The subject of the exact renormalization group started from pioneering work by Wegner and Houghton in the early seventies and, a decade later, by Polchinski, who formulated the Wilson renormalization group for field theory. In the past decade considerable progress has been made in this field, which includes the development of alternative formulations of the approach and of powerful techniques for solving the exact renormalization group equations, as well as widening of the scope of the exact renormalization group method to include fermions and gauge fields. In particular, two very recent results, namely the manifestly gauge-invariant formulation of the exact renormalization group equation and the proof of the c-theorem in four dimensions, are presented in this volume.
Contents:
- The Exact Renormalization Group, and a Manifestly Gauge Invariant Version (T R Morris)
- Flow Equations for Phase Transitions in Statistical Physics and QCD (D-U Jungnickel & C Wetterich)
- Realization of Symmetries and the c-Theorem (S Forte & J I Latorre)
- The Density Matrix Renormalization Group, Quantum Groups and Conformal Field Theory (G Sierra & M A Martín-Delgado)
- Wilsonian Effective Action with an Auxiliary Field for the Field Strength (U Ellwanger)
- Supersymmetric Gauge Theories in the Exact Renormalization Group Approach (F Vian)
- Polchinski ERG Equation and 2D Scalar Field Theory (Y Kubyshin et al.)
- On Gauge Invariant Wilsonian Flows (D F Litim & J M Pawlowski)
- Non-Perturbative Analysis of Chiral Critical Behavior in QED (J-I Sumi)
- Non-Perturbative Renormalization Group and Quantum Tunnelling (A Horikoshi)
- The Modular and Renormalisation Groups in the Quantum Hall Effect (B P Dolan)
- Two-Loop QCD Vertices, WST Identities and RG Quantities (A I Davydychev et al.)
Readership: Graduate students and researchers specializing in field theory and its applications in high-energy and condensed-matter physics.
