This monograph presents recent developments in quantum field theory
at finite temperature. By using Lie groups, ideas from thermal
theory are considered with concepts of symmetry, allowing for
applications not only to quantum field theory but also to transport
theory, quantum optics and statistical mechanics. This includes an
analysis of geometrical and topological aspects of spatially
confined systems with applications to the Casimir effect,
superconductivity and phase transitions. Finally, some developments
in open systems are also considered. The book provides a unified
picture of the fundamental aspects in thermal quantum field theory
and their applications, and is important to the field as a result,
since it combines several diverse ideas that lead to a better
understanding of different areas of physics.
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