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HK: Fachverband Hadronen und Kerne

HK 33: Heavy Ion Collisions and QCD phases

HK 33.5: Vortrag

Dienstag, 17. März 2009, 18:00–18:15, H-ZO 10

Scaling Analysis for the chiral Phase Transition in two-flavor lattice QCD — •Bertram Klein¹ and Jens Braun² — ¹Physik Department, Technische Universität München — ²TRIUMF, Vancouver, Canada

The question of the exact nature of the phase transition in QCD with two flavors of quarks is still not settled. QCD lattice simulations will ultimately have to decide this question, but due to the presence of a finite quark mass, which breaks chiral symmetry, and due to the finite volume, phase transitions are difficult to analyze in such numerical simulations.

To establish the presence of scaling behavior and to determine the universality class of the corresponding phase transition a scaling analysis is required. Such a scaling analysis in turn relies on the knowledge of critical exponents, the scaling functions and the finite-size scaling functions for the different possible universality classes for the transition. As an additional problem, only dimensionless, universal quantities can be used in such an analysis. This can require the determination of non-universal normalization constants.

We use scaling functions for finite quark mass and finite volume obtained from Renormalization Group calculations to analyze lattice results for QCD with two flavors. We find that current lattice simulations are in a region where finite-size scaling effects remain small, and where corrections to scaling due to the large quark masses become large.