On self-dualities for scalar $\phi^4$ theory
High Energy Physics - Theory
2026-04-13 v3 Quantum Gases
Nuclear Theory
Abstract
Scalar field theory is studied by constructing interacting saddle point expansions in the symmetric and broken phase, respectively. Focusing on analytically tractable saddle expansions, it is found that broken and symmetric phases are related by sign flip of the quartic coupling. Applications to dimensions recover previous results for the phase diagram, whereas is possibly new.
Cite
@article{arxiv.2602.18286,
title = {On self-dualities for scalar $\phi^4$ theory},
author = {Paul Romatschke},
journal= {arXiv preprint arXiv:2602.18286},
year = {2026}
}
Comments
4 pages + 5 pages supplemental material; v2: fixed typos, added reference; v3: more typos, added comparison to d=4 Lattice Monte Carlo data