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To avoid the complicated topology of surviving clusters induced by standard Strong Disorder RG in dimension $d>1$, we introduce a modified procedure called 'Boundary Strong Disorder RG' where the order of decimations is chosen a priori. We…

Disordered Systems and Neural Networks · Physics 2012-10-01 Cecile Monthus , Thomas Garel

We studied the statics and dynamics of elastic manifolds in disordered media with long-range correlated disorder using functional renormalization group (FRG). We identified different universality classes and computed the critical exponents…

Disordered Systems and Neural Networks · Physics 2017-08-23 Andrei A. Fedorenko

If collider experiments demonstrate that the Minimal Supersymmetric Standard Model (MSSM) is a good description of nature at the weak scale, the experimental priority will be the precise determination of superpartner masses. These masses…

High Energy Physics - Phenomenology · Physics 2014-11-21 Marcela Carena , Patrick Draper , Nausheen R. Shah , Carlos E. M. Wagner

Low-energy effective field theory describing a nonrelativistic three-body system is analyzed in the Wilsonian renormalization group (RG) method. No effective auxiliary field (dimeron) that corresponds to two-body propagation is introduced.…

High Energy Physics - Theory · Physics 2013-04-10 Koji Harada , Hirofumi Kubo , Issei Yoshimoto

We investigate the critical behavior that d-dimensional systems with short-range forces and a n-component order parameter exhibit at Lifshitz points whose wave-vector instability occurs in a m-dimensional isotropic subspace of ${\mathbb…

Statistical Mechanics · Physics 2009-11-07 M. Shpot , H. W. Diehl

We study the singularity of the order parameter at the transition between a critical phase and an ordered phase of bond percolation on pointed hierarchical graphs. In pointed hierarchical graphs, the renormalization group (RG) equation…

Statistical Mechanics · Physics 2018-12-21 Tomoaki Nogawa

The real-space renormalization group (RG) treatment of random transverse-field Ising spin chains by Fisher ({\it Phys. Rev. B{\bf 51}, 6411 (1995)}) has been extended into the strongly ordered and strongly disordered Griffiths phases and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ferenc Iglói

Technological progress in material synthesis, as well as artificial realization of condensed matter scenarios via ultra-cold atomic gases in optical lattices or epitaxial growth of thin films, is opening the gate to investigate a plethora…

Superconductivity · Physics 2015-06-17 Christian Platt , Werner Hanke , Ronny Thomale

We propose a renormalization group (RG) approach to compare and collapse eigenvalue densities of random matrix models of complex systems across different system sizes. The approach is to fix a natural spectral scale by letting the model…

Statistical Mechanics · Physics 2026-05-01 Philipp Fleig

It has long been known that particles with short-range repulsive interactions in spatial dimension d=1 form universal quantum liquids in the low density limit: all properties can be related to those of the spinless free Fermi gas. Previous…

Superconductivity · Physics 2011-07-19 Predrag Nikolic , Subir Sachdev

The renormalization-group (RG) flow in the finite-temperature (2+1)-dimensional Georgi-Glashow model is explored. This is done in the limit when the squared electric coupling constant is much larger than the mass of the Higgs field. The…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri Antonov

We investigate convergence of the density matrix renormalization group (DMRG) in the thermodynamic limit for gapless systems. Although the DMRG correlations always decay exponentially in the thermodynamic limit, the correlation length at…

Strongly Correlated Electrons · Physics 2009-10-31 Martin Andersson , Magnus Boman , Stellan Ostlund

Using a functional renormalization group approach we derive the renormalization group (RG) flow of a dissipative variant of the Yukawa-Sachdev-Ye-Kitaev model describing $N$ fermions on a quantum dot which interact via a disorder-induced…

Strongly Correlated Electrons · Physics 2024-04-19 Niklas Cichutek , Andreas Rückriegel , Peter Kopietz

We study the replica field theory which describes the pinning of elastic manifolds of arbitrary internal dimension d in a random potential, with the aim of bridging the gap between mean field and renormalization theory. The full effective…

Condensed Matter · Physics 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese

The renormalisation group (RG) flow on the space of couplings of a simple model with two couplings is examined. The model considered is that of a single component scalar field with $\phi^4$ self interaction coupled, via Yukawa coupling, to…

High Energy Physics - Theory · Physics 2015-06-26 Brian P. Dolan

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…

Statistical Mechanics · Physics 2009-10-31 A. I. Sokolov , K. B. Varnashev

We provide a resolution of one of the long-standing puzzles in the theory of disordered systems. By reformulating the functional renormalization group (FRG) for the critical behavior of the random field Ising model in a superfield…

Statistical Mechanics · Physics 2015-05-27 Matthieu Tissier , Gilles Tarjus

The Anderson impurity model (AIM) has long served as a cornerstone in the study of correlated electron systems. While numerical renormalization group (RG) offers great flexibility for metallic reservoirs, it becomes impossible in an…

Strongly Correlated Electrons · Physics 2025-07-24 Peter Zalom

We analyze renormalization group (RG) flows in two-dimensional quantum field theories in the presence of redundant directions. We use the operator picture in which redundant operators are total derivatives. Our analysis has three levels of…

High Energy Physics - Theory · Physics 2014-02-17 Nicolas Behr , Anatoly Konechny

The fully developed turbulence with weak anisotropy is investigated by means of renormalization group approach (RG) and double expansion regularization for dimensions $d\ge 2$. Some modification of the standard minimal substraction scheme…

Chaotic Dynamics · Physics 2009-11-07 M. Hnatich , E. Jonyova , M. Jurcisin , M. Stehlik
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