The nonperturbative functional renormalization group and its applications
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …
conceptually and as a practical tool to determine the long-distance low-energy properties of …
Critical phenomena and renormalization-group theory
A Pelissetto, E Vicari - Physics Reports, 2002 - Elsevier
We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …
Exact evolution equation for the effective potential
C Wetterich - Physics Letters B, 1993 - Elsevier
We derive a new exact evolution equation for the scale dependence of an effective action.
The corresponding equation for the effective potential permits a useful truncation. This …
The corresponding equation for the effective potential permits a useful truncation. This …
The exact renormalization group and approximate solutions
TR Morris - International Journal of Modern Physics A, 1994 - World Scientific
We investigate the structure of Polchinski's formulation of the flow equations for the
continuum Wilson effective action. Reinterpretations in terms of IR cutoff Green's functions …
continuum Wilson effective action. Reinterpretations in terms of IR cutoff Green's functions …
Non-perturbative renormalization flow in quantum field theory and statistical physics
J Berges, N Tetradis, C Wetterich - Physics Reports, 2002 - Elsevier
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 …
Nonperturbative evolution equation for quantum gravity
M Reuter - Physical Review D, 1998 - APS
A scale-dependent effective action for gravity is introduced and an exact nonperturbative
evolution equation is derived which governs its renormalization group flow. It is invariant …
evolution equation is derived which governs its renormalization group flow. It is invariant …
QCD at finite temperature and density within the fRG approach: an overview
W Fu - Communications in Theoretical Physics, 2022 - iopscience.iop.org
In this paper, we present an overview on recent progress in studies of QCD at finite
temperature and densities within the functional renormalization group (fRG) approach. The …
temperature and densities within the functional renormalization group (fRG) approach. The …
Functional renormalization group approach to correlated fermion systems
Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon
lowering the energy scale, collective phenomena, bound states, and new effective degrees …
lowering the energy scale, collective phenomena, bound states, and new effective degrees …
Optimized renormalization group flows
DF Litim - Physical Review D, 2001 - APS
We study the optimization of exact renormalization group (ERG) flows. We explain why the
convergence of approximate solutions towards the physical theory is optimized by …
convergence of approximate solutions towards the physical theory is optimized by …
Critical exponents of the N-vector model
R Guida, J Zinn-Justin - Journal of Physics A: Mathematical and …, 1998 - iopscience.iop.org
Recently the series for two renormalization group functions (corresponding to the
anomalous dimensions of the fields and) of the three-dimensional field theory have been …
anomalous dimensions of the fields and) of the three-dimensional field theory have been …