TY - BOOK ID - 7764550 TI - Selfdual gauge field vortices : an analytical approach PY - 2008 SN - 0817643109 9786611397401 1281397407 0817646086 PB - Boston : Birkhäuser, DB - UniCat KW - Gauge fields (Physics). KW - Mathematical physics. KW - Quantum theory. KW - Differential equations, Elliptic KW - Differential equations, Partial KW - Differential equations, Nonlinear KW - Gauge fields (Physics) KW - Quantum field theory KW - Mathematics KW - Physical Sciences & Mathematics KW - Calculus KW - Differential equations, Nonlinear. KW - Nonlinear differential equations KW - Fields, Gauge (Physics) KW - Gage fields (Physics) KW - Gauge theories (Physics) KW - Physics. KW - Partial differential equations. KW - Quantum physics. KW - Physics, general. KW - Partial Differential Equations. KW - Quantum Physics. KW - Theoretical, Mathematical and Computational Physics. KW - Nonlinear theories KW - Field theory (Physics) KW - Group theory KW - Symmetry (Physics) KW - Differential equations, partial. KW - Quantum dynamics KW - Quantum mechanics KW - Quantum physics KW - Physics KW - Mechanics KW - Thermodynamics KW - Partial differential equations KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics KW - Physical mathematics UR - https://www.unicat.be/uniCat?func=search&query=sysid:7764550 AB - 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 abelian–Higgs and Yang–Mills models to the Chern–Simons–Higgs 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. ER -