New applications of the renormalization group method in physics -- a brief introduction
arXiv:1102.5717 · doi:10.1098/rsta.2011.0117
Abstract
The renormalization group method developed by Ken Wilson more than four decades ago has revolutionized the way we think about problems involving a broad range of energy scales such as phase transitions, turbulence, continuum limits and bifurcations in dynamical systems. The theme issue provides articles reviewing recent progress made using the renormalization group method in atomic, condensed matter, nuclear and particle physics. In the following we introduce these articles in a way that emphasizes common themes and the universal aspects of the method.
Introduction for a theme issue of the Phil. Trans. A
References in corpus (14)
- The electronic properties of graphene
- Holographic and Wilsonian Renormalization Groups
- Renormalisation group and the Planck scale
- Simple Viscous Flows: from Boundary Layers to the Renormalization Group
- Conformal Dynamics for TeV Physics and Cosmology
- Fixed Points of Quantum Gravity and the Renormalisation Group
- Efimov physics from a renormalization group perspective
- Nonlinear Aspects of the Renormalization Group Flows of Dyson's Hierarchical Model
- Renormalization Group Functional Equations
- The renormalisation group and nuclear forces
- Lattice studies of QCD-like theories with many fermionic degrees of freedom
- Complex RG flows for 2D nonlinear O(N) sigma models
- Renormalization group flow equations with full momentum dependence
- Functional renormalization for the BCS-BEC crossover
Cited by in corpus (8)
- Exact blocking formulas for spin and gauge models
- Infrared fixed point in quantum Einstein gravity
- Accurate exponents from approximate tensor renormalizations
- The Similarity Renormalization Group for Three-Body Interactions in One Dimension
- Functional renormalization flow and dynamical chiral symmetry breaking of QCD
- New fixed points of the renormalisation group for two-body scattering
- Intermediate effective interactions and dynamical fermion mass generation of QCD
- A Hierarchical Finite Element Method for Quantum Field Theory