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Related papers: Complex Langevin simulation for QCD-like models

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Quantum chromodynamics, most commonly referred to as QCD, is a relativistic quantum field theory for the strong interaction between subatomic particles called quarks and gluons. The most systematic way of calculating the strong interactions…

High Energy Physics - Lattice · Physics 2017-06-06 Dean P. Thomas , Rita Borgo , Robert S. Laramee , Simon J. Hands

Monte Carlo simulation of gauge theories with a $\theta$ term is known to be extremely difficult due to the sign problem. Recently there has been major progress in solving this problem based on the idea of complexifying dynamical variables.…

High Energy Physics - Lattice · Physics 2020-05-08 Mitsuaki Hirasawa , Akira Matsumoto , Jun Nishimura , Atis Yosprakob

Rotating systems in thermal equilibrium are ubiquitous in our world. In the context of high energy physics, rotations would affect the phase structure of QCD. However, the standard Monte-Carlo methods in rotating systems are problematic…

High Energy Physics - Theory · Physics 2023-08-23 Takehiro Azuma , Takeshi Morita , Hiroki Yoshida

QCD calculations for collider physics make use of perturbative solutions of renormalisation group equations (RGEs). Ambiguities related to these solutions can contribute significantly to systematic uncertainties of theoretical predictions…

High Energy Physics - Phenomenology · Physics 2025-05-30 Valerio Bertone , Giuseppe Bozzi , Francesco Hautmann

We study the design and implementation of numerical methods to solve the generalized Langevin equation (GLE) focusing on canonical sampling properties of numerical integrators. For this purpose, we cast the GLE in an extended phase space…

Numerical Analysis · Mathematics 2020-12-09 Benedict Leimkuhler , Matthias Sachs

One possibility for Beyond Standard Model physics is a new strongly-interacting gauge theory. One way to determine if a non-abelian gauge theory is QCD-like or conformal is to measure the running of the renormalized gauge coupling. We…

High Energy Physics - Lattice · Physics 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

Brute-force simulations for dynamics on very large networks are quite expensive. While phenomenological treatments may capture some macroscopic properties, they often ignore important microscopic details. Fortunately, one may be only…

Physics and Society · Physics 2016-05-17 Chuansheng Shen , Hanshuang Chen , Zhonghuai Hou , Jürgen Kurths

We introduce an efficient Langevin method to study bilinear Fermionic Hamiltonians interacting with classical fields. Our method is suitable for very large systems and offers high accuracy. To demonstrate the method, we study complex…

Statistical Mechanics · Physics 2013-12-16 Kipton Barros , Yasuyuki Kato

We present a simulation strategy for the real-time dynamics of quantum fields, inspired by reinforcement learning. It builds on the complex Langevin approach, which it amends with system specific prior information, a necessary prerequisite…

High Energy Physics - Lattice · Physics 2023-10-13 Daniel Alvestad , Alexander Rothkopf , Dénes Sexty

We review integrated dynamical approaches to describe heavy ion reaction as a whole at ultrarelativistic energies. Since final observables result from all the history of the reaction, it is important to describe all the stages of the…

Nuclear Theory · Physics 2015-06-04 Tetsufumi Hirano , Pasi Huovinen , Koichi Murase , Yasushi Nara

This review gives an overview on the research of algorithms for dynamical fermions used in large scale lattice QCD simulations. First a short overview on the state-of-the-art of ensemble generation at the physical point is given. Followed…

High Energy Physics - Lattice · Physics 2024-02-20 Jacob Finkenrath

We show how hot QCD equations of states can be adapted to make definite predictions for quark-gluon plasma at RHIC. We consider equations of state up to $O(g^5)$ and $O[g^6(ln(1/g)+\delta)]$. Our method involves the extraction of…

Nuclear Theory · Physics 2011-05-27 Vinod Chandra , Ravindra Kumar , V. Ravishankar

I apply a recently developed algorithm for reweighting simulations of lattice QCD from one quark mass to another to simulations performed with overlap fermions in the epsilon regime. I test it by computing the condensate from distributions…

High Energy Physics - Lattice · Physics 2009-01-08 Thomas DeGrand

Using an under-relaxed cooling algorithm we investigated the vacuum in the $2d\ O(3)$ model and $4d$ pure gauge $SU(2)$. We calibrated the amount of cooling performed to have similar physical effect at different lattice spacings.

High Energy Physics - Lattice · Physics 2008-11-26 C. Michael , P. S. Spencer

We study lattice QCD with a gauge action, which suppresses small plaquette values. Thus the MC history is confined to a single topological sector over a significant time, while other observables are decorrelated. This enables the cumulation…

High Energy Physics - Lattice · Physics 2009-11-10 S. Shcheredin , W. Bietenholz , K. Jansen , K. -I. Nagai , S. Necco , L. Scorzato

One reason for the well known fact that the Complex Langevin (CL) method sometimes fails to converge or converges to the wrong limit has been identified long ago: it is insufficient decay of the probability density either near infinity or…

High Energy Physics - Lattice · Physics 2020-01-15 M. Scherzer , E. Seiler , D. Sexty , I. -O. Stamatescu

We present efficient finite difference estimators for goal-oriented sensitivity indices with applications to the generalized Langevin equation (GLE). In particular, we apply these estimators to analyze an extended variable formulation of…

Numerical Analysis · Mathematics 2018-09-18 Eric Joseph Hall , Markos A. Katsoulakis , Luc Rey-Bellet

The lattice technique of studying the strong interaction of matter is used to obtain predictions of the hadronic spectrum. These simulations were performed by the UKQCD collaboration using full (unquenched) QCD. Details of the results, a…

High Energy Physics - Lattice · Physics 2009-10-31 C. R. Allton

Lattice simulations are an important class of problems in crystalline solids, surface science, alloys, adsorption, absorption, separation, catalysis, to name a few. We describe a fast computational method for performing lattice…

Statistical Mechanics · Physics 2023-07-24 Suhail Haque , Abhijit Chatterjee

By utilizing a soft-hard factorized model, which combines a thermal perturbative description of soft scatterings and a perturbative QCD-based calculation for hard collisions, we study the energy and temperature dependence of the heavy quark…

High Energy Physics - Phenomenology · Physics 2021-06-24 Shuang Li , Fei Sun , Wei Xie , Wei Xiong