Lagrangian densities and anomalies on four-dimensional supersymmetric theories
Description
In this thesis the author has classified all BRS invariants for QDS theories. The result is that the non-trivial BRS-invariant functions can be attributed to maximally three classes, which differ by the lowest-homogenity-degree terms in the tensor fields and ghosts. He has proved that in two of these classes all these terms are supplementable. The supplementability of the terms of the third class is dependent on the theory, especially on the constraints. This is demonstrated by means of the minimal supergravity and the globally supersymmetric Yang-Mills theory. For both theories all BRS invariants are explicitely constructed, and the solutions of the consistency equation with ghost numbers 0 and 1 are given. The solutions yield in some cases the supersymmetric generalizations of non-Abelian chiral anomalies. (HSI)
Availability note (English)
Available from TIB Hannover: DB 4237.Abstract (German)
In dieser Arbeit hat der Verfasser alle BRS-Invarianten fueer QDS-Theorien klassifiziert. Das Ergebnis ist, dass die nichttrivialen BRS-invarianten Funktionen maximal drei Klassen zugeordnet werden koennen, welche sich durch die Terme niedrigsten Homogenitaetsgrades in den Tensorfeldern und Geistern unterscheiden. Er hat bewiesen, dass in zwei dieser Klassen alle dieser Terme ergaenzbar sind. Die Ergaenzbarkeit der Terme der dritten Klasse ist von der Theorie abhaengig, insbesondere von den Constraints. Dieses wird demonstriert mittels der minimalen Supergravitation und der global supersymmetrischen Yang-Mills-Theorie. Fuer beide Theorien werden alle BRS-Invarianten explizit konstruiert, und die Loesungen der Konsistenzgleichung mit Geistzahlen 0 und 1 werden angegeben. Die Loesungen liefern in einigen Faellen die supersymmetrischen Verallgemeinerungen nichtabelischer chiraler Anomalien. (HSI)Additional details
Additional titles
- Original title (German)
- Lagrangedichten und Anomalien in vierdimensionalen supersymmetrischen Theorien
Publishing Information
- Imprint Pagination
- 117 p.
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 23019986
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Thesis, Non-conventional Literature
- Descriptors DEI
- ANALYTICAL SOLUTION; EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; FUNCTIONALS; INTEGRALS; LAGRANGIAN FIELD THEORY; LORENTZ GROUPS; LORENTZ INVARIANCE; POLYNOMIALS; SUPERGRAVITY; SUPERSYMMETRY; UNIFIED GAUGE MODELS; YANG-MILLS THEORY
- Descriptors DEC
- FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; POINCARE GROUPS; QUANTUM FIELD THEORY; SYMMETRY; SYMMETRY GROUPS; UNIFIED-FIELD THEORIES