This book comprises the lectures of a two-semester course on
quantum field theory, 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 on
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.This second edition includes two
new chapters, one on Nielsen identities and the other on basics of
global supersymmetry. It also includes two appendices, one on
fermions in arbitrary dimensions and the other on gauge invariant
potentials and the Fock-Schwinger gauge.
General
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