Nonperturbative effects by quark condensates and application to the baryon Λ(1405)
Description
In the present thesis the nonperturbative effects by quark condensates were introduced by an approximation for the generating functional. The properties of the mixing of different local operators were generally analyzed. A simplification formula for the symmetric sum of the Dirac matrix products was studied. By this the Fourier transformations of the composite quark propagators were calculated. In the application to the baryon Λ(1405) the baryon operators for the SUsub(f)(3) singlet were expanded in quark fields without and with a derivation. Especially contrarily to other approaches also field operators were regarded which are composed of 4 quarks and one antiquark. The optimal operators were studied in different mixing cases. The operators from 5 quarks the three-quark contribution and the quark-antiquark contribution of which are each a color singlet, flavor octet play a great role. (orig.)
Availability note (English)
Available from library of Heidelberg Univ. (Germany, F.R.).Abstract (German)
In der vorliegenden Arbeit wurden die nichtstoerungstheoretischen Effekte durch Quarkkondensate durch eine Naeherung fuer das erzeugende Funktional eingefuehrt. Die Eigenschaft der Mischung verschiedener lokaler Operatoren wurden allgemein analysiert. Eine Vereinfachungsformel fuer die symmetrische Summe der Dirac-Matrizen-Produkte wurde untersucht. Dadurch wurden die Fouriertransformationen der zusammengesetzten Quarkpropagatoren berechnet. Bei Anwendung auf das Baryon Λ(1405) wurden die Baryonoperatoren fuer SUsub(f)(3)-Singlett nach Quarkfeldern ohne und mit einer Ableitung entwickelt. Insbesondere wurden im Gegensatz zu anderen Ansaetzen auch Feldoperatoren, die aus 4 Quarks und einem Antiquark zusammengesetzt sind, beruecksichtigt. Die optimalen Operatoren wurden in verschiedenen Mischungsfaellen untersucht. Die Operatoren aus 5 Quarks, deren 3-Quarks-Anteil und Quark-Antiquark-Anteil je ein Color-Singlett, Flavour-Oktett sind, spielen eine grosse Rolle. (orig.)Additional details
Additional titles
- Original title (German)
- Nichtstoerungstheoretische Effekte durch Quarkkondensate und Anwendung auf das Baryon Λ(1405)
Publishing Information
- Imprint Pagination
- 90 p.
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 16019632
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Thesis, Non-conventional Literature
- Descriptors DEI
- ANNIHILATION OPERATORS; BARYON OCTETS; BOSE-EINSTEIN CONDENSATION; CONFIGURATION MIXING; CREATION OPERATORS; DIRAC OPERATORS; EXPECTATION VALUE; FACTORIZATION; FERMIONS; FLAVOR MODEL; FOURIER TRANSFORMATION; FUNCTIONALS; LAMBDA-1405 RESONANCES; LIMITING VALUES; LOCALITY; OPTIMIZATION; PROPAGATOR; QUANTUM CHROMODYNAMICS; QUARKS; REST MASS; SERIES EXPANSION; SPINOR FIELDS; SU-3 GROUPS; VACUUM STATES
- Descriptors DEC
- BARYON RESONANCES; BARYONS; COMPOSITE MODELS; ELEMENTARY PARTICLES; FIELD THEORIES; HADRONS; INTEGRAL TRANSFORMATIONS; INTERACTIONS; LIE GROUPS; MASS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MULTIPLETS; PARTICLE MODELS; PARTICLE MULTIPLETS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; QUANTUM OPERATORS; QUARK MODEL; RESONANCE PARTICLES; SU GROUPS; SYMMETRY GROUPS; TRANSFORMATIONS; Y*RESONANCES