18-24 June 2017
Palacio de Congresos
Europe/Madrid timezone
Contribution Parallel
Auditorio Manuel de Falla
Nonzero Temperature and Density
Lefschetz-thimble flows without blow-up
Speakers
- Dr. Yuya TANIZAKI
Primary authors
- Dr. Yuya TANIZAKI (RIKEN BNL)
Co-authors
- Prof. Jacobus VERBAARSCHOT (Stony Brook University)
- Dr. Hiromichi NISHIMURA (RIKEN BNL)
Content
Lefschetz-thimble method becomes a powerful tool to study the sign problem. It defines the steepest descent contours by the gradient flow in complexified field configurations. Solutions of the gradient flow, however, generically blow up in a finite time, and thus it must be solved with great cares.
We propose a new gradient flow without blow-ups that equally solves the sign problem as the conventional one does. We report its theoretical foundations and also its behaviors in numerical studies of simple examples.
Preferred track (if multiple tracks have been selected)
Nonzero Temperature and Density