Tootfinder

This https://arxiv.org/abs/2504.08612 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Scalar subleading soft theorems from an infinite tower of charges
We investigate the emergence of infinite-dimensional symmetries in the absence of gauge invariance by analyzing massless scalar theories. We construct an infinite tower of charges that arise from the subleading equations of motion at null infinity and are built from specific combinations of asymptotic field coefficients. Interestingly, these expressions are finite from the outset, requiring no holographic renormalization. By carefully analyzing the dynamics at spatial infinity, we show that thi…

A Constructive Proof of Existence and Mass Gap for Pure SU(3) Yang-Mills in Four-Dimensional Space-Time
D. C. Jacobsen
https://arxiv.org/abs/2506.00284 htt…

A Constructive Proof of Existence and Mass Gap for Pure SU(3) Yang-Mills in Four-Dimensional Space-Time
In this work we present a constructive proof that pure SU(3) Yang-Mills theory on R^4 exists as a nontrivial Wightman quantum field theory and exhibits a strictly positive mass gap. Our approach embeds the four-dimensional gauge theory as the zero-mode sector of a five-dimensional orbifold regulator that preserves gauge invariance and reflection positivity. A convergent joint polymer expansion on the Wilson lattice provides uniform control of the continuum (a->0) and infinite-volume (L->inf) li…