Results

**1 - 4**of**4**### A NOTE ON THE STANDARD MODEL IN A GRAVITATION FIELD.

, 2006

"... Abstract. The Standard Model of elementary particles is a theory unifying three of the four basic forces of the Nature: electromagnetic, weak, and strong interactions. In this paper we consider the Standard Model in the presence of a classical (nonquantized) gravitation field and apply a bundle appr ..."

Abstract
- Add to MetaCart

(Show Context)
Abstract. The Standard Model of elementary particles is a theory unifying three of the four basic forces of the Nature: electromagnetic, weak, and strong interactions. In this paper we consider the Standard Model in the presence of a classical (nonquantized) gravitation field and apply a bundle approach for describing it. 1. Fermion fields of the Standard Model. Fermion fields of the Standard Model are subdivided into two parts: lepton fields and quark fields. Lepton fields are subdivided into three generations. The first generation is represented by an electron e and an electronic neutrino νe, the second generation is represented by a muon µ and its neutrino νµ, and the third generation is represented by a tauon τ and its neutrino ντ. 1-st generation 2-nd generation 3-rd generation e-neutrino νe µ-neutrino νµ τ-neutrino ντ electron e muon µ tauon τ (1.1) In a similar way, quarks are subdivided into three generations. They are represented in the following table similar to the above table (1.1): 1-st generation 2-nd generation 3-rd generation up-quark u charm-quark c top-quark t down-quark d strange-quark s bottom-quark b (1.2) Leptons participate in electromagnetic and weak interactions. These interactions are described by the U(1)×SU(2) symmetry which is spontaneously broken according to the Higgs mechanism. Moreover, they break the chiral symmetry on the level of Dirac spinors. This symmetry is often called the left-to-right symmetry, but we prefer to say the chiral-to-antichiral symmetry or simply the chiral symmetry (see some details in [1]). We distinguish between lepton wave functions by mens of the generation index enclosed into square brackets: ψ[e], ψ[µ], ψ[τ]. (1.3)

### THE HIGGS FIELD CAN BE EXPRESSED THROUGH THE LEPTON AND QUARK FIELDS.

, 2007

"... Abstract. The Higgs field is a central point of the Standard Model supplying masses to other fields through the symmetry breaking mechanism. However, it is associated with an elementary particle which is not yet discovered experimentally. In this short note I suggest a way for expressing the Higgs f ..."

Abstract
- Add to MetaCart

(Show Context)
Abstract. The Higgs field is a central point of the Standard Model supplying masses to other fields through the symmetry breaking mechanism. However, it is associated with an elementary particle which is not yet discovered experimentally. In this short note I suggest a way for expressing the Higgs field through other fields of the Standard Model. If this is the case, being not an independent field, the Higgs field does not require an elementary particle to be associated with it. 1. Matter fields of the Standard Model. At the present moment the Standard Model is a commonly admitted and to a sufficient extent experimentally confirmed theory describing the electromagnetic, weak, and strong interactions. Elementary particles in the Standard Model are represented by matter fields. They include the lepton fields ◦ ψa 111111[i], • ψaα 111[i] and ψ aβ

### D Hermitian metric tensor SUM (0, 1|0, 1)

, 2006

"... Abstract. The Standard Model of the theory of elementary particles is based on the U(1) × SU(2) × SU(3) symmetry. In the presence of a gravitation field, i.e. in a non-flat space-time manifold, this symmetry is implemented through three special vector bundles. Connections associated with these vec ..."

Abstract
- Add to MetaCart

Abstract. The Standard Model of the theory of elementary particles is based on the U(1) × SU(2) × SU(3) symmetry. In the presence of a gravitation field, i.e. in a non-flat space-time manifold, this symmetry is implemented through three special vector bundles. Connections associated with these vector bundles are studied in this paper. In the Standard Model they are interpreted as gauge fields. 1. The Uand SU-bundles and their basic fields. In its canonical form the Standard Model describes elementary particles in the flat Minkowski space-time (see [1–6]). When passing to a non-flat space-time M we introduce three special vector bundles UM, SUM, and SUM, each equipped with its own basic tensorial fields (see [7]). They are listed in the following table:

### The textbook

"... Sharipov R. A. Foundations of geometry for university students and high-school students. The textbook — Ufa, 1998. — 220 pages — ISBN 5-7477-02494-1. This book is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students ..."

Abstract
- Add to MetaCart

Sharipov R. A. Foundations of geometry for university students and high-school students. The textbook — Ufa, 1998. — 220 pages — ISBN 5-7477-02494-1. This book is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for deeper learning the elementary geometry. It can also be used in mathematics coteries and self-education groups. In preparing Russian edition of this book I used computer typesetting on the base of AMS-TEX package and I used Cyrillic fonts of Lh-family distributed by CyrTUG association of Cyrillic TEX users. English edition is also typeset by AMS-TEX.