TY - INPR A1 - Brandt, Bastian Benjamin A1 - Cuteri, Francesca A1 - Endrődi, Gergely A1 - Markó, Gergely A1 - Sandbote, Leon A1 - Marques Valois, Adeilton Dean T1 - Thermal QCD in a non-uniform magnetic background T2 - arXiv N2 - Off-central heavy-ion collisions are known to feature magnetic fields with magnitudes and characteristic gradients corresponding to the scale of the strong interactions. In this work, we employ equilibrium lattice simulations of the underlying theory, QCD, involving similar inhomogeneous magnetic field profiles to achieve a better understanding of this system. We simulate three flavors of dynamical staggered quarks with physical masses at a range of magnetic fields and temperatures, and extrapolate the results to the continuum limit. Analyzing the impact of the field on the quark condensate and the Polyakov loop, we find non-trivial spatial features that render the QCD medium qualitatively different as in the homogeneous setup, especially at temperatures around the transition. In addition, we construct leading-order chiral perturbation theory for the inhomogeneous background and compare its prediction to our lattice results at low temperature. Our findings will be useful to benchmark effective theories and low-energy models of QCD for a better description of peripheral heavy-ion collisions. Y1 - 2023 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/85846 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-858469 UR - https://arxiv.org/abs/2305.19029v1 IS - 2305.19029 Version 1 PB - arXiv ER -