It is true that, in this work, we have been somewhat careless in identifying the SO(5) gauge group of the condensed matter theory
with the SO(4,1) or SO(3,2) gauge groups of the gravity theory; however, we are confident that a more detailed investigation will bear out the correctness of the essential aspects of this approach.
In a revision and English translation of the 2003 Russian edition of a book based on the extended lecture course he has taught since 1991, he sets out the fundamentals for graduate students and young researchers who are working mainly in condensed matter physics, emphasizing the links between quantum field theory and modern condensed matter theory
. His topics include basics of elementary particles, invariant perturbation theory, some applications of quantum electrodynamics, functional integrals; gauge fields, and renormalization.
Cooperative research that will be continued or initiated includes studies on condensed matter theory
, the evolution of geological processes, abating erosion of the global ecology, energy conservation and nuclear reactor safety.