5 problems

Holonomy-independence conjecture. The holonomy dependence of $\Omega_T(M_T,P_{m\alpha,3})$, like its logarithmic dependence on the cutoff, is a gauge artefact and will enter no phy…

Gauge-artifact conjecture. The function $\Omega_T(M_T,P_{m\alpha,3})$ is an unphysical gauge artefact: its explicit form will never be needed to evaluate any gauge-invariant quanti…

Global $Z_N$ symmetry-breaking conjecture. The confinement/deconfinement phase transition might be driven by the breaking of a global $Z_N$ symmetry.

Let $Z(\beta)$ be a generic finite-temperature path integral defined using a thermal circle $S^1_{\beta}$, and let $N_0$ denote the number of zero modes along that circle. Write…

Let $Z(\beta)$ be a finite-temperature path integral, with thermal circle $S^1_{\beta}$, and let ${\rm R.}$ denote a regularized sum of its Kaluza–Klein zero modes on that circle.…