Topological Solitons

Topological Solitons

4.11 - 1251 ratings - Source



Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.A pure Yang-Mills gauge field in four-dimensional Euclidean space, with coordinates {xI¼ : I¼ = 1, 2, 3, 4}, is self-dual if FI¼I½ = 1 2ImI¼I½IƒI„FIƒI„ , (8.92) where ImI¼I½IƒI„ is the totally antisymmetric tensor in ... can be written alternatively as F4i = 1 2ImijkFjk .


Title:Topological Solitons
Author: Nicholas Manton, Paul Sutcliffe
Publisher:Cambridge University Press - 2004-06-10
ISBN-13:

You must register with us as either a Registered User before you can Download this Book. You'll be greeted by a simple sign-up page.

Once you have finished the sign-up process, you will be redirected to your download Book page.

How it works:
  • 1. Register a free 1 month Trial Account.
  • 2. Download as many books as you like (Personal use)
  • 3. Cancel the membership at any time if not satisfied.


Click button below to register and download Ebook
Privacy Policy | Contact | DMCA