Quantum Monte Carlo simulation with a black hole
Sanjin Benic, Arata Yamamoto
TL;DR
This paper presents quantum Monte Carlo simulations of a scalar field in black hole backgrounds, revealing inhomogeneous symmetry breaking caused by gravitational effects.
Contribution
It introduces a novel approach to simulate quantum fields in curved spacetime using Monte Carlo methods around black holes.
Findings
Inhomogeneous symmetry breaking observed in scalar field due to black hole gravity
Numerical methods applied to discretized path integrals in Schwarzschild metric
Comparison between exact and approximate black hole metrics
Abstract
We perform quantum Monte Carlo simulations in the background of a classical black hole. The lattice discretized path integral is numerically calculated in the Schwarzschild metric and in its approximated metric. We study spontaneous symmetry breaking of a real scalar field theory. We observe inhomogeneous symmetry breaking induced by inhomogeneous gravitational field.
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