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The Ginzburg-Landau phase transition model is considered in d=4-epsilon dimensions within the renormalization group (RG) approach. The problem of existence of the non-Gaussian fixed point is discussed. An equation is derived from the first…

统计力学 · 物理学 2007-05-23 J. Kaupuzs

We consider renormalization group (RG) transformations for classical Ising-type lattice spin systems in the infinite volume limit. Formally, the RG maps a Hamiltonian H into a renormalized Hamiltonian H': exp(-H'(\sigma'))=\sum_\sigma…

数学物理 · 物理学 2012-05-04 Mei Yin

We apply the Nozieres-Gallet dynamic renormalization group (RG) scheme to a continuum equilibrium model of a d-dimensional surface relaxing by linear surface tension and linear surface diffusion, and which is subject to a lattice potential…

统计力学 · 物理学 2009-11-07 Rodolfo Cuerno , Esteban Moro

The non-perturbative renormalization group equation for the Wilsonian effective potential is given in a certain simple approximation scheme in order to study chiral symmetry breaking phenomena dynamically induced by strong gauge…

高能物理 - 理论 · 物理学 2009-10-31 Ken-Ichi Aoki , Keiichi Morikawa , Jun-Ichi Sumi , Haruhiko Terao , Masashi Tomoyose

Higher rank symmetry and higher moment conservation have been drawn considerable attention from, e.g., subdiffusive transport to fracton topological order. In this paper, we perform a one-loop renormalization group (RG) analysis and show…

量子气体 · 物理学 2021-12-14 Hongchao Li , Peng Ye

We probe the numerical errors made in renormalization group calculations by varying slightly the rescaling factor of the fields and rescaling back in order to get the same (if there were no round-off errors) zero momentum 2-point function…

高能物理 - 格点 · 物理学 2009-10-31 Y. Meurice , M. B. Oktay

We reconsider the mass spectrum of double sine-Gordon theory where recent semiclassical results called into question the previously accepted picture. We use the Truncated Conformal Space Approach (TCSA) to investigate the claims. We…

高能物理 - 理论 · 物理学 2008-11-26 G. Takacs , F. Wagner

A general and systematic regularization is developed for the exact solitonic form factors of exponential operators in the (1+1)-dimensional sine-Gordon model by analytical continuation of their integral representations. The procedure is…

数学物理 · 物理学 2012-09-21 Tamas Palmai

We construct a gauge invariant regularisation scheme for pure SU(N) Yang-Mills theory in fixed dimension four or less (for N = infinity in all dimensions), with a physical cutoff scale Lambda, by using covariant higher derivatives and…

高能物理 - 理论 · 物理学 2009-11-07 Stefano Arnone , Yuri A. Kubyshin , Tim R. Morris , John F. Tighe

We consider one of the well-known solutions in eleven-dimensional supergravity where the seven-dimensional Einstein space is given by a SO(3)-bundle over the CP^2. By reexaming the AdS_4 supergravity scalar potential, the holographic…

高能物理 - 理论 · 物理学 2009-02-12 Changhyun Ahn

We include spontaneous symmetry breaking into the functional renormalization group (RG) equations for the irreducible vertices of Ginzburg-Landau theories by augmenting these equations by a flow equation for the order parameter, which is…

统计力学 · 物理学 2011-01-07 Andreas Sinner , Nils Hasselmann , Peter Kopietz

We propose a new method to determine the unknown parameter associated to a self-consistent harmonic approximation. We check the validity of our technique in the context of the sine-Gordon model. As a non trivial application we consider the…

高能物理 - 理论 · 物理学 2016-08-16 Aníbal Iucci , Carlos M. Naón

Schr\"odinger equation with potential $-g/r^2$ exhibits a limit cycle, described in the literature in a broad range of contexts using various regularizations of the singularity at $r=0$. Instead, we use the renormalization group…

The detailed analysis of the global structure of the renormalization-group (RG) flow diagram for a model with isotropic and cubic interactions is carried out in the framework of the massive field theory directly in three dimensions (3D)…

统计力学 · 物理学 2008-12-18 Konstantin Varnashev

In this paper we show that the higher currents of the sine-Gordon model are super-renormalizable by power counting in the framework of pAQFT. First we obtain closed recursive formulas for the higher currents in the classical theory and…

数学物理 · 物理学 2023-05-16 Fabrizio Zanello

We analyze the renormalization-group (RG) flows of two effective Lagrangians, one for measurement induced transitions of monitored quantum systems and one for entanglement transitions in random tensor networks. These Lagrangians, previously…

统计力学 · 物理学 2024-09-20 Adam Nahum , Kay Joerg Wiese

A systematic analysis of the Burgers--Kardar--Parisi--Zhang equation in $d+1$ dimensions by dynamic renormalization group theory is described. The fixed points and exponents are calculated to two--loop order. We use the dimensional…

凝聚态物理 · 物理学 2011-12-08 Erwin Frey , Uwe Claus Täuber

We provide a systematic construction for all n-particle form factors of the SU(N)_2/U(1)^{N-1}-homogeneous Sine-Gordon model in terms of general determinant formulae for a huge class of local operators. The ultraviolet limit is carried out…

高能物理 - 理论 · 物理学 2009-10-31 O. A. Castro-Alvaredo , A. Fring

The critical behavior of a model describing phase transitions in 3D antiferromagnets with 2N-component real order parameters is studied within the renormalization-group (RG) approach. The RG functions are calculated in the three-loop order…

统计力学 · 物理学 2009-10-31 A. I. Sokolov , K. B. Varnashev

Form factors in the sinh-Gordon model are studied semiclassically for small values of the parameter $b\sim\hbar^{1/2}$ in the background of a radial classical solution, which describes a heavy exponential operator placed at the origin. For…

高能物理 - 理论 · 物理学 2024-04-08 Michael Lashkevich , Oleg Lisovyy , Tatiana Ushakova