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arxiv: cond-mat/9906359 · v1 · submitted 1999-06-24 · ❄️ cond-mat · hep-th

Critical Exponents without beta-Function

classification ❄️ cond-mat hep-th
keywords criticalrenormalizationbeta-functionexponentsapproachcalculateconstantconstants
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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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