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 …
Asymptotic safety of scalar field theories
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 …
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
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 …
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
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 …
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 …
dependent beta-functions, in analogy to the scheme-dependence of the perturbative …
The numerically optimized regulator and the functional renormalization group
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 …
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 …
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 …
of the differential renormalization group (RG) method. In the limit of small fermion mass the …
Renormalization-group analysis of layered sine-Gordon type models
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 …
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 …
induced by the degenerate effective potential. The definition of the correlation length in the …