinger model: problematic aspects
3.5 Summary of Chapter
4 Solvable models and 2-dimensional massless LF fields
4.1 Massless LF fields in two dimension
4.2 LF bosonization and conformal properties
4.3 Solution of the LF Thirring model
4.4 Solution of the LF Thirring-Wess model
4.5 Operator solution of the LF Schwinger model: preliminary results
4.6 Summary of Chapter
5 Quantum kinks in a non-perturbative DLCQ study
5.1 Classical soliton solutions in SL and LF theory
5.2 Quantum kink states from numerical LF Hamiltonian diagonalization
5.3 Summary of Chapter
Bibliography 152 Appendices
A Field theory in near-light front coordinates
B Light-front perturbation theory
C Constrained variational method in the À04 theory