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We develop a methodology based on out-of-equilibrium simulations to mitigate topological freezing when approaching the continuum limit of lattice gauge theories. We reduce the autocorrelation of the topological charge employing open…

We study the $O(N)$-invariant $\phi^4$ model on the simple cubic lattice by using Monte Carlo simulations. By using a finite size scaling analysis, we obtain accurate estimates for the critical exponents $\nu$ and $\eta$ for $N=4$, $5$,…

High Energy Physics - Lattice · Physics 2022-04-07 Martin Hasenbusch

As a nonperturbative check on the Q-exact lattice formulation, we demonstrate that the continuum R-symmetries are recovered. We locate the critical domain of the lattice theory. Aspects of the continuum nonrenormalization theorems are found…

High Energy Physics - Lattice · Physics 2007-05-23 Joel Giedt

We study the topological charge distribution of the SU(3) Yang--Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo…

High Energy Physics - Lattice · Physics 2015-10-12 Marco Cè , Cristian Consonni , Georg P. Engel , Leonardo Giusti

We study \theta-vacua in the 2-d lattice O(3) model using the standard action and an optimized constraint action with very small cut-off effects, combined with the geometric topological charge. Remarkably, dislocation lattice artifacts do…

High Energy Physics - Lattice · Physics 2012-11-14 Michael Bögli , Ferenc Niedermayer , Michele Pepe , Uwe-Jens Wiese

We test a set of lattice gauge actions for QCD that suppress small plaquette values and in this way also suppress transitions between topological sectors. This is well suited for simulations in the epsilon-regime and it is expected to help…

High Energy Physics - Lattice · Physics 2008-11-26 XLF Collaboration , W. Bietenholz , K. Jansen , K. -I. Nagai , S. Necco , L. Scorzato , S. Shcheredin

Lattice QCD simulations tend to get stuck in a single topological sector at fine lattice spacing, or when using chirally symmetric quarks. In such cases computed observables differ from their full QCD counterparts by finite size effects,…

High Energy Physics - Lattice · Physics 2014-10-21 Arthur Dromard , Christopher Czaban , Marc Wagner

It has been pointed out in recent papers that the example considered earlier in the O(N) sigma-model to test whether fixed-point actions are 1-loop perfect actually checked classical perfection only. To clarify the issue we constructed the…

High Energy Physics - Lattice · Physics 2009-10-30 Peter Hasenfratz , Ferenc Niedermayer

Exact results for conformational statistics of compact polymers are derived from the two-flavour fully packed loop model on the square lattice. This loop model exhibits a two-dimensional manifold of critical fixed points each one…

Statistical Mechanics · Physics 2009-10-31 Jesper Lykke Jacobsen , Jane' Kondev

We numerically study the single-flavor Schwinger model with a topological $\theta$-term, which is practically inaccessible by standard lattice Monte Carlo simulations due to the sign problem. By using numerical methods based on tensor…

High Energy Physics - Lattice · Physics 2020-03-25 Lena Funcke , Karl Jansen , Stefan Kühn

We propose a simple method to estimate the central charge of the conformal field theory corresponding to a critical point of a two-dimensional lattice model from Monte Carlo simulations. The main idea is to use the Wang-Landau…

Statistical Mechanics · Physics 2017-06-19 P. A. Belov , A. A. Nazarov , A. O. Sorokin

The topology conserving gauge action proposed by Luescher is expected to reduce the number of non-smooth gauge configurations as well as the topology change compared to the conventional actions for the same lattice spacings. We report our…

High Energy Physics - Lattice · Physics 2007-05-23 H. Fukaya , T. Onogi , S. Hashimoto , T. Hirohashi , K. Ogawa

We study the iteration of block spin transformations in the O(3) symmetric non-linear sigma-model on a two-dimensional square lattice with help of the Monte Carlo method. In contrast to the classical Monte Carlo Renormalization Group…

High Energy Physics - Lattice · Physics 2014-11-17 A. P. Gottlob , M. Hasenbusch , K. Pinn

We perform hybrid Monte-Carlo (HMC) simulation of lattice QCD with $N_f=2+1+1$ domain-wall quarks at the physical point, on the $64^3 \times (64,20,16,12,10,8,6)$ lattices, each with three lattice spacings. The lattice spacings and the bare…

High Energy Physics - Lattice · Physics 2022-10-13 Yu-Chih Chen , Ting-Wai Chiu , Tung-Han Hsieh

A new parametrization is introduced for the fixed point (FP) action in SU(3) gauge theory using fat links. We investigate its scaling properties by means of the static quark-antiquark potential and the dimensionless quantities $r_0 T_c,…

High Energy Physics - Lattice · Physics 2009-10-31 Ferenc Niedermayer , Philipp Rufenacht , Urs Wenger

We study the critical slowing down towards the continuum limit of lattice QCD simulations with Hybrid Monte Carlo type algorithms. In particular for the squared topological charge we find it to be very severe with an effective dynamical…

High Energy Physics - Lattice · Physics 2011-01-04 Stefan Schaefer , Rainer Sommer , Francesco Virotta

We use single-cluster Monte Carlo simulations to study the role of topological defects in the three-dimensional classical Heisenberg model on simple cubic lattices of size up to $80^3$. By applying reweighting techniques to time series…

High Energy Physics - Lattice · Physics 2009-10-22 Christian Holm , Wolfhard Janke

SU(2) gauge theory is investigated with a lattice action which is insensitive to small perturbations of the lattice gauge fields. Bare perturbation theory can not be defined for such actions at all. We compare non-perturbative continuum…

High Energy Physics - Lattice · Physics 2018-08-29 Daniel Nogradi , Lorinc Szikszai , Zoltan Varga

We present a novel technique for the determination of the topological susceptibility (related to the variance of the distribution of global topological charge) from lattice gauge theory simulations, based on maximum-likelihood analysis of…

The definition and computation of the topological susceptibility in non-abelian gauge theories is complicated by the presence of non-integrable short-distance singularities. Recently, alternative representations of the susceptibility were…

High Energy Physics - Lattice · Physics 2014-11-21 Martin Lüscher , Filippo Palombi