Classical Field Theory
by Gleb Arutyunov
Publisher: Utrecht University 2011
Number of pages: 158
The aim of the course is to introduce the basic methods of classical field theory and to apply them in a variety of physical models ranging from classical electrodynamics to macroscopic theory of ferromagnetism. In particular, the course will cover the Lorentz-covariant formulation of Maxwell's electromagnetic theory, advanced radiation problems, the Ginzburg-Landau theory of superconductivity, hydrodynamics of ideal liquids, the Navier-Stokes equation and elements of soliton theory.
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We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagrangian submanifolds in the spirit of topological field theory.
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This text helps students fill the gap of knowledge between the QFT courses students take when they start graduate work in theoretical physics, and actual research. The book covers the basics of vitally important techniques used in modern research.