Critical Exponents without beta-Function
arXiv:cond-mat/9906359 · doi:10.1016/S0370-2693(99)00942-9
Abstract
We point out that the recently developed strong-coupling theory enables us to calculate the three main critical exponents nu, eta, omega, from the knowledge of only the two renormalization constants Z_phi of wave function and Z_m of mass. The renormalization constant of the coupling strength is superfluous, and with it also the beta-function, the crucial quantity of the renormalization group approach to critical phenomena.
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