03910nam 2200673 a 450 991045087700332120200520144314.01-281-39740-797866113974010-8176-4608-610.1007/978-0-8176-4608-0(CKB)1000000000406604(EBL)364608(OCoLC)443675837(SSID)ssj0000243772(PQKBManifestationID)11200441(PQKBTitleCode)TC0000243772(PQKBWorkID)10160188(PQKB)10727919(DE-He213)978-0-8176-4608-0(MiAaPQ)EBC364608(PPN)125216742(Au-PeEL)EBL364608(CaPaEBR)ebr10223282(CaONFJC)MIL139740(EXLCZ)99100000000040660420081027d2008 uy 0engur|n|---|||||txtccrSelfdual gauge field vortices[electronic resource] an analytical approach /Gabriella Tarantello1st ed. 2008.Boston Birkhäuser20081 online resource (336 p.)Progress in nonlinear differential equations and their applications ;v. 72Description based upon print version of record.0-8176-4310-9 Includes bibliographical references and index.Selfdual Gauge Field Theories -- Elliptic Problems in the Study of Selfdual Vortex Configurations -- Planar Selfdual Chern–Simons Vortices -- Periodic Selfdual Chern–Simons Vortices -- The Analysis of Liouville-Type Equations With Singular Sources -- Mean Field Equations of Liouville-Type -- Selfdual Electroweak Vortices and Strings.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.Progress in nonlinear differential equations and their applications ;v. 72.Gauge fields (Physics)Differential equations, NonlinearElectronic books.Gauge fields (Physics)Differential equations, Nonlinear.515.355515/.3533530.1435Tarantello Gabriella503611MiAaPQMiAaPQMiAaPQBOOK9910450877003321Selfdual gauge field vortices717363UNINA