217 citations · 2.7k across the 77 of their papers we have counts for
54 papers · 1 filter
Lattice field theories with a sign problem
Gert Aarts, Dénes Sexty
The sign problem obstructs the determination of the QCD phase diagram in the temperature-baryon chemical potential plane using lattice QCD. We review the sign problem in QCD and re…
Finite-density equation of state of hot QCD using the complex Langevin equation
Michael Mandl, Dénes Sexty, Daniel Unterhuber
We present the results of continuum-extrapolated lattice simulations of quantum chromodynamics (QCD) above the crossover temperature and for unprecedentedly high baryon densities a…
Complex Langevin simulations with a kernel
Michael Mandl, Erhard Seiler, Dénes Sexty
We discuss recent developments regarding the use of kernels in complex Langevin simulations. In particular, we outline how a kernel can be used to solve the problem of wrong conver…
The Role of Integration Cycles in Complex Langevin Simulations
Michael W. Hansen, Michael Mandl, Erhard Seiler +1
Complex Langevin simulations are an attempt to solve the sign (or complex-action) problem encountered in various physical systems of interest. The method is based on a complexifica…
Kernels and integration cycles in complex Langevin simulations
Michael Mandl, Michael W. Hansen, Erhard Seiler +1
The method of complex Langevin simulations is a tool that can be used to tackle the complex-action problem encountered, for instance, in finite-density lattice quantum chromodynami…
Testing dynamical stabilization of Complex Langevin simulations of QCD
Michael W. Hansen, Dénes Sexty
We study complex Langevin simulations of a toy model as well as QCD, supplemented with a dynamical stabilization (DS) term, which was proposed to regularize the complexified proces…
Lattice real-time simulations with learned optimal kernels
Daniel Alvestad, Alexander Rothkopf, Dénes Sexty
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…
Real time evolution of scalar fields with kernelled Complex Langevin equation
Nina Maria Lampl, Dénes Sexty
The real time evolution of a scalar field in 0+1 dimensions is investigated on a complex time contour. The path integral formulation of the system has a sign problem, which is circ…
Complex Langevin: Correctness criteria, boundary terms and spectrum
Erhard Seiler, Dénes Sexty, Ion-Olimpiu Stamatescu
The Complex Langevin (CL) method to simulate `complex probabilities', ideally produces expectation values for the observables that converge to a limit equal to the expectation valu…
Parallel tempering algorithm applied to the deconfinement transition of quenched QCD
Ruben Kara, Szabolcs Borsanyi, Zoltan Fodor +3
QCD with infinite heavy quark masses exhibits a first-order thermal transition which is driven by the spontaneous breaking of the global center symmetry. We analyze…
Topological features of the deconfinement transition
Sz. Borsanyi, Z. Fodor, D. A. Godzieba +4
The first order transition between the confining and the center symmetry breaking phases of the SU(3) Yang-Mills theory is marked by discontinuities in various thermodynamics funct…
Complex Langevin boundary terms in full QCD
Michael W. Hansen, Dénes Sexty
Lattice simulations of non-zero density QCD introduce the so-called sign problem (complex or negative probabilities), which invalidates importance sampling methods. To circumvent t…
Precision study of the continuum SU(3) Yang-Mills theory: how to use parallel tempering to improve on supercritical slowing down for first order phase transitions
S. Borsanyi, Z. Fodor, D. A. Godzieba +3
We perform large scale simulations to characterize the transition in quenched QCD. It is shown by a rigorous finite size scaling that the transition is of first order. After this q…
The upper right corner of the Columbia plot with staggered fermions
Ruben Kara, Szabolcs Borsanyi, Zoltan Fodor +4
QCD with heavy dynamical quarks exhibits a first order thermal transition which is driven by the spontaneous breaking of the global center symmetry. Decreasing the…
Complex Langevin boundary terms in lattice models
Michael W. Hansen, Erhard Seiler, Dénes Sexty +1
In complex Langevin simulations, the insufficient decay of the probability density near infinity leads to boundary terms that spoil the formal argument for correctness. We present…
Topological susceptibility of pure gauge theory using Density of States
Szablocs Borsanyi, Dénes Sexty
The topological susceptibility of the SU(3) pure gauge theory is calculated in the deconfined phase at temperatures up to . At such large temperatures the susceptibility is…
Deconfinement transition line with the Complex Langevin equation up to
M. Scherzer, D. Sexty, I. -O. Stamatescu
We study the deconfinement transition line in QCD for quark chemical potentials up to (). To circumvent the sign problem we use the complex Langevin e…
Calculating the EoS of the dense quark-gluon plasma using the Complex Langevin equation
Dénes Sexty
The pressure and energy density of the quark-gluon plasma at finite baryon chemical potential are calculated using the Complex Langevin equation. The stout smearing procedure is ge…
Complex Langevin: Boundary terms and application to QCD
Manuel Scherzer, Erhard Seiler, Dénes Sexty +1
We employ the Complex Langevin method for simulation of complex-valued actions. First, we show how to test for convergence of the method by explicitely computing boundary terms and…
Applying constrained simulations for low temperature lattice QCD at finite baryon chemical potential
G. Endrodi, Z. Fodor, S. D. Katz +3
We study the density of states method as well as reweighting to explore the low temperature phase diagram of QCD at finite baryon chemical potential. We use four flavors of stagger…
Complex Langevin and boundary terms
Manuel Scherzer, Erhard Seiler, Dénes Sexty +1
As is well known the Complex Langevin (CL) method sometimes fails to converge or converges to the wrong limit. We identified one reason for this long ago: insufficient decay of the…
Searching for a CEP signal with lattice QCD simulations
Zoltan Fodor, Matteo Giordano, Jana N. Guenther +7
We discuss the reliability of available methods to constrain the location of the QCD critical endpoint with lattice simulations. In particular we calculate the baryon fluctuations…
Getting even with CLE
Gert Aarts, Kirill Boguslavski, Manuel Scherzer +3
In the landscape of approaches toward the simulation of Lattice Models with complex action the Complex Langevin (CL) appears as a straightforward method with a simple, well defined…
Complex Langevin dynamics and zeroes of the fermion determinant
Gert Aarts, Erhard Seiler, Denes Sexty +1
QCD at nonzero baryon chemical potential suffers from the sign problem, due to the complex quark determinant. Complex Langevin dynamics can provide a solution, provided certain con…