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Related papers: Classical Sphaleron Rate on Fine Lattices

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The dynamical N=1, SU(2) Super Yang-Mills theory is studied on the lattice using a new lattice fermion regulator, domain wall fermions. This formulation even at non-zero lattice spacing does not require fine-tuning, has improved chiral…

High Energy Physics - Lattice · Physics 2008-11-26 G. Fleming , J. Kogut , P. Vranas

We give arguments that in the 1+1 dimensional abelian Higgs model the classical approximation can be good for the leading high temperature behavior of real time processes. The Chern-Simons diffusion rate (`sphaleron rate') is studied…

High Energy Physics - Lattice · Physics 2009-10-31 W. H. Tang , J. Smit

We develop a new method to determine thermal activation rates, such as for bubble nucleation, topology change, \textsl{etc.}, using 4-dimensional Euclidean methods. This allows nonperturbative study on the lattice. We then investigate the…

High Energy Physics - Lattice · Physics 2023-02-01 Marc Barroso Mancha , Guy D. Moore

We study the Chern-Simons number diffusion rate in the (1+1)-dimensional latticeAbelian Higgs model at temperatures much higher than, as well as comparable to, the sphaleron energy. It is found that in the high-temperature limit the rate is…

High Energy Physics - Phenomenology · Physics 2010-11-01 Ph. de Forcrand , A. Krasnitz , R. Potting

A parametrization of the lattice spacing ($a$) in terms of the bare coupling ($\beta$) for the SU(3) Yang--Mills theory with the Wilson gauge action is given in a wide range of~$\beta$. The Yang--Mills gradient flow with respect to the flow…

High Energy Physics - Lattice · Physics 2015-10-09 Masayuki Asakawa , Takumi Iritani , Masakiyo Kitazawa , Hiroshi Suzuki

We present numerical results obtained in a finite-temperature study of the Sp(4) Yang-Mills theory on the lattice. We study its first-order confinement/deconfinement phase transition, by reconstructing the density of states via the…

High Energy Physics - Lattice · Physics 2026-03-02 Fabian Zierler , Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

We offer the Skyrme model on a lattice as an effective field theory - fully quantized - of baryon-meson interactions at temperatures below the chiral phase transition. We define a local topological density that involves the volumes of…

High Energy Physics - Lattice · Physics 2009-10-31 Alec J. Schramm , Benjamin Svetitsky

Lattice N=1 super-Yang-Mills theory formulated using Ginsparg-Wilson fermions provides a rigorous non-perturbative definition of the continuum theory that requires no fine-tuning as the lattice spacing is reduced to zero. Domain wall…

High Energy Physics - Lattice · Physics 2009-02-26 Joel Giedt , Richard Brower , Simon Catterall , George T. Fleming , Pavlos Vranas

We define supersymmetric Yang-Mills theory on an arbitrary two-dimensional lattice (polygon decomposition) with preserving one supercharge. When a smooth Riemann surface $\Sigma_g$ with genus $g$ emerges as an appropriate continuum limit of…

High Energy Physics - Lattice · Physics 2014-12-09 So Matsuura , Tatsuhiro Misumi , Kazutoshi Ohta

We construct sphaleron solutions with discrete symmetries in Yang-Mills-Higgs theory coupled to a dilaton. Related to rational maps of degree N, these platonic sphalerons can be assigned a Chern-Simons number Q=N/2. We present sphaleron…

High Energy Physics - Theory · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Kari Myklevoll

We present results from a numerical study of N=1 supersymmetric Yang-Mills theory using domain wall fermions. A set of dynamical simulations were performed for the gauge group SU(2) using the Wilson gauge action on 8^3x8 and 16^3x32…

High Energy Physics - Lattice · Physics 2010-11-05 Michael G. Endres

Lattice simulations of Yang-Mills theories coupled with $N_f$ flavours of fermions in the adjoint representation provide a way to probe the non-perturbative regime of a plethora of different physical scenarios, such as Supersymmetric…

High Energy Physics - Lattice · Physics 2022-12-06 P. Butti , M. García Pérez , A. González-Arroyo , K. I. Ishikawa

We perform first classical-statistical real time lattice simulations of topological transitions in the non-equilibrium Glasma of weakly coupled but highly occupied gauge fields created immediately after the collision of ultra-relativistic…

High Energy Physics - Phenomenology · Physics 2016-05-04 M. Mace , S. Schlichting , R. Venugopalan

In this paper we investigate, by means of numerical lattice simulations, the topological properties of the trace deformed $SU(3)$ Yang-Mills theory defined on $S_1\times\mathbb{R}^3$. More precisely, we evaluate the topological…

High Energy Physics - Lattice · Physics 2018-10-09 Claudio Bonati , Marco Cardinali , Massimo D'Elia

In this work we investigate the infrared behaviour of a Yang-Mills theory coupled to a massless fermion in the adjoint representation of the gauge group SU(2). This model has many interesting properties, corresponding to the $\mathcal{N}=2$…

High Energy Physics - Lattice · Physics 2022-12-07 Georg Bergner , Juan Camilo Lopez , Stefano Piemonte , Ivan Soler Calero

In the present work we analyse $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills (SYM) theory in two dimensions by means of lattice simulations. The theory arises as dimensional reduction of $\mathcal{N}=1$ SYM theory in four dimensions. As in…

High Energy Physics - Lattice · Physics 2019-03-19 D. August , M. Steinhauser , B. H. Wellegehausen , A. Wipf

Recently, there appeared results of lattice measurements in Yang-Mills theories which indicate non-trivial dependences on the lattice spacing of many observables. In particular, volume occupied by fermionic zero modes shrinks to zero in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Zakharov

Global topological charge decorrelates very slowly or even freezes in fine lattice simulations. On the other hand, its local fluctuations are expected to survive and lead to the correct physical results as long as the volume is large…

High Energy Physics - Lattice · Physics 2014-11-17 JLQCD collaboration , H. Fukaya , S. Aoki , G. Cossu , S. Hashimoto , T. Kaneko , J. Noaki

We obtain nonperturbative results on the sine-Gordon model using the lattice field technique. In particular, we employ the Fourier accelerated hybrid Monte Carlo algorithm for our studies. We find the critical temperature of the theory…

High Energy Physics - Lattice · Physics 2020-04-08 James Flamino , Joel Giedt

We report on an exploratory lattice study on the phenomenon of chiral instabilities in non-Abelian gauge theories at high temperature. It is based on a recently constructed anomalous Langevin-type effective theory of classical soft gauge…

High Energy Physics - Phenomenology · Physics 2016-05-04 Yukinao Akamatsu , Alexander Rothkopf , Naoki Yamamoto