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This book is an introduction to the field of constrained
Hamiltonian systems and their quantization, a topic which is of
central interest to theoretical physicists who wish to obtain a
deeper understanding of the quantization of gauge theories, such as
describing the fundamental interactions in nature. Beginning with
the early work of Dirac, the book covers the main developments in
the field up to more recent topics, such as the field-antifield
formalism of Batalin and Vilkovisky, including a short discussion
of how gauge anomalies may be incorporated into this formalism. All
topics are well illustrated with examples emphasizing points of
central interest. The book should enable graduate students to
follow the literature on this subject without much problems, and to
perform research in this field.
Based on a two-semester course held at the University of
Heidelberg, Germany, this book provides a solid basis for
postgraduate students wishing to obtain a more profound
understanding of the foundations of Quantum Field Theory. The book
covers a wide spectrum of topics ranging from traditional operator
and modern path integral methods, to different regularization and
renormalization methods, asymptotic behavior of Green functions, a
particular view on the Renormalization Group, and spontaneous
symmetry breaking in effective potentials. Much effort has been
made to present the material in a transparent, detailed and
structured way, which should help the reader to follow the
material.
Based on a two-semester course held at the University of
Heidelberg, Germany, this book provides a solid basis for
postgraduate students wishing to obtain a more profound
understanding of the foundations of Quantum Field Theory. The book
covers a wide spectrum of topics ranging from traditional operator
and modern path integral methods, to different regularization and
renormalization methods, asymptotic behavior of Green functions, a
particular view on the Renormalization Group, and spontaneous
symmetry breaking in effective potentials. Much effort has been
made to present the material in a transparent, detailed and
structured way, which should help the reader to follow the
material.
This book is a survey of methods used in the study of
two-dimensional models in quantum field theory as well as
applications of these theories in physics. It covers the subject
since the first model, studied in the fifties, up to modern
developments in string theories, and includes exact solutions,
non-perturbative methods of study, and nonlinear sigma models.
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