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 …

Monte carlo renormalization flows in the space of relevant and irrelevant operators: Application to three-dimensional clock models

H Shao, W Guo, AW Sandvik - Physical Review Letters, 2020 - APS
We study renormalization group flows in a space of observables computed by Monte Carlo
simulations. As an example, we consider three-dimensional clock models, ie, the XY spin …

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 …

Map** a dissipative quantum spin chain onto a generalized Coulomb gas

O Bouverot-Dupuis - arxiv preprint arxiv:2403.06618, 2024 - arxiv.org
An XXZ spin chain at zero magnetization is subject to spatially correlated baths acting as
dissipation. We show that the low-energy excitations of this model are described by a …

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 …

Bosonization and functional renormalization group approach in the framework of

I Nándori - Physical Review D—Particles, Fields, Gravitation, and …, 2011 - APS
Known results on two-dimensional quantum electrodynamics (QED 2) have been used to
study the dependence of functional renormalization group equations on renormalization …

Structure of the broken phase of the sine-Gordon model using functional renormalization

V Pangon - International Journal of Modern Physics A, 2012 - World Scientific
We study in this paper the sine-Gordon model using functional renormalization group at
local potential approximation using different renormalization group (RG) schemes. In d= 2 …

The numerically optimized regulator and the functional renormalization group

IG Márián, UD Jentschura… - Journal of Physics G …, 2014 - iopscience.iop.org
We aim to optimize the functional form of the compactly supported smooth (CSS) regulator
within the functional renormalization group (RG), in the framework of bosonized two …

Massless fermions in multiflavor

S Nagy - Physical Review D—Particles, Fields, Gravitation, and …, 2009 - APS
The ground state of the multiflavor two-dimensional quantum electrodynamics is determined
in the presence of finite baryon density, and it is shown that the model possesses two …