Hotzy, P., Boguslavski, K., & Müller, D. I. (2023). A stabilizing kernel for complex Langevin simulations of real-time gauge theories. In The 39th International Symposium on Lattice Field Theory. The 39th International Symposium on Lattice Field Theory (Lattice 2022), Bonn, Germany. SISSA. https://doi.org/10.22323/1.430.0279
The 39th International Symposium on Lattice Field Theory
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Volume:
430
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Date (published):
6-Apr-2023
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Event name:
The 39th International Symposium on Lattice Field Theory (Lattice 2022)
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Event date:
8-Aug-2022 - 13-Aug-2022
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Event place:
Bonn, Germany
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Number of Pages:
10
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Publisher:
SISSA
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Keywords:
Complex Langevin; Lattice QCD; Heavy Ion Collisions; Quark Gluon Plasma
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Abstract:
The complex Langevin (CL) method is a promising approach to overcome the sign problem, which emerges in real-time formulations of quantum field theories. Over the past decade, stabilization techniques for CL have been developed with important applications in finite density QCD. However, they are insufficient for SU(𝑁) gauge theories on a Schwinger-Keldysh time contour that is required for a real-time formulation. In these proceedings we revise the discretization of the real-time CL equations and introduce a novel anisotropic kernel that enables CL simulations on discretized time contours. Applying it to SU(2) Yang-Mills theory in 3+1 dimensions, we obtain unprecedentedly stable results that may allow us to calculate real-time observables from first principles.
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Research facilities:
Vienna Scientific Cluster
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Project title:
Nichtperturbative Eigenschaften evolvierenden gluonischer Plasmen: P 34455-N (FWF - Österr. Wissenschaftsfonds) Doktoratskolleg Particles and Interactions: W 1252-N27 (FWF - Österr. Wissenschaftsfonds)
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Research Areas:
Quantum Modeling and Simulation: 50% Quantum Many-body Systems Physics: 50%
CC BY-NC-ND 4.0
