Negative Coupling ϕ⁴ on the Lattice

2023/10/05 by Paul Romatschke, Romatschke, Paul
Mathematics · #Advanced Algebra and Geometry #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2310.03815

openalex publication_date 2023/10/05 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/30

Abstract

Triviality of ϕ⁴ theory in four dimensions can be avoided if the bare coupling constant is negative in the UV. Theories with negative coupling can be put on the lattice if the integration domain for ϕ(x) is contour-deformed from the real to the complex domain. In 0+1d (quantum mechanics), one can recover results from PT-symmetric quantum mechanics in this way. In this work, I report on an attempt to put negative coupling ϕ⁴ theory in 4 dimensions on the lattice.

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