Scalars Fields in the Nonsymmetric Kaluza-Klein (Jordan-Thiry) Theory

ISBN-13: 9783659844096 / Angielski / Miękka / 2016 / 420 str.

Marek Kalinowski

Opis

In this book we construct the Nonsymmetric Jordan-Thiry Theory unifying N.G.T., the Yang-Mills' field, the Higgs' fields and scalar forces in a geometric manner. In this way we get masses from higher dimensions. We discuss spontaneous symmetry breaking, the Higgs' mechanism and a mass generation in the theory. The scalar field (as in the classical Jordan-Thiry Theory) is connected to the effective gravitational constant. This field is massive and has Yukawa-type behaviour. We discuss the rela- tion between R+ invariance and U(1)F from G.U.T. within Einstein -transformation, and fermion number conservation. In this way we connect W mi -field from N.G.T. with a gauge field AF from G.U.T. We derive the equation of motion for a test particle from conservation laws in the hydrodynamic limit. We consider a truncation procedure for a tower of massive k (or k ) scalar fields using Friedrichs' theory and an approximation procedure for the lagrangian involving Higgs' field . The geodetic equations on the Jordan-Thiry manifold are considered with an emphasis to terms involving Higgs' field.

O autorze

Marek (Wojciech) Kalinowski was born and educated in Poland.He obtained MS degree in physics ,MS degree in mathematics and computer science ,MA degree in philosophy and PhD degree in physics . He published about 150 items ( papers ,books ,preprints ,technical reports ,chapters ) in physics , mathematics ,philosophy and engineering .