A method for computing electromagnetic properties of hadrons in quench
ed lattice QCD is applied to the extraction of electromagnetic propert
ies of the octet baryons. This allows a determination of the full depe
ndence of the baryon masses on the charges and masses of the valence q
uarks. Results of a first numerical study (at beta = 5.7 with Wilson a
ction and light quark masses fixed from the pseudoscalar meson spectru
m) are reported. The quenched octet baryon isomultiplet splittings (wi
th statistical errors) are found to be: N - P = 2.08(+/-0.56), Sigma(0
) - Sigma(+) = 2.63(+/-0.39), Sigma(-) - Sigma(0) = 4.90(+/-0.36) and
Xi(-) - Xi(0) = 5.58(+/-0.24) MeV. Estimates of the systematic electro
magnetic corrections arising from finite volume are included in these
results. (C) 1997 Elsevier Science B.V.