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 …

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 …

Anomalous scaling at nonthermal fixed points of the sine-Gordon model

P Heinen, AN Mikheev, T Gasenzer - Physical Review A, 2023 - APS
We extend the theory of nonthermal fixed points to the case of anomalously slow universal
scaling dynamics according to the sine-Gordon model. This entails the derivation of a kinetic …

Functional renormalization group approach to the sine-Gordon model

S Nagy, I Nándori, J Polonyi, K Sailer - Physical Review Letters, 2009 - APS
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 …

Spontaneous symmetry breaking and optimization of functional renormalization group

I Nándori, IG Márián, V Bacsó - Physical Review D, 2014 - APS
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 …

Comparison of renormalization group schemes for sine-Gordon-type models

I Nándori, S Nagy, K Sailer, A Trombettoni - Physical Review D—Particles …, 2009 - APS
The scheme dependence of the renormalization group (RG) flow has been investigated in
the local potential approximation for two-dimensional periodic, sine-Gordon type field …

Critical exponents of the model in the infrared limit <?format ?>from functional renormalization

S Nagy - Physical Review D—Particles, Fields, Gravitation, and …, 2012 - APS
We determined the critical exponent ν of the scalar O (N) model with a strategy based on the
definition of the correlation length in the infrared limit. The functional renormalization group …

Quantum censorship in two dimensions

V Pangon, S Nagy, J Polonyi, K Sailer - Physics Letters B, 2010 - Elsevier
It is pointed out that increasingly attractive interactions, represented by partially concave
local potential in the Lagrangian, may lead to the degeneracy of the blocked, renormalized …

Functional renormalization group for quantized anharmonic oscillator

S Nagy, K Sailer - Annals of Physics, 2011 - Elsevier
Functional renormalization group methods formulated in the real-time formalism are applied
to the O (N) symmetric quantum anharmonic oscillator, considered as a 0+ 1 dimensional …

Generalized universality in the massive sine-Gordon model

S Nagy, I Nándori, J Polonyi, K Sailer - Physical Review D—Particles, Fields …, 2008 - APS
Generalized universality in the massive sine-Gordon model Page 1 Generalized universality
in the massive sine-Gordon model S. Nagy,1 I. Nándori,2 J. Polonyi,3 and K. Sailer1 …