Finite size dependence of scaling functions of the three-dimensional O(4) model in an external field

J. Engels and F. Karsch
Phys. Rev. D 90, 014501 – Published 1 July 2014

Abstract

We calculate universal finite-size scaling functions for the order parameter and the longitudinal susceptibility of the three-dimensional O(4) model. The phase transition of this model is supposed to be in the same universality class as the chiral transition of two-flavor QCD. The scaling functions serve as a testing device for QCD simulations on small lattices, where, for example, pseudocritical temperatures are difficult to determine. In addition, we have improved the infinite-volume limit parametrization of the scaling functions by using newly generated high statistics data for the three-dimensional O(4) model in the high-temperature region on an L=120 lattice.

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  • Received 25 February 2014

DOI:https://doi.org/10.1103/PhysRevD.90.014501

© 2014 American Physical Society

Authors & Affiliations

J. Engels1 and F. Karsch1,2

  • 1Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany
  • 2Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA

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Vol. 90, Iss. 1 — 1 July 2014

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