This book consists of the lectures for a two-semester course on
quantum field theory, and as such is presented in a quite informal
and personal manner. The course starts with relativistic
one-particle systems, and develops the basics of quantum field
theory with an analysis of the representations of the Poincare
group. Canonical quantization is carried out for scalar, fermion,
Abelian and non-Abelian gauge theories. Covariant quantization of
gauge theories is also carried out with a detailed description of
the BRST symmetry. The Higgs phenomenon and the standard model of
electroweak interactions are also developed systematically.
Regularization and (BPHZ) renormalization of field theories as well
as gauge theories are discussed in detail, leading to a derivation
of the renormalization group equation. In addition, two chapters -
one on the Dirac quantization of constrained systems and another on
discrete symmetries - are included for completeness, although these
are not covered in the two-semester course.
General
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