Mathematical Gauge Theory | Taschenbuch

Cover: 9783319684383 | Mathematical Gauge Theory | Mark J. D. Hamilton | Taschenbuch | xviii

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

96,29 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:

Der Artikel ist nicht in deutscher Sprache verfasst.
Die Sprache der Produktbeschreibung und Details kann in Englisch angegeben sein. Sollten Sie Verständnisprobleme haben, wenden Sie sich gerne an uns.

Beschreibung

The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa.

The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a detailed exposition of how these concepts are applied in physics, concerning topics such as the Lagrangians of gauge and matter fields, spontaneous symmetry breaking, the Higgs boson and mass generation of gauge bosons and fermions. The book also contains a chapter on advanced and modern topics in particle physics, such as neutrino masses, CP violation and Grand Unification. This carefully written textbook is aimed at graduate students of mathematics and physics. It contains numerous examples and more than 150 exercises, making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of differentiable manifolds and special relativity is required, summarized in the appendix.

Über den Autor

Mark Hamilton has worked as a lecturer and interim professor at the University of Stuttgart and the Ludwig-Maximilian University of Munich. His research focus lies on geometric topology and mathematical physics, in particular, the differential topology of 4-manifolds and Seiberg-Witten theory.

Zusammenfassung

Explains the Standard Model to students of both mathematics and physics

Covers both the specific gauge theory of the Standard Model and generalizations

Highly accessible and self-contained

Inhaltsverzeichnis

Part I Mathematical foundations.- 1 Lie groups and Lie algebras: Basic concepts.- 2 Lie groups and Lie algebras: Representations and structure theory.- 3 Group actions.- 4 Fibre bundles.- 5 Connections and curvature.- 6 Spinors.- Part II The Standard Model of elementary particle physics.- 7 The classical Lagrangians of gauge theories.- 8 The Higgs mechanism and the Standard Model.- 9 Modern developments and topics beyond the Standard Model.- Part III Appendix.- A Background on differentiable manifolds.- B Background on special relativity and quantum field theory.- References.- Index.

Erscheinungsjahr:	2018
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Universitext
Inhalt:	xviii 658 S. 40 s/w Illustr. 658 p. 40 illus.
ISBN-13:	9783319684383
ISBN-10:	3319684388
Sprache:	Englisch
Herstellernummer:	978-3-319-68438-3
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Hamilton, Mark J. D.
Auflage:	1st ed. 2017
Hersteller:	Springer International Publishing Springer International Publishing AG Universitext
Maße:	235 x 155 x 37 mm
Von/Mit:	Mark J. D. Hamilton
Erscheinungsdatum:	10.01.2018
Gewicht:	1,007 kg

Ähnliche Produkte