LEADER 03910nam 2200673 a 450 001 9910450877003321 005 20200520144314.0 010 $a1-281-39740-7 010 $a9786611397401 010 $a0-8176-4608-6 024 7 $a10.1007/978-0-8176-4608-0 035 $a(CKB)1000000000406604 035 $a(EBL)364608 035 $a(OCoLC)443675837 035 $a(SSID)ssj0000243772 035 $a(PQKBManifestationID)11200441 035 $a(PQKBTitleCode)TC0000243772 035 $a(PQKBWorkID)10160188 035 $a(PQKB)10727919 035 $a(DE-He213)978-0-8176-4608-0 035 $a(MiAaPQ)EBC364608 035 $a(PPN)125216742 035 $a(Au-PeEL)EBL364608 035 $a(CaPaEBR)ebr10223282 035 $a(CaONFJC)MIL139740 035 $a(EXLCZ)991000000000406604 100 $a20081027d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSelfdual gauge field vortices$b[electronic resource] $ean analytical approach /$fGabriella Tarantello 205 $a1st ed. 2008. 210 $aBoston $cBirkha?user$d2008 215 $a1 online resource (336 p.) 225 1 $aProgress in nonlinear differential equations and their applications ;$vv. 72 300 $aDescription based upon print version of record. 311 $a0-8176-4310-9 320 $aIncludes bibliographical references and index. 327 $aSelfdual 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. 330 $aIn modern theoretical physics, gauge field theories are of great importance since they keep internal symmetries and account for phenomena such as spontaneous symmetry breaking, the quantum Hall effect, charge fractionalization, superconductivity and supergravity. This monograph discusses specific examples of gauge field theories that exhibit a selfdual structure. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of the subject and formulating examples ranging from the well-known abelian?Higgs and Yang?Mills models to the Chern?Simons?Higgs theories (in both the abelian and non-abelian settings). Thereafter, the electroweak theory and self-gravitating electroweak strings are also examined, followed by the study of the differential problems that have emerged from the analysis of selfdual vortex configurations; in this regard the author treats elliptic problems involving exponential non-linearities, also in relation to concentration-compactness principles and blow-up analysis. Many open questions still remain in the field and are examined in this comprehensive work in connection with Liouville-type equations and systems. The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts. Selfdual Gauge Field Vortices: An Analytical Approach is ideal for graduate students and researchers interested in partial differential equations and mathematical physics. 410 0$aProgress in nonlinear differential equations and their applications ;$vv. 72. 606 $aGauge fields (Physics) 606 $aDifferential equations, Nonlinear 608 $aElectronic books. 615 0$aGauge fields (Physics) 615 0$aDifferential equations, Nonlinear. 676 $a515.355 676 $a515/.3533 676 $a530.1435 700 $aTarantello$b Gabriella$0503611 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450877003321 996 $aSelfdual gauge field vortices$9717363 997 $aUNINA