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Related papers: Developments in lattice QCD for matter at high tem…

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I review the status of lattice QCD calculations at non-zero temperature. After summarizing what is known about the equilibrium properties of strongly interacting matter, I discuss in more detail recent results concerning the quark-mass…

High Energy Physics - Lattice · Physics 2015-12-22 Harvey B. Meyer

We study the QCD phase structure at high temperature and density adopting a histogram method. Because the quark determinant is complex at finite density, the Monte-Carlo method cannot be applied directly. We use a reweighting method and try…

High Energy Physics - Lattice · Physics 2017-11-22 Shinji Ejiri , Sinya Aoki , Tetsuo Hatsuda , Kazuyuki Kanaya , Yoshiyuki Nakagawa , Hiroshi Ohno , Hana Saito , Takashi Umeda

Recent progress and the latest results on the bulk thermodynamic properties of QCD matter from lattice are reviewed. In particular, I will stress upon the fact that lattice techniques are now entering into precision era where they can…

High Energy Physics - Lattice · Physics 2019-02-15 Sayantan Sharma

We propose an improvement of the differential method for the computation of the equation of state of QCD from lattice simulations. In contrast to the earlier differential method our technique yields positive pressure for all temperatures…

High Energy Physics - Lattice · Physics 2015-06-25 Rajiv V. Gavai , Sourendu Gupta , Swagato Mukherjee

Aiming at evading the notorious sign problem in classical Monte-Carlo approaches to lattice quantum chromodynamics, we present an approach for quantum computing finite-temperature lattice gauge theories at non-zero density. Based on the…

High Energy Physics - Lattice · Physics 2022-12-23 Zohreh Davoudi , Niklas Mueller , Connor Powers

We review recent results on the phase structure of QCD and bulk QCD thermodynamics. In particular we discuss how universal critical scaling related to spontaneous breaking of the chiral symmetry manifests itself in recent lattice QCD…

High Energy Physics - Lattice · Physics 2017-10-11 Christian Schmidt , Sayantan Sharma

Complex Langevin simulations have been able to successfully reproduce results from Monte Carlo methods in the region where the sign problem is mild and make predictions when it is exponentially hard. We present here our study of the QCD…

High Energy Physics - Lattice · Physics 2016-10-25 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Dénes Sexty

The DESY-Swansea Collaboration performed numerical simulations investigating SU(2) lattice gauge theory at non-zero chemical potential with one staggered quark flavour in the adjoint representation. This lattice model has similar features…

High Energy Physics - Lattice · Physics 2007-05-23 I. Montvay , S. Hands , L. Scorzato , J. I. Skullerud

After a brief discussion of the promise and limitations of the lattice technique, I review lattice QCD results for several quantities of phenomenological interest. These are: matrix elements for heavy-to-light meson decays, leptonic decay…

High Energy Physics - Lattice · Physics 2007-05-23 Jonathan M Flynn

At nonzero chemical potential the numerical sign problem in lattice field theory limits the use of standard algorithms based on importance sampling. Complex Langevin dynamics provides a possible solution, but it has to be applied with care.…

High Energy Physics - Lattice · Physics 2015-06-15 Gert Aarts , Lorenzo Bongiovanni , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

We demonstrate that at finite density and sufficiently high temperatures, phase-quenched (PQ) lattice simulations combined with perturbation theory provide a new precision approach to determining the thermodynamics of QCD across a wide arc…

High Energy Physics - Phenomenology · Physics 2025-11-14 Tyler Gorda , Pablo Navarrete , Risto Paatelainen , Leon Sandbote , Kaapo Seppänen

The current understanding of finite temperature phase transitions in QCD is reviewed. A critical discussion of refined phase transition criteria in numerical lattice simulations and of analytical tools going beyond the mean-field level in…

High Energy Physics - Lattice · Physics 2008-11-26 Hildegard Meyer-Ortmanns

Complex Langevin simulations allow numerical studies of theories that exhibit a sign problem, such as QCD, and are thereby potentially suitable to determine the QCD phase diagram from first principles. Here we study QCD in the limit of…

High Energy Physics - Lattice · Physics 2016-10-12 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Dénes Sexty

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

I review some recent lattice results on studying chiral and deconfinement transition in QCD at finite temperature and density, as well as properties of strongly interacting matter at high temperatures. I discuss lattice results on the…

High Energy Physics - Lattice · Physics 2013-01-29 P. Petreczky

In lattice field theory, the interactions of elementary particles can be computed via high-dimensional integrals. Markov-chain Monte Carlo (MCMC) methods based on importance sampling are normally efficient to solve most of these integrals.…

High Energy Physics - Lattice · Physics 2020-02-18 Tobias Hartung , Karl Jansen , Hernan Leövey , Julia Volmer

Lattice scalar field theories encounter a sign problem when the coupling constant is complex. This is a close cousin of the real-time sign problems that afflict the lattice Schwinger-Keldysh formalism, and a more distant relative of the…

High Energy Physics - Lattice · Physics 2022-12-28 Scott Lawrence , Hyunwoo Oh , Yukari Yamauchi

A new approach to study the equation of state in finite-temperature QCD is proposed on the lattice. Unlike the conventional method in which the temporal lattice size $N_t$ is fixed, the temperature $T$ is varied by changing $N_t$ at fixed…

High Energy Physics - Lattice · Physics 2009-03-12 T. Umeda , S. Ejiri , S. Aoki , T. Hatsuda , K. Kanaya , Y. Maezawa , H. Ohno

We review recent results on QCD at finite temperature and non-vanishing baryon number density. We focus on observables which are of immediate interest to experimental searches for the Quark Gluon Plasma, i.e. the phase transition…

High Energy Physics - Lattice · Physics 2015-06-25 Frithjof Karsch

We study the QCD phase diagram by first principle lattice calculations at so far unreached high densities. For this purpose we employ the density of states method. Unimproved staggered fermions, which describe four quark flavors in the…

High Energy Physics - Lattice · Physics 2010-10-27 Zoltan Fodor , Sandor D. Katz , Christian Schmidt
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