Self-dual Gauge Field Vortices: An Analytical Approach Export

@book{citeulike:5046538, abstract = {In modern theoretical physics, gauge field theories are of great importancesince they keep internal symmetries and account for phenomena such asspontaneous symmetry breaking, the quantum Hall effect, chargefractionalization, superconductivity and supergravity. This monographdiscusses specific examples of selfdual gauge field structures, including theChern–Simons model, the abelian–Higgs model, and Yang–Mills gauge fieldtheory.The author builds a foundation for gauge theory and selfdual vortices byintroducing the basic mathematical language of gauge theory and formulatingexamples of Chern–Simons–Higgs theories (in both abelian and non-abeliansettings). Thereafter, the electroweak theory and self-gravitating electroweakstrings are examined. The final chapters treat elliptic problems involvingChern–Simmons models, concentration-compactness principles, andMaxwell–Chern–Simons vortices.Many open questions still remain in the field and are examined in this work inconnection with Liouville-type equations and systems. The goal of this text isto form an understanding of selfdual solutions arising in a variety ofphysical contexts and thus is ideal for graduate students and researchersinterested in partial differential equations and mathematical physics.}, author = {Tarantello, Gabriella}, citeulike-article-id = {5046538}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0817643109}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0817643109}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0817643109}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/0817643109}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/0817643109/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0817643109}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/0817643109}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN0817643109}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=0817643109&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/0817643109}, day = {01}, edition = {1}, howpublished = {Hardcover}, isbn = {0817643109}, keywords = {gauge\_field\_vortices}, month = {May}, posted-at = {2009-07-03 14:46:51}, priority = {2}, publisher = {Birkh\"{a}user Boston}, title = {Self-dual Gauge Field Vortices: An Analytical Approach}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0817643109}, year = {2008} }

TY - BOOK ID - citeulike:5046538 L3 - citeulike-article-id:5046538 N2 - In modern theoretical physics, gauge field theories are of great importancesince they keep internal symmetries and account for phenomena such asspontaneous symmetry breaking, the quantum Hall effect, chargefractionalization, superconductivity and supergravity. This monographdiscusses specific examples of selfdual gauge field structures, including theChern–Simons model, the abelian–Higgs model, and Yang–Mills gauge fieldtheory.The author builds a foundation for gauge theory and selfdual vortices byintroducing the basic mathematical language of gauge theory and formulatingexamples of Chern–Simons–Higgs theories (in both abelian and non-abeliansettings). Thereafter, the electroweak theory and self-gravitating electroweakstrings are examined. The final chapters treat elliptic problems involvingChern–Simmons models, concentration-compactness principles, andMaxwell–Chern–Simons vortices.Many open questions still remain in the field and are examined in this work inconnection with Liouville-type equations and systems. The goal of this text isto form an understanding of selfdual solutions arising in a variety ofphysical contexts and thus is ideal for graduate students and researchersinterested in partial differential equations and mathematical physics. SN - 0817643109 TI - Self-dual Gauge Field Vortices: An Analytical Approach PB - Birkhäuser Boston KW - gauge_field_vortices AU - Tarantello, Gabriella PY - 2008/05/01/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0817643109 ER -