Critical exponents without β-function

1999/06/24 by H. Kleinert, Hagen Kleinert
Chemistry · Physics and Astronomy · #Inorganic Fluorides and Related Compounds #Quantum, superfluid, helium dynamics #Scientific Research and Discoveries #cond-mat #hep-th

paper · pdf · doi:10.1016/s0370-2693(99)00942-9

published as Phys.Lett. B463 (1999) 69 · 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

arxiv created 1999/06/24 · openalex publication_date 1999/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Critical exponents of theN-vector model