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QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

High Energy Physics - Lattice · Physics 2008-11-26 M. -P. Lombardo

We study the deconfinement transition line in QCD for quark chemical potentials up to $\mu_q \sim 5 T$ ($\mu_B \sim 15 T$). To circumvent the sign problem we use the complex Langevin equation with gauge cooling. The plaquette gauge action…

High Energy Physics - Lattice · Physics 2020-08-05 M. Scherzer , D. Sexty , I. -O. Stamatescu

We discuss the flavor number dependence of QCD at low temperature and high density by the complex Langevin method. In our previous work, the complex Langevin method is confirmed to satisfy the criterion for correct convergence in certain…

QCD at non-zero chemical potential ($\mu$) for quark number has a complex fermion determinant and thus standard simulation methods for lattice QCD cannot be applied. We therefore simulate this theory using the Complex-Langevin algorithm…

High Energy Physics - Lattice · Physics 2015-10-22 D. K. Sinclair , J. B. Kogut

The three-dimensional XY model is studied at finite chemical potential using complex Langevin dynamics. An adaptive stepsize algorithm is implemented to cure the problem of runaway solutions that appears when using a constant stepsize. The…

High Energy Physics - Lattice · Physics 2011-01-27 Gert Aarts , Frank A. James

Experiments on carrier recombination in two-dimensional organic structures are often interpreted in the frame of the Langevin model with taking into account only the drift of the charge carriers in their mutual electric field. While this…

Disordered Systems and Neural Networks · Physics 2012-01-10 A. V. Nenashev , F. Jansson , S. D. Baranovskii , R. Österbacka , A. V. Dvurechenskii , F. Gebhard

In this paper, we provide new insights on the Unadjusted Langevin Algorithm. We show that this method can be formulated as a first order optimization algorithm of an objective functional defined on the Wasserstein space of order $2$. Using…

Computation · Statistics 2018-03-30 Alain Durmus , Szymon Majewski , Błażej Miasojedow

Mesons in large-N QCD are analysed in light-front coordinates with a transverse lattice at strong coupling. In this limit, their properties can be expressed as simple renormalisations of the 't Hooft model results. The integral eigenvalue…

High Energy Physics - Lattice · Physics 2007-05-23 Apoorva Patel

A positive representation for a set of complex densities is constructed. In particular, complex measures on a direct product of U(1) groups are studied. After identifying general conditions which such representations should satisfy, several…

High Energy Physics - Lattice · Physics 2018-04-18 Erhard Seiler , Jacek Wosiek

Recent progress in open-heavy-flavor measurements and future experimental upgrades are bringing heavy-flavor physics into the precision era, allowing for strong quantitative constraints on the transport properties of heavy quarks in the…

Nuclear Theory · Physics 2018-12-18 Weiyao Ke , Yingru Xu , Steffen A. Bass

We propose a sampling method based on an ensemble approximation of second order Langevin dynamics. The log target density is appended with a quadratic term in an auxiliary momentum variable and damped-driven Hamiltonian dynamics introduced;…

Dynamical Systems · Mathematics 2025-06-06 Ziming Liu , Andrew M. Stuart , Yixuan Wang

Approximate Thompson sampling with Langevin Monte Carlo broadens its reach from Gaussian posterior sampling to encompass more general smooth posteriors. However, it still encounters scalability issues in high-dimensional problems when…

Machine Learning · Statistics 2024-06-24 Haoyang Zheng , Wei Deng , Christian Moya , Guang Lin

Machine learning methods have been widely used in the investigations of the complex plasmas. In this paper, we demonstrate that the unsupervised convolutional neural network can be applied to obtain the melting line in the two-dimensional…

Plasma Physics · Physics 2023-07-25 Hu-Sheng Li , He Huang , Wei Yang , Cheng-Ran Du

We investigate the QCD phase diagram in the strong-coupling lattice QCD with fluctuation and $1/g^2$ effects by using the auxiliary field Monte-Carlo simulations. The complex phase of the Fermion determinant at finite chemical potential is…

High Energy Physics - Lattice · Physics 2015-12-29 Akira Ohnishi , Terukazu Ichihara

We present our results obtained from gauge cooled complex Langevin simulations in 1+1d QCD at non-zero densities in the strong coupling regime with unrooted staggered fermions. For small quark masses there are regions of the chemical…

High Energy Physics - Lattice · Physics 2016-11-03 Sebastian Schmalzbauer , Jacques Bloch

Quantum error correction is indispensable for scalable quantum computation. Although encoding logical qubits substantially enhances noise resilience, achieving logical error rates low enough for practical algorithms remains challenging on…

Quantum Physics · Physics 2026-01-27 Haipeng Xie , Nobuyuki Yoshioka , Kento Tsubouchi , Ying Li

Under a rescaling of longitudinal coordinates $x^{0,3}$ by a factor $\lambda$ which is taken to zero, the classical QCD action simplifies dramatically. This is the high-energy limit, as $\lambda$ is of order $s^{-1/2}$, where $s$ is the…

High Energy Physics - Phenomenology · Physics 2009-09-02 Peter Orland , Jing Xiao

We present updated results of dynamic stabilisation (DS) applied to complex Langevin simulations of QCD in the heavy-dense limit and with staggered quarks. We show that DS is able to keep the unitarity norm sufficiently small, which leads…

High Energy Physics - Lattice · Physics 2018-11-01 Felipe Attanasio , Benjamin Jäger

Recently, the task of image generation has attracted much attention. In particular, the recent empirical successes of the Markov Chain Monte Carlo (MCMC) technique of Langevin Dynamics have prompted a number of theoretical advances; despite…

Machine Learning · Statistics 2020-06-24 Adam Block , Youssef Mroueh , Alexander Rakhlin , Jerret Ross

One of the yet unsolved questions of QCD in the context of the Standard Model is to explain the strong CP problem. A way to look for a better understanding of it is to investigate the theory in the presence of a non-zero topological theta…

High Energy Physics - Lattice · Physics 2014-11-05 Lorenzo Bongiovanni , Gert Aarts , Erhard Seiler , Denes Sexty
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