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The amplitude of the magnetic field near the Galactic Centre has beenuncertain by two orders of magnitude for several decades. On a scale ofapproximately 100 pc fields of approximately 1000 microG have been reported,implying a magnetic energy density more than 10,000 times stronger than typicalfor the Galaxy. Alternatively, the assumption of pressure equilibrium betweenthe various phases of the Galactic Centre interstellar medium (includingturbulent molecular gas; the contested "very hot" plasma; and the magneticfield) suggests fields of approximately 100 microG over approximately 400 pcsize scales. Finally, assuming equipartition, fields of only approximately 6microG have been inferred from radio observations for 400 pc scales. Here wereport a compilation of previous data that reveals a down-break in the region'snon-thermal radio spectrum (attributable to a transition from bremsstrahlung tosynchrotron cooling of the in situ cosmic-ray electron population). We showthat the spectral break requires that the Galactic Centre field be at least 50microG on 400 pc scales, lest the synchrotron-emitting electrons produce toomuch gamma-ray emission given existing constraints. Other considerationssupport a field of 100 microG, implying that > 10% of the Galaxy's magneticenergy is contained in only < 0.05% of its volume.

A lower limit of 50 microgauss for the magnetic field near the Galactic Centre