Bound and Resonant States in QCD and QED
General data
Course ID: | 1102-683 |
Erasmus code / ISCED: |
13.205
|
Course title: | Bound and Resonant States in QCD and QED |
Name in Polish: | Stany związane i rezonansowe w QCD i w QED |
Organizational unit: | Faculty of Physics |
Course groups: | |
ECTS credit allocation (and other scores): |
(not available)
|
Language: | Polish |
Short description: |
Monographic lecture on the rho and omega resonaces and mesons in QCD |
Full description: |
The main goal in this monographic lecture is to describe such resonaces as the rho and omega mesons in QCD, with the evaluation of their masses, and their half-widths, getting a clue why these widths are so different, while their masses are comparable. The bases of these considerations is the nonperturbative QCD, with the phenomenologically observed quark and gluon condensates. These nonzero values of quark and gluon condensates enable us to understand the permanent confinement of quark and gluons. The profound features of this permanent confinement are: i) the absence of the asymptotic states for separate quarks, and gluons, ii) the presence of the bound systems of the white systems of quarks, antiquarks, and gluons, iii) the lack of any continuum states of systems with any number of quarks, antiquarks and gluons, and iv) the presence of hadron resonances, having the continuum states in the relative motion of hadrons, e.g. the rho meson as the the continuum (resonance) system of two pions. In QED we know the para- and rtho-positronium, with their very small half-widths, in comparison with their large masses. QED is our testing ground of the nonperturbaive field theory without condensates. Both in QED and QCD, though for totally different reasons, the potential between charges in QED, and quarks and antiquarks in QCD has the very same behaviour as "one over distance". The permanent confinement of quarks and gluons has nothing to do with "potewntials" increasing with distance, but originates from the nonperturbative Dyson-Schwinger equations for vertex functions. These nonperturbative Dyson-Schwinger equations are solved algebraically, if the nonzero quark and gluon condensates are taken from the QSD sum rules of Shifman-Veinshtein-Zakharov. Description by J. M. Namyslowski, January 2008 |
Bibliography: |
(in Polish) Ze względu na autorski charakter przedmiotu, dostępne są jedynie materiały przygotowane przez prowadzącego. |
Copyright by University of Warsaw, Faculty of Physics.