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

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 3d O(4) model in the high temperature region on an L=120 lattice.

16 pages, 6 figures, 9 eps-files, Latex2e, typos corrected, extended discussion of corrections to scaling, updated references, version to appear in Phys. Rev. D 89

References in corpus (2)

• Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume

Cited by in corpus (19)

• Chiral crossover in QCD at zero and non-zero chemical potentials
• Chiral phase transition temperature in (2+1)-Flavor QCD
• Chiral phase structure of three flavor QCD at vanishing baryon number density
• The Chiral Phase Transition in three-flavor QCD from Lattice QCD
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Spectral functions and critical dynamics of the $O(4)$ model from classical-statistical lattice simulations
• Dynamics of the $O(4)$ critical point in QCD
• Pion spectral properties above the chiral crossover of QCD
• Towards the chiral phase transition in the Roberge-Weiss plane
• Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling
• QCD phase transition in the chiral limit
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• Scaling functions of the three-dimensional $Z(2)$, $O(2)$ and $O(4)$ models and their finite size dependence in an external field
• Exploring Lee-Yang and Fisher Zeros in the 2D Ising model through multipoint Padé approximants
• Supercooled Goldstone Bosons at the QCD Chiral Phase Transition
• Scaling violation and the magnetic equation of state in chiral models
• Quenching through the QCD chiral phase transition
• Spontaneous symmetry breaking in the O(4) scalar model on a lattice
• Soft pions and transport near the chiral critical point