Finite-Size Scaling behavior in the O(4)-Model

Abstract

The exact nature of the QCD phase transition has still not been determined conclusively, and there are contradictory results from lattice QCD simulations about the scaling behavior for two quark flavors. Ultimately, this issue can be resolved only by a careful scaling and finite-size scaling analysis of the lattice results. We use a renormalization group approach to obtain finite-size scaling functions for the O(4)-model, which are relevant for this analysis. Our results are applicable to Lattice QCD studies of the QCD phase boundary.

41 pages, 10 figures, minor changes in the discussion, references added, published version

References in corpus (13)

• Exact evolution equation for the effective potential
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Aspects of the Functional Renormalisation Group
• Chiral phase boundary of QCD at finite temperature
• Running coupling at finite temperature and chiral symmetry restoration in QCD
• Volume and Quark Mass Dependence of the Chiral Phase Transition
• High-accuracy scaling exponents in the local potential approximation
• Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavours of massless staggered quarks
• Scaling functions for the O(4)-model in d=3 dimensions
• Effects of the anomaly on the two-flavor QCD chiral phase transition
• Finite-Size Scaling in the Driven Lattice Gas
• Lattice Results for the QCD Phase Transition
• Lattice QCD thermodynamics with Wilson quarks

Cited by in corpus (21)

• The nonperturbative functional renormalization group and its applications
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• On the Phase Structure of QCD in a Finite Volume
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Ultracold atoms and the Functional Renormalization Group
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Universal location of the Yang-Lee edge singularity in O(N) theories
• Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Second-order and Fluctuation-induced First-order Phase Transitions with Functional Renormalization Group Equations
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Dynamics of the $O(4)$ critical point in QCD
• Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model
• Dimensional crossover of nonrelativistic bosons
• Finite size dependence of scaling functions of the three-dimensional O(4) model in an external field
• Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$
• Universal location of Yang-Lee edge singularity in classic O(N) universality classes
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state