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Bound and Resonant States in QCD and QED

General data

Course ID: 1102-683
Erasmus code / ISCED: 13.205 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0533) Physics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
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) Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.

view allocation of credits
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.

This course is not currently offered.
Course descriptions are protected by copyright.
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