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001 978-0-8176-4608-0
003 DE-He213
005 20161121231211.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780817646080
_9978-0-8176-4608-0
024 7 _a10.1007/978-0-8176-4608-0
_2doi
050 4 _aQC1-75
072 7 _aPH
_2bicssc
072 7 _aSCI055000
_2bisacsh
082 0 4 _a530
_223
100 1 _aTarantello, Gabriella.
_eauthor.
245 1 0 _aSelfdual Gauge Field Vortices
_h[electronic resource] :
_bAn Analytical Approach /
_cby Gabriella Tarantello.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2008.
300 _aXIV, 325 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Nonlinear Differential Equations and Their Applications ;
_v72
505 0 _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.
520 _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.
650 0 _aPhysics.
650 0 _aPartial differential equations.
650 0 _aQuantum physics.
650 1 4 _aPhysics.
650 2 4 _aPhysics, general.
650 2 4 _aPartial Differential Equations.
650 2 4 _aQuantum Physics.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817643102
830 0 _aProgress in Nonlinear Differential Equations and Their Applications ;
_v72
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4608-0
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c510024
_d510024