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We explore the fixed-point structure of QED-like theories upon the inclusionof a Pauli spin-field coupling. We concentrate on the fate of UV-stable fixedpoints recently discovered in $d=4$ spacetime dimensions upon generalizationsto lower as well as higher dimensions for an arbitrary number of fermionflavors $N_\mathrm{f}$. As an overall trend, we observe that going away from$d=4$ dimensions and increasing the flavor number tends to destabilize thenon-Gaussian fixed points discovered in four spacetime dimensions. A notableexception is a non-Gaussian fixed point at finite Pauli spin-field coupling butvanishing gauge coupling, which also remains stable down to $d=3$ dimensionsand for small flavor numbers. This includes also the range of degrees offreedom used in effective theories of layered condensed-matter systems. As anapplication, we construct renormalization group trajectories that emanate fromthe non-Gaussian fixed point and approach a long-range regime in theconventional QED${}_3$ universality class that is governed by the interacting(quasi) fixed point in the gauge coupling.

Pauli-Term-Induced Fixed Points in $d$-dimensional QED