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Lattice Monte Carlo of $λϕ^4$ on Euclidean de Sitter

Caravano, Angelo
arXiv (All) · Papers
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general-relativity-and-quantum-cosmologyhigh-energy-physics-latticehigh-energy-physics-theory
We report the first Monte Carlo simulation of quantum field theory on Euclidean de Sitter space, $S^4$. Rather than discretizing space, we use a spectral lattice based on spherical harmonics, keeping all symmetries exact at finite cutoff. For a massless $λϕ^4$ theory, the zero-mode distribution repr
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