24–28 Aug 2026
Leiden University
Europe/Zurich timezone

Numerical simulations of the stochastic formalism

Not scheduled
20m
Gorlaeus gebouw (Leiden University)

Gorlaeus gebouw

Leiden University

Einsteinweg 55, 2333 CC Leiden
Talk Inflation / Primordial Perturbations

Speaker

Tomotaka Kuroda (IBS-CTPU-CGA/Institute of Science Tokyo)

Description

The stochastic formalism can be understood as an effective field theory for IR modes, which incorporates quantum corrections from UV modes at the coarse-graining scale. As the name suggests, the dynamics are described by Langevin equations. In general, the system is non-Markovian, meaning it depends on past history by construction in stochastic inflation.

In this talk, I will present and discuss several approaches to analyzing the system, including the Markovian approximation and full numerical computations that account for non-Markovian effects. In particular, I will consider two examples; the MSSM scenario (full numerical computations show that the flat direction is not saturated, improving upon previous results), and lambda phi^4 (non-Markovian appears as both short and long term effects)

Author

Tomotaka Kuroda (IBS-CTPU-CGA/Institute of Science Tokyo)

Co-author

Masahiro Kawasaki (The University of Tokyo)

Presentation materials

There are no materials yet.