SNAPSHOTS OF HADRONS - OR THE STORY OF HOW THE VACUUM MEDIUM DETERMINES THE PROPERTIES OF THE CLASSICAL MESONS WHICH ARE PRODUCED, LIVE ANDDIE IN THE QCD VACUUM
M. Shifman, SNAPSHOTS OF HADRONS - OR THE STORY OF HOW THE VACUUM MEDIUM DETERMINES THE PROPERTIES OF THE CLASSICAL MESONS WHICH ARE PRODUCED, LIVE ANDDIE IN THE QCD VACUUM, Progress of theoretical physics. Supplement, (131), 1998, pp. 1-71
I discuss the modern development of the analytic methods in the theory
of hadrons. These methods are based on the operator product expansion
and ascend to the SVZ sum rules elaborated 20 years ago. They allow o
ne to relate a large variety of properties of the low-lying hadronic s
tates and important regularities established in the hadronic world to
a few vacuum condensates parametrizing the vacuum of quantum chromodyn
amics. A significant progress took place in deeper understanding of bo
th, the conceptual foundations of the method, and its practical implem
entation and limitations. I review, from the modern standpoint, novel
ideas of the QCD vacuum, various aspects of the operator product expan
sion, new applications of the SVZ sum rules, and their role among othe
r competing approaches in the theory of hadrons.