Published December 2006 | Version v1
Journal article Metadata-only

QCD Sum Rules: From Quantum-Mechanical Oscillator to Pion Structure in QCD

Creators

  • 1. Bogoliubov Laboratory of Theoretical Physics, JINR 141980 Dubna, Moscow Region (Joint Institute for Nuclear Research (JINR))

Description

We illustrate the general scheme of the Sum Rule (SR) method using 2D Quantum Harmonic Oscillator (2DQHO) as a toy model. We introduce correlator, related to Green function of 2DQHO, and describe the property of Asymptotic Freedom for 2DQHO.We explain how the duality conception allows one to describe excited states. Finally we present numerical results and extract some lessons to learn from our exposition. Then we switch to the QCD and show that QCD SRs supply us the method to study hadrons in non-perturbative QCD. (author)

Additional details

Additional titles

Augmented title (English)
PACS numbers: 11.55.Hx, 12.38.Lg

Identifiers

URL
https://www.actaphys.uj.edu.pl/fulltext?series=Reg&vol=37&page=3603;

Publishing Information

Journal Title
Acta Physica Polonica. Series B
Journal Volume
B37
Journal Issue
12
Journal Page Range
p. 3603-3625
ISSN
0587-4254

Conference

Title
46. Cracow School of Theoretical Physics
Dates
23 May - 5 Jun 2006
Place
Zakopane (Poland)

INIS

Country of Publication
Poland
Country of Input or Organization
Poland
INIS RN
38025731
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
CHARGED CURRENTS; COMPUTER CALCULATIONS; EXCITED STATES; HADRONS; HARMONIC OSCILLATOR MODELS; LORENTZ INVARIANCE; PIONS MINUS; PIONS PLUS; QUANTUM CHROMODYNAMICS; QUANTUM MECHANICS; RHO-770 MESONS; SPECTRAL DENSITY; SUM RULES
Descriptors DEC
ALGEBRAIC CURRENTS; BOSONS; CURRENTS; ELEMENTARY PARTICLES; ENERGY LEVELS; EQUATIONS; FIELD THEORIES; FUNCTIONS; HADRONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MECHANICS; MESONS; PIONS; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; SPECTRAL FUNCTIONS; VECTOR MESONS

Optional Information

Contract/Grant/Project number
Grant 2006; Grant 06-02-16215
Notes
34 refs., 12 figs.
Funding organization
Heisenberg andau Programme (International Organisation without Location); Russian Foundation for Fundamental Research (Russian Federation)