Brown, S.S.BrownVernstrom, T.T.VernstromCARRETTI, ETTOREETTORECARRETTIDolag, K.K.DolagGaensler, B. M.B. M.GaenslerStaveley-Smith, L.L.Staveley-SmithBERNARDI, GIANNIGIANNIBERNARDIHaverkorn, M.M.HaverkornKesteven, M.M.KestevenPOPPI, SergioSergioPOPPI2020-09-112020-09-1120170035-8711http://hdl.handle.net/20.500.12386/27312We set limits on the presence of the synchrotron cosmic web through the cross-correlation of the 2.3 GHz S-PASS survey with a model of the local cosmic web derived from constrained magnetohydrodynamic (MHD) simulations. The MHD simulation assumes cosmologically seeded magnetic fields amplified during large-scale structure formation and a population of relativistic electrons/positrons from proton-proton collisions within the intergalactic medium. We set a model-dependent 3σ upper limit on the synchrotron surface brightness of 0.16 mJy arcmin<SUP>-2</SUP> at 2.3 GHz in filaments. Extrapolating from magnetic field maps created from the simulation, we infer an upper limit (density-weighted) magnetic field of 0.03 (0.13) μG in filaments at the current epoch and a limit on the primordial magnetic field (PMF) of B<SUB>PMF</SUB> < 1.0 nG.STAMPAenArticle10.1093/mnras/stx7462-s2.0-85032010670000402819700037http://arxiv.org/abs/1703.07829v1https://academic.oup.com/mnras/article/468/4/4246/30910052017MNRAS.468.4246BFIS/05 - ASTRONOMIA E ASTROFISICAERC sectors::Physical Sciences and Engineering::PE9 Universe sciences: astro-physics/chemistry/biology; solar systems; stellar, galactic and extragalactic astronomy, planetary systems, cosmology, space science, instrumentation