Stochastic quantization with discrete fictitious time
Abstract We present a new approach to stochastic quantization à la Parisi-Wu with a discrete fictitious time. The noise average is modified by weights, which results in the equivalence in the large time limit to the correlation function of the corresponding quantum field theory without taking any continuum limit of fictitious time. We test our method in a zero-dimensional toy model both perturbatively and numerically.
Authors
- Daisuke Kadoh
- Hiroto So (ORCID: https://orcid.org/0000-0002-6219-2592)
- Mitsuhiro Kato (ORCID: https://orcid.org/0000-0003-1485-8553)
- Makoto Sakamoto (ORCID: https://orcid.org/0000-0003-0383-1304)
Institutions
- Tokyo Institute of Technology (JP)
- Meiji Gakuin University (JP)
- Ferris University (JP)
- Kobe University (JP)
- The University of Tokyo (JP)
Publication Details
- Journal
- Progress of Theoretical and Experimental Physics
- Published
- 2025-02-28
- DOI
- https://doi.org/10.1093/ptep/ptaf038
- Primary Topic
- Stochastic processes and financial applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00