03953nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137040002500172050001100197072001500208072002300223072001400246082001200260100008400272245011100356264004600467300003400513336002600547337002600573338003600599347002400635490009000659505034400749520150201093650001302595650003702608650002002645650009302665650010702758650009202865650012802957710003403085773002003119776003603139776003603175830009003211856004603301912001403347942000703361950004803368999001903416978-0-8176-4608-0DE-He21320181204133001.0cr nn 008mamaa100301s2008 xxu| s |||| 0|eng d a97808176460809978-0-8176-4608-07 a10.1007/978-0-8176-4608-02doi aISI Library, Kolkata 4aQC1-75 7aPH2bicssc 7aSCI0550002bisacsh 7aPH2thema04a5302231 aTarantello, Gabriella.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aSelfdual Gauge Field Vorticesh[electronic resource] :bAn Analytical Approach /cby Gabriella Tarantello. 1aBoston, MA :bBirkhäuser Boston,c2008. aXIV, 325 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aProgress in Nonlinear Differential Equations and Their Applications,x1421-1750 ;v720 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. 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. 0aPhysics. 0aDifferential equations, partial. 0aQuantum theory.14aPhysics, general.0http://scigraph.springernature.com/things/product-market-codes/P0000224aPartial Differential Equations.0http://scigraph.springernature.com/things/product-market-codes/M1215524aQuantum Physics.0http://scigraph.springernature.com/things/product-market-codes/P1908024aTheoretical, Mathematical and Computational Physics.0http://scigraph.springernature.com/things/product-market-codes/P190052 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978081767150108iPrinted edition:z9780817643102 0aProgress in Nonlinear Differential Equations and Their Applications,x1421-1750 ;v7240uhttps://doi.org/10.1007/978-0-8176-4608-0 aZDB-2-SMA cEB aMathematics and Statistics (Springer-11649) c425783d425783