<div class="csl-bib-body">
<div class="csl-entry">Hotzy, P. (2023, February 7). <i>Stabilizing complex Langevin for real-time gauge theories with an anisotropic kernel</i> [Presentation]. Cold Quantum Coffee Seminar Heidelberg 2023, Heidelberg, Germany.</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/193478
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dc.description.abstract
The complex Langevin (CL) method is a promising approach to overcome the sign problem that occurs in real-time formulations of quantum field theories. Using the Schwinger-Keldysh formalism, we study SU(N) gauge theories with CL. We observe that current stabilization techniques are insufficient to obtain correct results. Therefore, we revise the discretization of the CL equations on complex time contours, find a time reflection symmetric formulation and introduce a novel anisotropic kernel that enables CL simulations on discretized complex time paths. Applying it to SU(2) Yang-Mills theory in 3+1 dimensions, we obtain unprecedentedly stable results that we validate using additional observables and that can be systematically improved. For the first time, we are able to simulate non-Abelian gauge theory on time contours whose real-time extent exceeds its inverse temperature. Thus, our approach may pave the way towards an ab-initio real-time framework of QCD in and out of equilibrium with a potentially large impact on the phenomenology of heavy-ion collisions.
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dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
Complex Langevin
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dc.subject
High Energy Physics
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dc.subject
Lattice QCD
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dc.subject
Quark Gluon Plasma
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dc.title
Stabilizing complex Langevin for real-time gauge theories with an anisotropic kernel