Colored particle-in-cell for Glasma simulations



Currently supported open source code:

Description Repository link
PyGlasma3D: 3+1D Glasma simulation in Python / Cython
Curraun: 2+1D Glasma simulation
Lattice gauge equivariant convolutional neural network (L-CNN)

The 3+1D Glasma simulation is available in several versions:

Features Python/Cython Python/Numba Java C++
Open source
Graphical user interface
MPI support
GPU support
Semi-implicit solver
Source code repository
Python/Cython version

Python/Numba version

Java version

C++ version

The colored particle-in-cell simulations can simulate the production and evolution of the Glasma.
Previous particle-in-cell codes for electromagnetic plasmas are currently not maintained.

About Glasma simulations

The Glasma is a precursor state to the quark-gluon plasma. It is created when two highly Lorentz-contracted nuclei collide at ultra-relativistic energies. We have created an open-source framework for the simulation of the initial stages of heavy ion collisions. This framework is inspired by the particle-in-cell method which is used for simulating electromagnetic plasmas. In our case, we apply this method to the strong nuclear force, also called color force, with concepts borrowed from lattice gauge theory.


3+1D color fields

Space-time structure of 3+1D color fields in high energy nuclear collisions
Andreas Ipp, David I. Müller, Soeren Schlichting, Pragya Singh
Phys.Rev.D 104 (2021) 11, 114040
(PRD, arXiv:2109.05028)


Generalization capabilities of translationally equivariant neural networks
Srinath Bulusu, Matteo Favoni, Andreas Ipp, David Müller, Daniel Schuh
Phys.Rev.D 104 (2021) 7, 074504
(PRD, arXiv:2103.14686)


Lattice gauge equivariant convolutional neural networks
Matteo Favoni, Andreas Ipp, David Müller, Daniel Schuh
Phys.Rev.Lett. 128 (2022) 3, 3
(PRL, arXiv:2012.12901)

Jet momentum broadening

Jet momentum broadening in the pre-equilibrium Glasma
Andreas Ipp, David Müller, Daniel Schuh
Phys.Lett.B 810 (2020) 135810 (PLB, arXiv:2009.14206)

Anisotropic momentum broadening

Anisotropic momentum broadening in the 2+1D Glasma: analytic weak field approximation and lattice simulations
Andreas Ipp, David Müller, Daniel Schuh
Phys.Rev.D 102 (2020) 7, 074001
(PRD, arXiv:2001.10001)

3+1D Glasma simulations

Progress on 3+1D Glasma simulations
Andreas Ipp, David Müller
Eur.Phys.J.A 56 (2020) 9, 243
(EPJA, arXiv:2009.02044)

Implicit schemes

Implicit schemes for real-time lattice gauge theory
Andreas Ipp, David Müller
Eur.Phys.J. C78 (2018) no.11, 884
(EPJC, arXiv:1804.01995)

Broken boost invariance

Broken boost invariance in the Glasma via finite nuclei thickness
Andreas Ipp, David Müller
Phys.Lett. B771 (2017) 74-79
(PLB, arXiv:1703.00017)

Thick nuclei collision

Simulating collisions of thick nuclei in the color glass condensate framework
Daniil Gelfand, Andreas Ipp, David Müller
Phys.Rev. D94 (2016) no.1, 014020
(PRD, arXiv:1605.07184)



Andreas Ipp

Group leader
Web - Email

David Müller

Postdoctoral fellow

Matteo Favoni

PhD student

Markus Leuthner

PhD student

Kayran Schmidt

PhD student

Daniel Schuh

PhD student

Former team members

Daniil Gelfand

Former postdoctoral fellow (2016 - 2018)



Andreas Ipp
Institute for Theoretical Physics, TU Wien