Correction: Correction to: A third representation of Feynman–Kac–Itô formula with singular magnetic vector potential

1 Correction to: Letters in Mathematical Physics (2021) 111:33 https://doi.org/10.1007/s11005-021-01376-3

The publication of this article unfortunately contained a mistake. In the last sentence before the Acknowledgements, R^d must be changed into R. Please see below the corrected sentence:

Since $(0\le )\sup _{t \le t'}(\psi _{c,m}(T)(t)-\psi _{c, 0}(T)(t))\rightarrow 0$ as $m\downarrow 0$ $\nu ^{\Psi _{c,0}}$-a.s. for any $t'\in [0,\infty )$ [14, Proposition 4.2], the following convergence can be shown without $\mathrm {div}A \in L^{1}_\text {loc}(\mathbf {R}^d; \mathbf {R})$ by the Lebesgue dominated convergence theorem and the estimate (3.1) in Proposition 3.1:

[Theorem II] If $A\in L^2_\text {loc}(\mathbf {R}^d; \mathbf {R}^d)$, then for a fixed $c>0$, $e^{-t\Psi _{c,m} (H_A)}$ converges to $e^{-t\Psi _{c,0} (H_A)}$ in $L^2(\mathbf {R}^d)$ as $m \downarrow 0$, uniformly on every finite bounded interval in $t\ge 0$.