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We report on deep BVR-imaging of the field of the nearby millisecond pulsarPSR J0030+0451 obtained with the ESO/VLT/FORS2. We do not detect any opticalcounterpart down to B>27.3, V>27.0 and R>27.0 in the immediate vicinity of theradio pulsar position. The closest detected sources are offset by >3'', andthey are excluded as counterpart candidates by our astrometry. Using our upperlimits in the optical, and including recent XMM-Newton X-ray data we show thatany nonthermal power-law spectral component of neutron star magnetosphericorigin, as suggested by the interpretation of X-ray data, must be suppressed byat least a factor of ~500 in the optical range. This either rules out thenonthermal interpretation or suggests a dramatic spectral break in the0.003-0.1 keV range of the power-law spectrum. Such a situation has never beenobserved in the optical/X-ray spectral region of ordinary pulsars, and theorigin of such a break is unclear. An alternative interpretation with a purelythermal X-ray spectrum is consistent with our optical upper limits. In thiscase the X-ray emission is dominated by hot polar caps of the pulsar.Comment: 6 pages, LaTeX aa.cls style, 5 EPS figures. Accepted for publication  in Astronomy and Astrophysic

DeepBVRimaging of the field of the millisecond pulsar PSR J0030+0451 with the VLT