English

Critical Exponents without beta-Function

Condensed Matter 2009-10-31 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.cond-mat/9906359,
  title  = {Critical Exponents without beta-Function},
  author = {Hagen Kleinert},
  journal= {arXiv preprint arXiv:cond-mat/9906359},
  year   = {2009}
}

Comments

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/290