This textbook grew out of lecture notes the author used in
delivering a quantum field theory (QFT) course for students (both
in high energy physics and condensed matter) who already had an
initial exposure to the subject.It begins with the path integral
method of quantization presented in a systematic and clear-cut
manner. Perturbation theory is generalized beyond tree level, to
include radiative corrections (loops). Renormalization procedures
and the Wilsonian renormalization group (RG flow) are discussed,
asymptotic freedom of non-Abelian gauge theories is derived, and
some applications in Quantum Chromodynamics (QCD) are considered,
with a brief digression into the Standard Model (SM). The SM case
requires a study of the spontaneous breaking of gauge symmetry, a
phenomenon which would be more appropriate to call 'Higgsing of the
gauge bosons.' Other regimes attainable in gauge theories are
explained as well. In the condensed matter part, the Heisenberg and
Ising model are discussed. The present textbook differs from many
others in that it is relatively concise and, at the same time,
teaches students to carry out actual calculations which they may
encounter in QFT-related applications.
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