1996/10/31 by H. W. Diehl · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #hep-ph
paper · pdf · doi:10.1142/s0217979297001751
published as Int.J.Mod.Phys.B11:3503-3523,1997 · 24 pages, Latex with 2 figures as eps-files and World Scientific stylefile sprocl.sty, minor additions, updates and corrections
arxiv created 1998/01/28 · arxiv updated 2011/04/15
An introduction into the theory of boundary critical phenomena and the application of the field-theoretical renormalization group method to these is given. The emphasis is on a discussion of surface critical behavior at bulk critical points of magnets, binary alloys, and fluids. Yet a multitude of related phenomena are mentioned. The most important distinct surface universality classes that may occur for a given universality class of bulk critical behavior are described, and the respective boundary conditions of the associated field theories are discussed. The short-distance singularities of the order-parameter profile in the diverse asymptotic regimes are surveyed.