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Related papers: Finite-size-scaling functions for 3d O(4) and O(2)…

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We present model predictions for the spectrum of $CP^{N-1}$ in a periodic box and use them to interpret the strong finite size effects observed in lattice simulations at medium values of $N$. The asymptotic scaling behaviour of alternative…

High Energy Physics - Lattice · Physics 2008-11-26 A. C. Irving , C. Michael

We study the the high spin expansion of the anomalous dimension for long operators belonging to the $sl(2)$ sector of ${\cal N}=4$ SYM. Keeping the ratio $j$ between the twist and the logarithm of the spin fixed, the anomalous dimensions…

High Energy Physics - Theory · Physics 2009-10-02 Davide Fioravanti , Gabriele Infusino , Marco Rossi

Based on the exact solution of the eigenvalue problem for the $U_q[sl(2|1)]$ vertex model built from alternating 3-dimensional fundamental and dual representations by means of the algebraic Bethe ansatz we investigate the ground state and…

Statistical Mechanics · Physics 2015-03-17 Holger Frahm , Marcio J. Martins

We determine the fermion mass dependence of Euclidean finite volume partition functions for three-dimensional QCD in the epsilon-regime directly from the effective field theory of the pseudo-Goldstone modes by using zero-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Richard J. Szabo

In a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the classical non-conservation equations. We apply this…

High Energy Physics - Theory · Physics 2016-12-21 Simone Giombi , Vladimir Kirilin

Using Finite-Size Scaling techniques we obtain accurate results for critical quantities of the Ising model and the site percolation, in three dimensions. We pay special attention in parameterizing the corrections-to-scaling, what is…

Disordered Systems and Neural Networks · Physics 2008-11-26 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

The behavior of the finite-temperature C-function, defined by Neto and Fradkin [Nucl. Phys. B {\bf 400}, 525 (1993)], is analyzed within a d -dimensional exactly solvable lattice model, recently proposed by Vojta [Phys. Rev. B {\bf 53}, 710…

Statistical Mechanics · Physics 2008-11-26 Daniel M. Danchev , Nicholay S. Tonchev

This paper describes the application of finite-size scaling concepts to domain growth in systems with a non-conserved order parameter. A finite-size scaling ansatz for the time-dependent order parameter distribution function is proposed,…

Condensed Matter · Physics 2009-10-22 Nigel. B. Wilding , Christian Muenkel , Dieter W. Heermann

The long-time behaviour of spin-spin correlators in the slow relaxation of systems undergoing phase-ordering kinetics is studied in geometries of finite size. A phenomenological finite-size scaling ansatz is formulated and tested through…

Statistical Mechanics · Physics 2023-03-06 Malte Henkel

We determine the volume and mass dependence of scalar and pseudoscalar two-point functions in N_f-flavour QCD, in the presence of an isospin chemical potential and at fixed gauge-field topology. We obtain these results at second order in…

High Energy Physics - Lattice · Physics 2008-12-25 G. Akemann , F. Basile , L. Lellouch

We confront exact analytical predictions for the finite-volume scaling of the chiral condensate with data from quenched lattice gauge theory simulations. Using staggered fermions in both the fundamental and adjoint representations, and…

High Energy Physics - Lattice · Physics 2009-10-31 P. H. Damgaard , R. G. Edwards , U. M. Heller , R. Narayanan

In arXiv:1909.01269 it was shown that the scaling dimension of the lightest charge $n$ operator in the $U(1)$ model at the Wilson-Fisher fixed point in $d=4-\varepsilon$ can be computed semiclassically for arbitrary values of $\lambda n$,…

High Energy Physics - Theory · Physics 2020-01-14 Gil Badel , Gabriel Cuomo , Alexander Monin , Riccardo Rattazzi

We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of an improved lattice model, where the…

Statistical Mechanics · Physics 2025-03-05 Francesco Parisen Toldin

We consider the Landau-Ginzburg-Wilson Hamiltonian with O(n)x O(m) symmetry and compute the critical exponents at all fixed points to O(n^{-2}) and to O(\epsilon^3) in a \epsilon=4-d expansion. We also consider the corresponding non-linear…

High Energy Physics - Theory · Physics 2009-11-07 Andrea Pelissetto , Paolo Rossi , Ettore Vicari

An effective Finite-Size Scaling (FSS) of moment products from recent STAR measurements of the variance $\sigma$, skewness $S$ and kurtosis $\kappa$ of net-proton multiplicity distributions, are reported for a broad range of collision…

Nuclear Experiment · Physics 2016-11-02 Roy A. Lacey , Peifeng Liu , Niseem Magdy , B. Schweid , N. N. Ajitanand

The QCD phase diagram is one of the most prominent outstanding puzzles within the Standard Model. Various experiments, which aim at its exploration beyond small baryon density, are operating or in preparation. From the theoretical side,…

We show how to construct lattice sigma models in one, two and four dimensions which exhibit an exact fermionic symmetry. These models are discretized and {\it twisted} versions of conventional supersymmetric sigma models with N=2…

High Energy Physics - Lattice · Physics 2009-11-10 Simon Catterall , Sofiane Ghadab

Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of Statistical Physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In…

Statistical Mechanics · Physics 2023-10-30 Nikolaos G. Fytas , Victor Martin-Mayor , Giorgio Parisi , Marco Picco , Nicolas Sourlas

The laws of quantum-critical scaling theory of quantum fidelity, dependent on the underlying system dimensionality $D$, have so far been verified in exactly solvable $1D$ models, belonging to or equivalent to interacting, quadratic…

Quantum Physics · Physics 2016-02-10 Mariusz Adamski , Janusz Jędrzejewski , Taras Krokhmalskii

Finite-size scaling is a key tool in statistical physics, used to infer critical behavior in finite systems. Here we use the analogous concept of finite-time scaling to describe the bifurcation diagram at finite times in discrete dynamical…

Adaptation and Self-Organizing Systems · Physics 2018-04-12 Alvaro Corral , Lluis Alseda , Josep Sardanyes
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