Introduction to Effective Field Theory
by C. P. Burgess
Publisher: arXiv 2007
Number of pages: 55
This review summarizes Effective Field Theory techniques, which are the modern theoretical tools for exploiting the existence of hierarchies of scale in a physical problem. The general theoretical framework is described, and explicitly evaluated for a simple model. Power-counting results are illustrated for a few cases of practical interest, and several applications to Quantum Electrodynamics are described.
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by Paul Ginsparg - arXiv
An elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: Conformal theories; Central charge and the Virasoro algebra; Kac determinant and unitarity; etc.
by Gleb Arutyunov - Utrecht University
The author introduces the basic methods of classical field theory and applies them in a variety of physical models. Topics: Lorentz-covariant formulation of electromagnetic theory, advanced radiation problems, the Ginzburg-Landau theory, etc.
by Graeme Segal - Duke University
Contents: Topological field theories (The basic structure, The 'toy model' for a finite group, Open Strings, Area-dependent theories); The Index and Determinant of the Dirac Operator; Braided tensor categories; String algebras.
by Andrew E. Blechman - University of Toronto
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.