+30 210 64 66 118
Save 49%

Topology, Geometry and Gauge Fields: Interactions

9781461428381
Upon request Dispatched within 10 - 15 working days. Ρrovided that there’s sufficient stock at the supplier.
35.00 
List price: 69.00 
You save: 34.00 € (49%)
+
Add to wish list

This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, 2010), of exploring the interrelations between particle physics and topology that arise from their shared notion of a gauge field. The text begins with a synopsis of the geometrical background assumed of the reader (manifolds, Lie groups, bundles, connections, etc.). There follows a lengthy, and somewhat informal discussion of a number of the most basic of the classical gauge theories arising in physics, including classical electromagnetic theory and Dirac monopoles, the Klein-Gordon and Dirac equations and SU(2) Yang-Mills-Higgs theory. The real purpose here is to witness such things as spacetime manifolds, spinor structures, de Rham cohomology, and Chern classes arise of their own accord in meaningful physics. All of these are then developed rigorously in the remaining chapters. With the precise definitions in hand, one can, for example, fully identify magnetic charge and instanton number with the Chern numbers of the bundles on which the charge and instanton live, and uncover the obstruction to the existence of a spinor structure in the form of the second Stiefel-Whitney class. This second edition of the book includes, in an Appendix, a much expanded sketch of Seiberg-Witten gauge theory, including a brief discussion of its origins in physics and its implications for topology. To provide the reader with the opportunity to pause en route and join in the fun, there are 228 exercises, each an integral part of the development and each located at precisely the point at which it can be solved with optimal benefit.

Cover:
Paperback
Edition Number:
2
ISBN:
9781461428381
Pages:
420
Author:
Naber Gregory
Publisher:
SPRINGER
Release Year:
2011

Gregory L. Naber is a Professor in the Department of Mathematics at Drexel University in Philadelphia, PA.

Save 10%
Add to wish list
Save 10%
Add to wish list
Save 10%
Add to wish list
Save 10%
Add to wish list
Save 10%
Games with Codes and Ciphers
8.40 
9.30 
Add to wish list