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pro vyhledávání: '"Fukuma, Masafumi"'
Autor:
Fukuma, Masafumi
The Worldvolume Hybrid Monte Carlo method (WV-HMC method) [arXiv:2012.08468] is a reliable and versatile algorithm towards solving the sign problem. Similarly to the tempered Lefschetz thimble method, this method removes the ergodicity problem inhere
Externí odkaz:
http://arxiv.org/abs/2311.10663
The numerical sign problem is a major obstacle to the quantitative understanding of many important physical systems with first-principles calculations. Typical examples for such systems include finite-density QCD, strongly-correlated electron systems
Externí odkaz:
http://arxiv.org/abs/2205.00652
The worldvolume tempered Lefschetz thimble method (WV-TLTM) is an algorithm towards solving the sign problem, where hybrid Monte Carlo updates are performed on a continuous accumulation of flowed surfaces foliated by the anti-holomorphic gradient flo
Externí odkaz:
http://arxiv.org/abs/2111.14669
Autor:
Fukuma, Masafumi, Matsumoto, Nobuyuki
The numerical sign problem has long been a major obstacle to first-principles calculations in various important fields of physics. We report that the recently proposed algorithm, tempered Lefschetz thimble method (TLTM), and its worldvolume extension
Externí odkaz:
http://arxiv.org/abs/2111.14662
We propose a novel tensor network representation for two-dimensional Yang-Mills theories with arbitrary compact gauge groups. In this method, tensor indices are directly given by group elements with no direct use of the character expansion. We apply
Externí odkaz:
http://arxiv.org/abs/2107.14149
We discuss the statistical analysis method for the worldvolume hybrid Monte Carlo (WV-HMC) algorithm [arXiv:2012.08468], which was recently introduced to substantially reduce the computational cost of the tempered Lefschetz thimble method. In the WV-
Externí odkaz:
http://arxiv.org/abs/2107.06858
Autor:
Fukuma, Masafumi, Matsumoto, Nobuyuki
Publikováno v:
Prog Theor Exp Phys (2021)
As a solution towards the numerical sign problem, we propose a novel Hybrid Monte Carlo algorithm, in which molecular dynamics is performed on a continuum set of integration surfaces foliated by the antiholomorphic gradient flow ("the worldvolume of
Externí odkaz:
http://arxiv.org/abs/2012.08468
Autor:
Fukuma, Masafumi, Matsumoto, Nobuyuki
Towards formulating quantum gravity, we present a novel mechanism for the emergence of spacetime geometry from randomness. In [arXiv:1705.06097], we defined for a given Markov stochastic process "the distance between configurations," which enumerates
Externí odkaz:
http://arxiv.org/abs/2004.00975
For a given Markov chain Monte Carlo (MCMC) algorithm, we define the distance between configurations that quantifies the difficulty of transitions. This distance enables us to investigate MCMC algorithms in a geometrical way, and we investigate the g
Externí odkaz:
http://arxiv.org/abs/2001.02028
The tempered Lefschetz thimble method (TLTM) is a parallel-tempering algorithm towards solving the numerical sign problem. It tames both the sign and ergodicity problems simultaneously by tempering the system with the flow time of continuous deformat
Externí odkaz:
http://arxiv.org/abs/2001.01665