Non-perturbative renormalization flow in quantum field theory and statistical physics
We review the use of an exact renormalization group equation in quantum field theory and
statistical physics. It describes the dependence of the free energy on an infrared cutoff for the …
statistical physics. It describes the dependence of the free energy on an infrared cutoff for the …
Fundamentals of the exact renormalization group
OJ Rosten - Physics Reports, 2012 - Elsevier
Various aspects of the Exact Renormalization Group (ERG) are explored, starting with a
review of the concepts underpinning the framework and the circumstances under which it is …
review of the concepts underpinning the framework and the circumstances under which it is …
Aspects of the functional renormalisation group
JM Pawlowski - Annals of Physics, 2007 - Elsevier
We discuss structural aspects of the functional renormalisation group. Flows for a general
class of correlation functions are derived, and it is shown how symmetry relations of the …
class of correlation functions are derived, and it is shown how symmetry relations of the …
Lectures on the functional renormalization group method
J Polonyi - Central European Journal of Physics, 2003 - Springer
These introductory notes are about functional renormalization group equations and some of
their applications. It is emphasised that the applicability of this method extends well beyond …
their applications. It is emphasised that the applicability of this method extends well beyond …
Lectures on renormalization and asymptotic safety
S Nagy - Annals of Physics, 2014 - Elsevier
A short introduction is given on the functional renormalization group method, putting
emphasis on its nonperturbative aspects. The method enables to find nontrivial fixed points …
emphasis on its nonperturbative aspects. The method enables to find nontrivial fixed points …
Interplay of spin waves and vortices in the two-dimensional XY model at small vortex-core energy
The Berezinskii-Kosterlitz-Thouless (BKT) mechanism describes universal vortex unbinding
in many two-dimensional systems, including the paradigmatic XY model. However, most of …
in many two-dimensional systems, including the paradigmatic XY model. However, most of …
Nonperturbative renormalization group treatment of amplitude fluctuations for| φ| 4 topological phase transitions
The study of the Berezinskii-Kosterlitz-Thouless transition in two-dimensional| φ| 4 models
can be performed in several representations, and the amplitude-phase (AP) Madelung …
can be performed in several representations, and the amplitude-phase (AP) Madelung …
Functional renormalization group approach to the sine-Gordon model
The renormalization group flow is presented for the two-dimensional sine–Gordon model
within the framework of the functional renormalization group method by including the wave …
within the framework of the functional renormalization group method by including the wave …
Spontaneous symmetry breaking and optimization of functional renormalization group
The requirement for the absence of spontaneous symmetry breaking in the d= 1 dimension
has been used to optimize the regulator dependence of functional renormalization group …
has been used to optimize the regulator dependence of functional renormalization group …
Truncation effects in the functional renormalization group study of spontaneous symmetry breaking
A bstract We study the occurrence of spontaneous symmetry breaking (SSB) for O (N)
models using functional renormalization group techniques. We show that even the local …
models using functional renormalization group techniques. We show that even the local …