Mathematicians Lörinczi (Technical U. of Munich), Fumio Hiroshima (Kyushu U., Japan), and Volker Betz (Warwick U., Britain) present an account of Feynman-Kac-type formulae and their uses in quantum field theory. They cover heuristics and history, probabilistic preliminaries, Feynman-Kac formulae, Gibbs measures associated with Feynman-Kac semigroups, the free Euclidean quantum field and Ornstein-Uhlenbeck processes, the Nelson model by path measures, and the Pauli-Feirz model by path measures. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)