Complex Langevin simulations for PT-symmetric models

29 Jul 2021, 22:45
15m
Oral presentation Particle physics beyond the Standard Model Particle physics beyond the Standard Model

Speaker

Arpith Kumar (IISER Mohali)

Description

Self-interacting scalar quantum field theories possessing PT-symmetry are physically admissible since their energy spectrum is real and bounded below. However, models with PT-invariant potentials can have complex actions in general. Thus, they cannot be studied using methods based on traditional Monte Carlo due to a sign problem. We use complex Langevin dynamics to study two-dimensional supersymmetric models exhibiting PT invariance. In the literature, using perturbative calculations, SUSY is intact in these models even though parity is broken. In order to answer the question on non-perturbative SUSY breaking, we perform simulations of these models using the complex Langevin method.

Primary author

Arpith Kumar (IISER Mohali)

Co-author

Dr Anosh Joseph (IISER Mohali)

Presentation materials