Selfdual Gauge Field Vortices: An Analytical Approach

  • Gabriella Tarantello
  • Издательство: Birkhauser Boston
  • ISBN: 0817643109
  • Год издания: 2008
  • Кол.страниц: 335
  • Язык: английский
  • Формат: PDF
  • Размер: 1.6 Mb
Gauge Field theories have had a great impact in modern theoretical physics, as they keep internal symmetries and can account for important physical phenomena such as: spontaneous symmetry breaking, the quantum Hall effect, charge fractionalization, superconductivity, and supergravity. In these notes, we focus on specific examples of gauge field theories which admit a selfdual structure when the physical parameters satisfy a “critical” coupling condition that typically identifies a transition between different regimes. The selfdual regime is characterized by the presence of “special” soliton-type solutions corresponding to minimizers of the energy within certain constraints of “topological” nature. Such solutions, known as selfdual solutions, satisfy a set of first-order (selfdual) equations that furnish a “factorization” for the second-order gauge field equations. Furthermore, each class of “topologically equivalent” selfdual solutions form the space of moduli, whose characterization is one of the main objectives in gauge theory.

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