By C.B. Wang

ISBN-10: 3642385648

ISBN-13: 9783642385643

ISBN-10: 3642385656

ISBN-13: 9783642385650

The eigenvalue densities in quite a few matrix types in quantum chromodynamics (QCD) are eventually unified during this booklet through a unified version derived from the integrable platforms. Many new density versions and loose power features are hence solved and awarded. The section transition versions together with serious phenomena with fractional power-law for the discontinuities of the loose energies within the matrix types are systematically labeled by way of a transparent and rigorous mathematical demonstration. The equipment the following will stimulate new learn instructions akin to the $64000 Seiberg-Witten differential in Seiberg-Witten thought for fixing the mass hole challenge in quantum Yang-Mills concept. The formulations and effects will gain researchers and scholars within the fields of section transitions, integrable platforms, matrix types and Seiberg-Witten theory.