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We develop a field-theoretical description of dynamical heterogeneities and fluctuations in supercooled liquids close to the (avoided) MCT singularity. Using quasi-equilibrium arguments we eliminate time from the description and we…

Statistical Mechanics · Physics 2011-09-23 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

A disordered spin model suitable for studying inverse freezing in fragile glass-forming systems is introduced. The model is a microscopic realization of the ``random-first order'' scenario in which the glass transition can be either…

Soft Condensed Matter · Physics 2009-11-11 Mauro Sellitto

We use field theoretic renormalization group methods to study the critical behavior of a recently proposed Langevin equation for driven lattice gases under infinitely fast drive. We perform an expansion around the upper critical dimension,…

Statistical Mechanics · Physics 2009-10-31 F. de los Santos , Miguel A. Munoz

A renormalization group (RG) analysis of the superconductive instability of an anisotropic fermionic system is developed at a finite temperature. The method appears a natural generalization of Shankar's approach to interacting fermions and…

Condensed Matter · Physics 2009-10-28 Fabio Siringo , Giuseppe G. N. Angilella , Renato Pucci

New qualitative picture of vortex length-scale dependence has been found in recent electrical transport measurements performed on strongly anisotropic BSCCO single crystals in zero magnetic field. This indicates the need for a better…

High Energy Physics - Theory · Physics 2009-11-11 I. Nandori , K. Sailer

We continue the study of the renormalization group and decoupling of massive fields in curved space, started in the previous article and analyse the higher derivative sector of the vacuum metric-dependent action of the Standard Model. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eduard V. Gorbar , Ilya L. Shapiro

The recent inflow of empirical data about the collective behaviour of strongly correlated biological systems has brought field theory and the renormalization group into the biophysical arena. Experiments on bird flocks and insect swarms…

Statistical Mechanics · Physics 2021-09-09 Andrea Cavagna , Luca di Carlo , Irene Giardina , Tomas S. Grigera , Giulia Pisegna , Mattia Scandolo

The statics of the Fredrickson-Andersen model (FAM) of the liquid-glass transition is solved on the Bethe lattice (BL). The kinetic constraints of the FAM imply on the BL an ergodicity-breaking transition to a (glassy) phase where a…

Disordered Systems and Neural Networks · Physics 2024-10-24 Gianmarco Perrupato , Tommaso Rizzo

In this study, a recently introduced order parameter called the weighted coordination number (WCN) was used to investigate the liquid-liquid (LL) phase separation, indicating temperature-dependent coarsening of the LL interface as a…

Statistical Mechanics · Physics 2026-04-16 Jayme Brickley , Xueyu Song

We study the full class of kinetically constrained models in arbitrary dimension and out of equilibrium, in the regime where the density $q$ of facilitating sites in the equilibrium measure (but not necessarily in the initial measure) is…

Probability · Mathematics 2024-05-29 Ivailo Hartarsky , Fabio Toninelli

While typical theories of atom-light interactions treat the atomic medium as being smooth, it is well-known that microscopic optical effects driven by atomic granularity, dipole-dipole interactions, and multiple scattering can lead to…

Atomic Physics · Physics 2022-02-02 Stefano Grava , Yizun He , Saijun Wu , Darrick E. Chang

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…

Statistical Mechanics · Physics 2009-11-07 Rodolfo Cuerno , Esteban Moro

We consider a binary Lennard-Jones glassformer whose super-Arrhenius dynamics are correlated with the formation of icosahedral structures. Upon cooling these icosahedra organize into mesoclusters. We recast this glassformer as an effective…

Soft Condensed Matter · Physics 2016-01-12 Rhiannon Pinney , Tanniemola B. Liverpool , C. Patrick Royall

This is a lecture note on the renormalization group theory for field theory models based on the dimensional regularization method. We discuss the renormalization group approach to fundamental field theoretic models in low dimensions. We…

Statistical Mechanics · Physics 2018-04-10 Takashi Yanagisawa

This article provides a Wilsonian description of the perturbatively renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772 [hep-th] (Commun. Math. Phys. 330, 581-637). It is a rank-3 model based on the gauge group SU(2),…

High Energy Physics - Theory · Physics 2015-04-14 Sylvain Carrozza

Using renormalized field theory, we examine the dynamics of a growing surface, driven by an obliquely incident particle beam. Its projection on the reference (substrate) plane selects a ``parallel'' direction, so that the evolution equation…

Statistical Mechanics · Physics 2009-11-11 B. Schmittmann , Gunnar Pruessner , H. K. Janssen

The vulcanization transition - the crosslink-density-controlled equilibrium phase transition from the liquid to the amorphous solid state - is explored analytically from a renormalization group perspective. The analysis centers on a minimal…

Disordered Systems and Neural Networks · Physics 2009-10-31 Weiqun Peng , Paul M. Goldbart

We study resistor diode percolation at the transition from the non-percolating to the directed percolating phase. We derive a field theoretic Hamiltonian which describes not only geometric aspects of directed percolation clusters but also…

Statistical Mechanics · Physics 2015-06-24 Olaf Stenull , Hans-Karl Janssen

We apply the functional renormalization group to an Abelian Group Field Theory extended beyond the branched-polymer (melonic) sector by including interactions that are subdominant from a power-counting perspective but enhanced by derivative…

High Energy Physics - Theory · Physics 2026-05-05 Seke Fawaaz Zime Yerima , Vincent Lahoche , Dine Ousmane Samary

We carried out a finite-size scaling analysis of the restricted solid-on-solid version of a recently introduced growth model that exhibits a roughening transition accompanied by spontaneous symmetry breaking. The dynamic critical exponent…

Statistical Mechanics · Physics 2009-10-31 J. Ricardo G. de Mendonca
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