This textbook on nonperturbative phenomena stemmed from the lecture courses given for Ph.D. students at the Graduate Schools of the Universities of Pisa and Heidelberg, as well as at the Technical University of Lisbon, in 2009-2011. It describes in detail confinement and confining strings in the Georgi-Glashow model in three dimensions, as well as in the Abelian Higgs model in four dimensions. A separate part of the book is devoted to the Schwinger formulae, the world-line instantons, and the fermionic spin factor in the context of the world-line effective action.
The book also illustrates some general analogies between quantum field theory and statistical mechanics, and provides an introduction to the Euclidean finite-temperature field theory, the deconfinement phase transitions, the renormalization group, as well as to such subjects as magnetic monopoles, Wilson loops, basics of nonperturbative quantum chromodynamics, anomalies in gauge theories, and instantons in quantum mechanics.
Dmitri Antonov received his Ph.D. in theoretical physics from the Humboldt University of Berlin. He was a member of the Theory Group of the Pisa section of INFN from 1999 till 2004, working further under several research programs in Germany and Portugal. Those included the Helmholtz Alliance Program, as well as the research fellowships of the Alexander von Humboldt Foundation, the European Commission, the German Research Foundation, and the Portuguese Foundation for Science and Technology. He co-/authors more than 50 research articles and several invited reviews on nonperturbative quantum field theory.