Hagen Kleinert
 Professor Dr. Dr. h.c. mult.
Book Nr. 2
GAUGE FIELDS IN CONDENSED MATTER


GAUGE FIELDS IN CONDENSED MATTER
Book 2

Hagen Kleinert

GAUGE FIELDS IN CONDENSED MATTER
Vol. II, STRESSES AND DEFECTS
Differential Geometry, Crystal Melting

pp. 743-1456, World Scientific, Singapore 1989
[ISBN 9971-50-210-0 & 9971-50-210-9 (paperback)]


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This book is the first to develop a unified gauge theory of condensed matter sytems
dominated by vortices or defects and their long-range interactions.
Gauge fields provide the only means of describing these interactions in terms of local fields,
rendering them accessible to standard field theoretic techniques.
Two particularly important examples, superfluid systems and crystals, are treated in great detail.
The theory is developed in close contact with physical phenomena
and evolves naturally from conventional descriptions of the systems.
In addition to gauge fields, the book introduces the important new concept
of disorder fields for ensembles of line-like defects.
The combined field theory allows for a new undertanding of the important
phase transitions superfluid - normal and solid - liquid.
Apart from the above, the book presents the general differential geometry of defects
in spaces with curvature and torsion and establishes contact with the modern theory of gravity with torsion.
This book is written for condensed matter physicists and field theorists.
It can be used as a textbook for a second-year graduate course or as supplementary reading
for courses in the areas of condensed matter and solid state physics, statistical mechanics, and field theory.


© by Hagen Kleinert 2016