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

Engels J, Karsch F (2014)

Physical Review D 90(1).

*Journal Article*|

*Published*|

*English*

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Abstract

We calculate universal finite size scaling functions for the order parameterand the longitudinal susceptibility of the three-dimensional O(4) model. Thephase transition of this model is supposed to be in the same universality classas the chiral transition of two-flavor QCD. The scaling functions serve as atesting device for QCD simulations on small lattices, where, for example,pseudocritical temperatures are difficult to determine. In addition, we haveimproved the infinite volume limit parametrization of the scaling functions byusing newly generated high statistics data for the 3d O(4) model in the hightemperature region on an L=120 lattice.

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### Cite this

Engels J, Karsch F. Finite size dependence of scaling functions of the three dimensional O(4) model in an external field.

*Physical Review D*. 2014;90(1).Engels, J., & Karsch, F. (2014). Finite size dependence of scaling functions of the three dimensional O(4) model in an external field.

*Physical Review D*,*90*(1).Engels, J., and Karsch, F. (2014). Finite size dependence of scaling functions of the three dimensional O(4) model in an external field.

*Physical Review D*90.Engels, J., & Karsch, F., 2014. Finite size dependence of scaling functions of the three dimensional O(4) model in an external field.

*Physical Review D*, 90(1).J. Engels and F. Karsch, “Finite size dependence of scaling functions of the three dimensional O(4) model in an external field”,

*Physical Review D*, vol. 90, 2014.Engels, J., Karsch, F.: Finite size dependence of scaling functions of the three dimensional O(4) model in an external field. Physical Review D. 90, (2014).

Engels, Jürgen, and Karsch, Frithjof. “Finite size dependence of scaling functions of the three dimensional O(4) model in an external field”.

*Physical Review D*90.1 (2014).
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