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Classical lattice Yang-Mills calculations provide a good way to understand different nonequilibrium phenomena in nonperturbatively overoccupied systems. Above the Debye scale the classical theory can be matched smoothly to kinetic theory.…

高能物理 - 唯象学 · 物理学 2017-02-01 Tuomas Lappi , Jarkko Peuron

Classical real-time lattice simulations play an important role in understanding non-equilibrium phenomena in gauge theories and are used in particular to model the prethermal evolution of heavy-ion collisions. Due to instabilities, small…

高能物理 - 格点 · 物理学 2017-01-26 Aleksi Kurkela , Tuomas Lappi , Jarkko Peuron

The classical approximation may be applied to a number of problems in non-equilibrium field theory. The principles and limits of classical real-time lattice simulations are presented, with particular emphasis on the definition of particle…

高能物理 - 格点 · 物理学 2009-11-10 Jon-Ivar Skullerud

Results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos are reported. We use the tree-level Symanzik improved gauge…

高能物理 - 格点 · 物理学 2010-03-26 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud

We develop new gauge-covariant implicit numerical schemes for classical real-time lattice gauge theory. A new semi-implicit scheme is used to cure a numerical instability encountered in three-dimensional classical Yang-Mills simulations of…

高能物理 - 格点 · 物理学 2020-10-08 Andreas Ipp , David Müller

Supersymmetric Yang Mills theory is directly accessible to lattice simulations using current methodology, and can provide a non-trivial check of recent exact results in SQCD. In order to tune the lattice simulation to the supersymmetric…

高能物理 - 理论 · 物理学 2008-02-03 Nick Evans , Steve Hsu , Myck Schwetz

The simulation of real-time dynamics in lattice gauge theories is particularly hard for classical computing due to the exponential scaling of the required resources. On the other hand, quantum algorithms can potentially perform the same…

量子物理 · 物理学 2020-11-11 Simon V. Mathis , Guglielmo Mazzola , Ivano Tavernelli

Numerical simulations of supersymmetric theories on the lattice are intricate and challenging with respect to their theoretical foundations and algorithmic realisation. Nevertheless, the simulations of a four-dimensional supersymmetric…

高能物理 - 格点 · 物理学 2013-11-08 Georg Bergner , Istvan Montvay , Gernot Münster , Dirk Sandbrink , Umut D. Özugurel

Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model. Lattice field theory provides a non-perturbative regularization suitable for strongly…

高能物理 - 格点 · 物理学 2023-07-17 David Schaich

Real time evolution of classical gauge fields is relevant for a number of applications in particle physics and cosmology, ranging from the early Universe to dynamics of quark-gluon plasma. We present a lattice formulation of the interaction…

高能物理 - 格点 · 物理学 2018-03-14 Daniel G. Figueroa , Mikhail Shaposhnikov

Many of the exciting features of the Standard Model of the elementary particles are inherently non-perturbative. A theoretical understanding of many physics aspects beyond the Standard Model of elementary particles also requires a…

高能物理 - 格点 · 物理学 2024-02-12 Navdeep Singh Dhindsa

We discuss space-time chaos and scaling properties for classical non-Abelian gauge fields discretized on a spatial lattice. We emphasize that there is a ``no go'' for simulating the original continuum classical gauge fields over a long time…

高能物理 - 理论 · 物理学 2008-02-03 Holger Bech Nielsen , Hans Henrik Rugh , Svend Erik Rugh

Lattice field theory, along with its algorithmic and hardware ecosystems, has been at the forefront of computational particle and nuclear physics. It continues to deliver impressive results on the hadronic spectrum, structure, decays, and…

高能物理 - 格点 · 物理学 2026-05-21 Zohreh Davoudi

The theory of Gaussian quantum fluctuations around classical steady states in nonlinear quantum-optical systems (also known as standard linearization) is a cornerstone for the analysis of such systems. Its simplicity, together with its…

Lattice gauge theories describe fundamental phenomena in nature, but calculating their real-time dynamics on classical computers is notoriously difficult. In a recent publication [Nature 534, 516 (2016)], we proposed and experimentally…

We present our ongoing work on two-dimensional maximally supersymmetric Yang-Mills (2D MSYM) theory using lattice techniques. The continuum theory is obtained from the dimensional reduction of four-dimensional ${\mathcal N} = 4$…

高能物理 - 格点 · 物理学 2026-03-30 Bana Singh Sangtan , Anosh Joseph , David Schaich

Scalar fields play a crucial role in the Standard model. On the other hand, in the weak-coupling regime there is an unsolved problem of the quadratic divergence of scalar masses. Thus, it is natural to turn to composite, or effective scalar…

高能物理 - 理论 · 物理学 2011-07-08 H. Verschelde , V. I. Zakharov

The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behavior of elementary particles to the physics of electrons in solids. Most of our understanding of many-body systems comes from…

量子气体 · 物理学 2016-09-16 M. Dalmonte , S. Montangero

The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting…

高能物理 - 格点 · 物理学 2018-03-29 Raghav G. Jha , Simon Catterall , David Schaich , Toby Wiseman

Correlated classical and quantum many-particle systems out of equilibrium are of high interest in many fields, including dense plasmas, correlated solids, and ultracold atoms. Accurate theoretical description of these systems is challenging…

统计力学 · 物理学 2026-04-02 Erik Schroedter , Michael Bonitz
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