PreprintCC BY-NC-SA 4.0arXiv
Critical coupling and Δ⟨ϕ2⟩ in three-dimensional ϕ4 theory
Abstract
We consider the ϕ4 theory with ϕ(x)∈ℝ in three Euclidean dimensions. For a variety of self-couplings λ̂, the critical (bare) parameter μ̂0c2(λ̂) is determined where the lattice-regulated system changes from the symmetric phase to the broken phase. Next, we send the box volume to infinity and switch to a universal scheme; this yields μ̂c2(λ̂) for each simulated λ̂. Finally, a continuum extrapolation gives fc=limλ̂→0 λ̂2/μ̂c2(λ̂), and we find fc = 18.808(64)stat(45)sys = 18.808(78)tot. In addition, Δ⟨ϕ2⟩c/λ= −0.00303(12)stat(12)sys = −0.00303(17)tot is determined in the combined continuum and infinite-volume limit.
Related
- Critical coupling with zero-mode corrections in discretized light-cone quantized ϕ4 theory
- Octupole deformation in even-even Ra isotopes from covariant density functional theory with localized exchange terms in a three-dimensional lattice space
- Effective atom-dimer bands of three-body lattice systems at strong coupling: exact critical mass ratios and a statistics-quasimomentum duality
- Confining strings in the reconfined phase of trace deformed three dimensional SU(2) Yang-Mills theory
- Representation Theory of Three-dimensional Corner Symmetries
BibTeX
@misc{durr2026critical,
title = {{Critical coupling and $Δ\langleϕ^2\rangle$ in three-dimensional $ϕ^4$ theory}},
author = {Stephan Durr and Tolga S. H. Kiel},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03028},
eprint = {2610.03028},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03028},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Critical coupling and Δ⟨ϕ^2⟩ in three-dimensional ϕ^4 theory
AU - Stephan Durr
AU - Tolga S. H. Kiel
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03028
UR - https://arxiv.org/abs/2610.03028
AB - We consider the ϕ^4 theory with ϕ(x)∈ℝ in three Euclidean dimensions. For a variety of self-couplings λ̂, the critical (bare) parameter μ̂_0c^2(λ̂) is determined where the lattice-regulated system changes from the symmetric phase to the broken phase. Next, we send the box volume to infinity and switch to a universal scheme; this yields μ̂_c^2(λ̂) for each simulated λ̂. Finally, a continuum extrapolation gives f_c=lim_λ̂→0 λ̂^2/μ̂_c^2(λ̂), and we find f_c = 18.808(64)_stat(45)_sys = 18.808(78)_tot. In addition, Δ⟨ϕ^2⟩_c/λ= −0.00303(12)_stat(12)_sys = −0.00303(17)_tot is determined in the combined continuum and infinite-volume limit.
ER -