Critical Exponents without beta-Function

Physics – Condensed Matter

Scientific paper

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Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://w

Scientific paper

10.1016/S0370-2693(99)00942-9

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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