2–8 Nov 2025
TIFR Mumbai
Asia/Kolkata timezone

Complex Langevin simulations with a kernel

3 Nov 2025, 16:40
20m
Homi Bhabha Auditorium

Homi Bhabha Auditorium

Speaker

Michael Mandl (University of Graz)

Description

Lattice simulations based on importance sampling suffer from the infamous sign problem when applied to certain physical systems of interest, such as QCD at finite baryon density or real-time quantum field theories. A possible way out is provided by the complex Langevin approach, which is based on a stochastic evolution of complexified degrees of freedom in an auxiliary time direction. However, complex Langevin simulations sometimes fail to produce correct results despite apparently converging correctly. In this talk, I will discuss possible reasons of failure and, in particular, how they may be mitigated by the introduction of a so-called kernel into the complex Langevin equation. Apart from applying such kernels to different systems, I will also outline a novel condition for correctness of the complex Langevin approach.

Parallel Session (for talks only) QCD at nonzero temperature and density

Authors

Michael Mandl (University of Graz) Erhard Seiler (Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Munich) Dénes Sexty

Presentation materials