Solution of the Lattice ϕ 4 Theory in 4 Dimensions

作者: M. Lüscher

DOI: 10.1007/978-1-4613-0729-7_10

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摘要: Some recent analytical and numerical studies of the one component ϕ4 theory on a 4-dimensional hypercubic lattice are reviewed. Taken together, results obtained provide complete solution model in sense that most low energy amplitudes can be calculated with reasonable accuracy those parts phase diagram, where ultra-violet cutoff ∧ satisfies ∧≥2m (∧ = 1/a, a: spacing, m: physical particle mass). Further topics discussed include issue “triviality” possible upper bound Higgs meson mass.

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