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Critical coupling in ϕ24 theory

Stephan Dürr1,2 and Tolga S. H. Kiel1

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Phys. Rev. D 113, 114520 – Published 18 June, 2026

DOI: https://doi.org/10.1103/jx2b-kxwc

Abstract

We consider ϕ4 theory with ϕ(x)∈R in two Euclidean dimensions. We determine for a variety of self-couplings λ^ the (negative) critical bare mass μ^0c2(λ^) where the lattice-regularized system changes from the symmetric to the broken phase. Based on these data, the transition to infinite volume and a universal scheme with the renormalized parameter μ^c2(λ^) is made. Finally, fc=limλ^→0λ^/μ^c2(λ^) is determined, with a judicious choice of the parametrizations considered. Our final result reads fc=11.1097(20)stat(09)sys=11.1097(22)tot.

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Phys. Rev. D 113, 114520– Published 18 June, 2026
  • Received 6 February 2026
  • Accepted 8 April 2026
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