by Hilegard Meyer-Ortmanns and Thomas Reisz, World Scientific. Hardback ISBN 9789810234416 £71 ($131).
The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as reached in the early universe or in heavy-ion collisions in modern laboratory experiments. This book cover the various analytical and numerical tools needed to study this phase structure. These include convergent and asymptotic expansions in strong and weak couplings, dimensional reduction, renormalization group studies, gap equations, Monte Carlo simulations with and without fermions, finite-size and finite-mass scaling analyses, and the approach of effective actions as a supplement to first-principle calculations.