Hotzy, P., Boguslavski, K., & Müller, D. (2023, September 5). Towards computing real-time observables from first principles [Conference Presentation]. 795. Wilhelm and Else Heraeus Seminar on Simulations of Quantum Field Theories, Öberwölz, Austria.
795. Wilhelm and Else Heraeus Seminar on Simulations of Quantum Field Theories
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Event date:
4-Sep-2023 - 8-Sep-2023
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Event place:
Öberwölz, Austria
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Keywords:
Quark Gluon Plasma; Lattice QCD; High Energy Physics; Complex Langevin
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Abstract:
The complex Langevin method holds great potential for addressing theories with complex actions. However, real-time quantum field theories remain largely unsolved due to the challenging sign problem. In this work, we present our recent advancements in applying the complex Langevin method to SU(2) Yang-Mills theory in 3+1 dimensions. To enhance stability, we introduce a novel anisotropic kernel that...
The complex Langevin method holds great potential for addressing theories with complex actions. However, real-time quantum field theories remain largely unsolved due to the challenging sign problem. In this work, we present our recent advancements in applying the complex Langevin method to SU(2) Yang-Mills theory in 3+1 dimensions. To enhance stability, we introduce a novel anisotropic kernel that allows for real-time simulations beyond the inverse temperature. We explicitly show the method's ability to reproduce thermal relations among various propagators on the Schwinger-Keldysh contour. This approach may open the door to calculate transport coefficients and other real-time observables from first principles.