2born (2born) wrote,

Bound states -- from QED to QCD

Кажется, интересные лекции: Bound states -- from QED to QCD: http://arxiv.org/abs/1402.5005

These lectures are divided into two parts. In Part 1 I discuss bound state topics at the level of a basic course in field theory: The derivation of the Schr\"odinger and Dirac equations from the QED Lagrangian, by summing Feynman diagrams and in a Hamiltonian framework. Less well known topics include the equal-time wave function of Positronium in motion and the properties of the Dirac wave function for a linear potential. The presentation emphasizes physical aspects and provides the framework for Part 2, which discusses the derivation of relativistic bound states at Born level in QED and QCD. A central aspect is the maintenance of Poincar\'e invariance. The transformation of the wave function under boosts is studied in detail in D=1+1 dimensions, and its generalization to D=3+1 is indicated. Solving Gauss' law for A^0 with a non-vanishing boundary condition leads to a linear potential for QCD mesons, and an analogous confining potential for baryons.
Tags: Мегаучебник или Что я читал и похвалил, наука, разгребая arXiv'ы

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