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We present the latest results for the equation of state and the crossover transition in 2+1 flavor QCD from the HotQCD Collaboration. Bulk thermodynamic quantities - energy density, pressure, entropy density, and the speed of sound - are…

High Energy Physics - Lattice · Physics 2010-11-05 M. Cheng , HotQCD Collaboration

We study the critical behavior of lattice Quantum Chromodynamics (QCD) in the strong coupling approximation with Kogut-Susskind and Wilson fermions at finite temperature ($T$) and zero chemical potential. Using the Hamiltonian formulation…

High Energy Physics - Lattice · Physics 2010-11-05 Yasuo Umino

We present a Quantum Monte Carlo (QMC) study, based on the Langevin equation, of a Hamiltonian describing electrons coupled to phonon degrees of freedom. The bosonic part of the action helps control the variation of the field in imaginary…

Strongly Correlated Electrons · Physics 2019-01-16 G. G. Batrouni , Richard T. Scalettar

It is demonstrated that the complex Langevin method can simulate chiral random matrix theory at non-zero chemical potential. The successful match with the analytic prediction for the chiral condensate is established through a shift of…

High Energy Physics - Lattice · Physics 2015-03-05 A. Mollgaard , K. Splittorff

We apply the relative weights method to SU(3) gauge theory with staggered fermions of mass 695 MeV at a set of temperatures in the range $151 \le T \le 267$ MeV, to obtain an effective Polyakov line action at each temperature. We then apply…

High Energy Physics - Lattice · Physics 2018-06-13 Jeff Greensite , Roman Höllwieser

Progress in simulating QCD at nonzero baryon density requires, amongst others, substantial numerical effort. Here we propose two different expansions to all orders in the hopping parameter, preserving the full Yang-Mills action, which are…

High Energy Physics - Lattice · Physics 2014-12-24 Gert Aarts , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

Heavy quark potentials are investigated at high temperatures. The temperature range covered by the analysis extends from $T$ values just below the deconfinement temperature up to about $4 T_c$ in the deconfined phase. We simulated the pure…

High Energy Physics - Lattice · Physics 2009-10-31 Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Martin Lutgemeier

We summarise recent progress in simulating QCD at nonzero baryon density using complex Langevin dynamics. After a brief outline of the main idea, we discuss gauge cooling as a means to control the evolution. Subsequently we present a status…

High Energy Physics - Lattice · Physics 2014-12-03 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

We calculate second- and fourth-order cumulants of conserved charges in a temperature range stretching from the QCD transition region towards the realm of (resummed) perturbation theory. We perform lattice simulations with staggered quarks;…

High Energy Physics - Lattice · Physics 2015-12-23 R. Bellwied , S. Borsanyi , Z. Fodor , S. D. Katz , A. Pasztor , C. Ratti , K. K. Szabo

We propose a method for Monte Carlo simulations of systems with a complex action. The method has the advantages of being in principle applicable to any such system and provides a solution to the overlap problem. We apply it in random matrix…

High Energy Physics - Lattice · Physics 2017-08-23 Jan Ambjorn , Konstantinos N. Anagnostopoulos , Jun Nishimura , Jacobus J. M. Verbaarschot

We present the non-perturbative computation of the entropy density in QCD for temperatures ranging from 3 GeV up to the electro-weak scale, using $N_f=3$ flavours of massless O$(a)$-improved Wilson fermions. We adopt a new strategy designed…

High Energy Physics - Lattice · Physics 2025-02-07 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

We present a new method for isothermal rigid body simulations using the quaternion representation and Langevin dynamics. It can be combined with the traditional Langevin or gradient (Brownian) dynamics for the translational degrees of…

Computational Physics · Physics 2013-11-26 Ruslan L. Davidchack , Richard Handel , M. V. Tretyakov

We describe a series of simulations of high temperature QCD with two flavors of Wilson quarks aimed at clarifying the nature of the high temperature phase found in current simulations. Most of our work is with four time slices, although we…

High Energy Physics - Lattice · Physics 2009-09-25 Claude Bernard , Thomas A. DeGrand , Carleton DeTar , Steven Gottlieb , A. Hasenfratz , Leo Karkkainen , R. L. Sugar , D. Toussaint

The deconfining transition in non-Abelian gauge theory is known to occur by a condensation of Wilson lines. By expanding around an appropriate Wilson line background, it is possible at large $N$ to analytically continue the confining phase…

High Energy Physics - Theory · Physics 2009-10-09 Joseph Polchinski

We present the first results for lattice QCD at finite temperature $T$ and chemical potential $\mu$ with four flavors of Wilson quarks. The calculations are performed using the imaginary chemical potential method at $\kappa=0$, 0.001, 0.15,…

High Energy Physics - Lattice · Physics 2009-11-10 He-Sheng Chen , Xiang-Qian Luo

Using GPGPU techniques and multi-precision calculation we developed the code to study QCD phase transition line in the canonical approach. The canonical approach is a powerful tool to investigate sign problem in Lattice QCD. The central…

High Energy Physics - Lattice · Physics 2018-04-18 V. G. Bornyakov , D. Boyda , V. Goy , A. Molochkov , A. Nakamura , A. Nikolaev , V. I. Zakharov

Real time evolution of a scalar field theory is investigated. The severe sign problem is circumvented using the Complex Langevin equation. The naive application of the method breaks down for extended real times due to the appearance of…

High Energy Physics - Lattice · Physics 2025-03-03 Daniel Alvestad , Alexander Rothkopf , Dénes Sexty

We investigate the phase diagram in the temperature, imaginary chemical potential plane for QCD with three degenerate quark flavors using Wilson type fermions. While more expensive than the staggered fermions used in past studies in this…

High Energy Physics - Lattice · Physics 2013-12-05 Andrei Alexandru , Anyi Li

We give a brief introduction on finite temperature phase transitions in lattice QCD including a discussion on the identification of first order transitions. We present a study of the deconfinement phase transition of one-flavour QCD, using…

High Energy Physics - Lattice · Physics 2007-05-23 C. Alexandrou , A. Boriçi , A. Feo , Ph. de Forcrand , A. Galli , F. Jegerlehner , T. Takaishi

We present the crossover line between the quark gluon plasma and the hadron gas phases for small real chemical potentials. First we determine the effect of imaginary values of the chemical potential on the transition temperature using…

High Energy Physics - Lattice · Physics 2015-11-13 R. Bellwied , S. Borsanyi , Z. Fodor , J. Günther , S. D. Katz , C. Ratti , K. K. Szabo