Implicit schemes for real-time lattice gauge theory

  title={Implicit schemes for real-time lattice gauge theory},
  author={Andreas Ipp and David I M{\"u}ller},
  journal={The European Physical Journal. C, Particles and Fields},
  • A. IppD. Müller
  • Published 5 April 2018
  • Physics, Computer Science
  • The European Physical Journal. C, Particles and Fields
We develop new gauge-covariant implicit numerical schemes for classical real-time lattice gauge theory. A new semi-implicit scheme is used to cure a numerical instability encountered in three-dimensional classical Yang-Mills simulations of heavy-ion collisions by allowing for wave propagation along one lattice direction free of numerical dispersion. We show that the scheme is gauge covariant and that the Gauss constraint is conserved even for large time steps. 

Heavy quark diffusion in an overoccupied gluon plasma

Abstract We extract the heavy-quark diffusion coefficient κ and the resulting momentum broadening 〈p2〉 in a far-from-equilibrium non-Abelian plasma. We find several features in the time dependence

Progress on 3+1D Glasma simulations

An improved scheme cures the numerical Cherenkov instability and paves the way for simulations at higher energies used at LHC.

Anisotropic momentum broadening in the 2+1D glasma: Analytic weak field approximation and lattice simulations

In heavy ion collisions, transverse momentum broadening quantifies the modification of a hard probe due to interactions with the quark-gluon plasma (QGP). We calculate momentum broadening in the

Jet momentum broadening in the pre-equilibrium Glasma

Simulations of the Glasma in 3+1D.

The Glasma is a gluonic state of matter which can be created in collisions of relativistic heavy ions and is a precursor to the quark-gluon plasma. The existence of this state is a prediction of the

Lattice gauge equivariant convolutional neural networks

It is demonstrated that L-CNNs can learn and generalize gauge invariant quantities that traditional convolutional neural networks are incapable of finding.

Broad excitations in a 2+1D overoccupied gluon plasma

K. Boguslavski, A. Kurkela, T. Lappi, 4 and J. Peuron 6 Institute for Theoretical Physics, Technische Universität Wien, 1040 Vienna, Austria Faculty of Science and Technology, University of

Spacetime structure of (3+1)D color fields in high energy nuclear collisions

We perform an analytic calculation of the color fields in heavy-ion collisions by considering the collision of longitudinally extended nuclei in the dilute limit of the Color Glass Condensate effective



Time evolution of linearized gauge field fluctuations on a real-time lattice

Classical real-time lattice simulations play an important role in understanding non-equilibrium phenomena in gauge theories and are used in particular to model the prethermal evolution of heavy-ion

Fermion production from real-time lattice gauge theory in the classical-statistical regime

We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling

Numerical simulation of non-Abelian particle-field dynamics

Abstract.Numerical 1D-3V solutions of the Wong-Yang-Mills equations with anisotropic particle momentum distributions are presented. They confirm the existence of plasma instabilities for weak initial

Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations

Non-Abelian plasma instabilities play a crucial role in the nonequilibrium dynamics of a weakly coupled quark-gluon plasma, and they importantly modify the standard perturbative bottom-up

Confinement of Quarks

A mechanism for total confinement of quarks, similar to that of Schwinger, is defined which requires the existence of Abelian or non-Abelian gauge fields. It is shown how to quantize a gauge field

Early quark production and approach to chemical equilibrium

We perform real-time lattice simulations of out-of-equilibrium quark production in non-Abelian gauge theory in 3 þ 1 dimensions. Our simulations include the backreaction of quarks onto the dynamical

Introduction to Quantum Fields on a Lattice

Preface 1. Introduction 2. Path integral and lattice regularisation 3. O(n) models 4. Gauge field on the lattice 5. U(1) and SU(n) gauge theory 6. Fermions on the lattice 7. Low mass hadrons in QCD