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Field name	Details
Dewey Class	515.355
Title	Selfdual Gauge Field Vortices ([Ebook]) : An Analytical Approach / by Gabriella Tarantello.
Author	Tarantello, Gabriella
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Birkhäuser , 2008.
Physical Details	: online resource.
Series	Progress in nonlinear differential equations and their applications ; 72
ISBN	9780817646080
Summary Note	In modern theoretical physics, gauge field theories are of great importance since they keep internal symmetries and account for phenomena such as spontaneous symmetry breaking, the quantum Hall effect, charge fractionalization, superconductivity and supergravity. This monograph discusses specific examples of gauge field theories that exhibit a selfdual structure. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of the subject and formulating examples ranging from the well-known abelianâHiggs and YangâMills models to the ChernâSimonsâHiggs theories (in both the abelian and non-abelian settings). Thereafter, the electroweak theory and self-gravitating electroweak strings are also examined, followed by the study of the differential problems that have emerged from the analysis of selfdual vortex configurations; in this regard the author treats elliptic problems involving exponential non-linearities, also in relation to concentration-compactness principles and blow-up analysis. Many open questions still remain in the field and are examined in this comprehensive work in connection with Liouville-type equations and systems. The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts. Selfdual Gauge Field Vortices: An Analytical Approach is ideal for graduate students and researchers interested in partial differential equations and mathematical physics.:
Contents note	Preface -- Selfdual Gauge Field Theories -- Elliptic Problems in the Study of Selfdual Vortex Configurations -- Planar Selfdual ChernâSimons Vortices -- Periodic Selfdual ChernâSimons Vortices -- The Analysis of Liouville-type Equations with Singular Sources -- Mean Field Equations of Liouville-type -- Selfdual Electroweak Vortices and Strings -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-4608-0
Links to Related Works	Subject References: Differential equations, Partial . Gauge fields (Physics) . Partial differential equations . Quantum Physics . Quantum theory . Theoretical, Mathematical and Computational Physics . Authors: Tarantello, Gabriella . Corporate Authors: SpringerLink (Online service) . Series: Progress in nonlinear differential equations and their applications . Classification: 515.355 . 515.355 (DDC 23) .

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Selfdual Gauge Field Vortices: An Analytical Approach

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