Hadron spectrum in a Euclidean invariant regularization of QCD at strong coupling

A new random lattice regularization, which preserves exact euclidean invariance, is proposed for QCD. The corresponding action couples any two points on the random lattice with a gaussian damping of range b in the euclidean distance of the points. This property, which avoids the introduction of the concept of nearest neighbours on a random lattice, greatly simplifies computations of physical observables with respect to the situation of the standard random lattice models. The present calculation of the hadron spectrum of a SU(N = 3) gauge model is performed at strong coupling β = 0, at leading order in 1/N and in the inverse lattice point density ?. The results for mesons of definite spin-parity and flavor are quite good; the results for the baryons are, as usual, less satisfying (small N-Δ mass difference), but are also expected to be less reliable in our approximations. The problem of the regularization of chiral fermions is not settled in this paper where the used approximations yield a massless η-boson.