Classical field theory predicts how physical fields interact with
matter, and is a logical precursor to quantum field theory. This
introduction focuses purely on modern classical field theory,
helping graduates and researchers build an understanding of
classical field theory methods before embarking on future studies
in quantum field theory. It describes various classical methods for
fields with negligible quantum effects, for instance
electromagnetism and gravitational fields. It focuses on solutions
that take advantage of classical field theory methods as opposed to
applications or geometric properties. Other fields covered includes
fermionic fields, scalar fields and Chern-Simons fields. Methods
such as symmetries, global and local methods, Noether theorem and
energy momentum tensor are also discussed, as well as important
solutions of the classical equations, in particular soliton
solutions.
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