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 …

Asymptotic safety of scalar field theories

DF Litim, MJ Trott - Physical Review D, 2018 - APS
We study 3 d O (N) symmetric scalar field theories using Polchinski's renormalization group.
In the infinite N limit the model is solved exactly including at strong coupling. At short …

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 …

Renormalization-group analysis of the generalized sine-Gordon model and of the Coulomb gas for dimensions

I Nándori, UD Jentschura, K Sailer, G Soff - Physical Review D, 2004 - APS
Renormalization-group (RG) flow equations have been derived for the generalized sine-
Gordon model (GSGM) and the Coulomb gas (CG) in d>~ 3 of dimensions by means of the …

Perturbative versus non-perturbative renormalization

S Hariharakrishnan, UD Jentschura… - Journal of Physics G …, 2024 - iopscience.iop.org
Approximated functional renormalization group (FRG) equations lead to regulator-
dependent beta-functions, in analogy to the scheme-dependence of the perturbative …

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 …

[HTML][HTML] On the renormalization of the bosonized multi-flavor Schwinger model

I Nandori - Physics Letters B, 2008 - Elsevier
The phase structure of the bosonized multi-flavor Schwinger model is investigated by means
of the differential renormalization group (RG) method. In the limit of small fermion mass the …

Renormalization-group analysis of layered sine-Gordon type models

I Nándori, S Nagy, K Sailer, UD Jentschura - Nuclear Physics B, 2005 - Elsevier
We analyze the phase structure and the renormalization group (RG) flow of the generalized
sine-Gordon models with nonvanishing mass terms, using the Wegner–Houghton RG …

Degeneracy induced scaling of the correlation length for periodic models

S Nagy - Nuclear Physics B, 2012 - Elsevier
The broken symmetric phase of scalar models exhibits an infrared fixed point which is
induced by the degenerate effective potential. The definition of the correlation length in the …