Differential Geometry and Mathematical Physics: Part II. by Gerd Rudolph,Matthias Schmidt

adminNuclear Physics

By Gerd Rudolph,Matthias Schmidt

The ebook is dedicated to the research of the geometrical and topological constitution of gauge theories. It comprises the next 3 construction blocks:
- Geometry and topology of fibre bundles,
- Clifford algebras, spin buildings and Dirac operators,
- Gauge theory.
Written within the form of a mathematical textbook, it combines a accomplished presentation of the mathematical foundations with a dialogue of a number of complicated themes in gauge theory.
The first development block features a variety of particular themes, like invariant connections, common connections, H-structures and the Postnikov approximation of classifying spaces.
Given the good significance of Dirac operators in gauge conception, an entire evidence of the Atiyah-Singer Index Theorem is gifted. The gauge conception half comprises the learn of Yang-Mills equations (including the speculation of instantons and the classical balance analysis), the dialogue of assorted versions with topic fields (including magnetic monopoles, the Seiberg-Witten version and dimensional relief) and the research of the constitution of the gauge orbit house. the ultimate bankruptcy is dedicated to components of quantum gauge concept together with the dialogue of the Gribov challenge, anomalies and the implementation of the non-generic gauge orbit strata within the framework of Hamiltonian lattice gauge theory.
The publication is addressed either to physicists and mathematicians. it really is meant to be available to scholars ranging from a graduate level.

Show description

Read Online or Download Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields (Theoretical and Mathematical Physics) PDF

Best nuclear physics books

Compensation Systems for Low Temperature Applications

The current monograph is principally concerned about the behaviour of ductile ma­ terials at cryogenic temperatures, balance matters referring to program of corrugated shells at cryogenic stipulations and reliability orientated parametric optimisation of reimbursement platforms containing the corrugated bellows. As there are fairly few guides on mixed fabric and structural be­ haviour at very low temperatures, the monograph goals at filling this hole.

Theoretische Physik 4: Quantisierte Felder. Von den Symmetrien zur Quantenelektrodynamik (Springer-Lehrbuch) (German Edition)

Dieser Band beginnt mit einer vertieften examine von Symmetrien in der Quantenphysik. Er behandelt Quantenfeldtheorie von skalaren Feldern, Eichbosonen und Fermionen - überwiegend in kanonischer Quantisierung - und ihre Anwendungen auf wichtige elektromagnetische und schwache Prozesse. Die Methode der Feynman-Graphen wird durch viele Beispiele aus der Quantenelektrodynamik und der schwachen Wechselwirkung illustriert, die bis zu den Observablen (Streuquerschnitte oder Zerfallswahrscheinlichkeiten) durchgeführt sind.

EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions (SpringerBriefs in Physics)

This primer develops Conformal box concept (CFT) from scratch, wherein CFT is considered as any conformally-invariant thought that describes a set aspect of a renormalization team movement in quantum box concept. The ebook is split into 4 lectures: Lecture 1 addresses the actual foundations of conformal invariance, whereas Lecture 2 examines the limitations imposed through conformal symmetry at the correlation features of neighborhood operators, offered utilizing the so-called projective null cone – a approach sometimes called the embedding formalism.

Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields (Theoretical and Mathematical Physics)

The ebook is dedicated to the learn of the geometrical and topological constitution of gauge theories. It includes the subsequent 3 construction blocks:- Geometry and topology of fibre bundles,- Clifford algebras, spin buildings and Dirac operators,- Gauge idea. Written within the type of a mathematical textbook, it combines a complete presentation of the mathematical foundations with a dialogue of numerous complex issues in gauge concept.

Extra resources for Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields (Theoretical and Mathematical Physics)

Example text

Download PDF sample

Jorun Lem Book Archive > Nuclear Physics > Differential Geometry and Mathematical Physics: Part II. by Gerd Rudolph,Matthias Schmidt
Rated 4.21 of 5 – based on 27 votes