This book is an introduction to the Schwinger action principle in
quantum mechanics and quantum field theory, with applications to a
variety of different models including Bose-Einstein condensation,
the Casimir effect and trapped Fermi gases. The book begins with a
brief review of the action principle in classical mechanics and
classical field theory. It then moves on to quantum field theory,
focusing on the effective action method. This is introduced as
simply as possible by using the zero-point energy of the simple
harmonic oscillator as the starting point. The book concludes with
a more complete definition of the effective action, and
demonstrates how the provisional definition used earlier is the
first term in the systematic loop expansion. The renormalization of
interacting scalar field theory is presented to two-loop order.
This book will interest graduate students and researchers in
theoretical physics who are familiar with quantum mechanics.
General
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