A1 Journal article (refereed)
Conserved energy–momentum tensor for real-time lattice simulations (2024)

Boguslavski, K., Lappi, T., Peuron, J., & Singh, P. (2024). Conserved energy–momentum tensor for real-time lattice simulations. European Physical Journal C, 84(4), Article 368. https://doi.org/10.1140/epjc/s10052-024-12725-6

JYU authors or editors

Publication details

All authors or editors: Boguslavski, K.; Lappi, T.; Peuron, J.; Singh, P.

Journal or series: European Physical Journal C

ISSN: 1434-6044

eISSN: 1434-6052

Publication year: 2024

Publication date: 08/04/2024

Volume: 84

Issue number: 4

Article number: 368

Publisher: Springer Science and Business Media LLC

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.1140/epjc/s10052-024-12725-6

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/94619

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2312.02726

Abstract

We derive an expression for the energy–momentum tensor in the discrete lattice formulation of pure glue QCD. The resulting expression satisfies the continuity equation for energy conservation up to numerical errors with a symmetric procedure for the time discretization. In the case of the momentum conservation equation, we obtain an expression that is of higher accuracy in lattice spacing (O(a2)) than the naive discretization where fields in the continuum expressions are replaced by discretized counterparts. The improvements are verified by performing numerical tests on the derived expressions using classical real-time lattice gauge theory simulations. We demonstrate substantial reductions in relative error of one to several orders of magnitude compared to a naive discretization for both energy and momentum conservation equations. We expect our formulation to have applications in the area of pre-equilibrium dynamics in ultrarelativistic heavy ion collisions, in particular for the extraction of transport coefficients such as shear viscosity.

Keywords: particle physics; quantum chromodynamics; simulation

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Related projects

Ministry reporting: Yes

Reporting Year: 2024

Preliminary JUFO rating: 2