Selfdual Gauge Field Vortices: An Analytical Approach: 72 (Progress in Nonlinear Differential Equations and Their Applications, 72) - Image 1

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Birkhauser Selfdual Gauge Field Vortices: An Analytical Approach: 72 (Progress in Nonlinear Differential Equations and Their Applications, 72)

Name: Selfdual Gauge Field Vortices: An Analytical Approach: 72 (Progress in Nonlinear Differential Equations and Their Applications, 72)
Brand: Birkhauser
Price: 33.79 GBP
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Differential Equations

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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 selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the electroweak theory and self-gravitating electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices. Many open questions still remain in the field and are examined in this 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 and thus is ideal for graduate students and researchers interested in partial differential equations and mathematical physics.

Product Specifications

Brand: Birkhauser
Format: hardcover
ASIN: 0817643109
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 01 May 2008
Listed Since: 13 February 2007

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Birkhauser Selfdual Gauge Field Vortices: An Analytical Approach: 72 (Progress in Nonlinear Differential Equations and Their Applications, 72)

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