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Applying the Worldvolume Hybrid Monte Carlo method to the complex $\phi^4$ theory at finite density

1 Aug 2023, 16:40
20m
Comitium (WH2SE)

Comitium

WH2SE

Parallel Talk QCD at Non-zero Density

Speaker

Yusuke Namekawa (Hiroshima University)

Description

The sign problem has been an obstacle to first-principles calculations based on the Monte Carlo method. The Worldvolume Hybrid Monte Carlo (WV-HMC) method [Fukuma-Matsumoto 2020] is an efficient method to reduce the sign problem with low cost. In this talk, I apply the WV-HMC to the complex $\phi^4$ theory at finite density, and show that the computational cost is proportional to the degrees of freedom, $N$, in contrast to the $N^3$ scaling for other Lefschetz thimble methods.

Topical area QCD at Non-zero Density

Primary authors

Masafumi Fukuma (Kyoto University) Yusuke Namekawa (Hiroshima University)

Presentation materials