# Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavors of massless staggered quarks

## Abstract

We simulate lattice QCD with 2 flavours of massless quarks on lattices of temporal extent N{sub t}=8, to study the finite temperature transition from hadronic matter to a quark-gluon plasma. A modified action which incorporates an irrelevant chiral 4-fermion interaction is used, which allows simulations at zero quark mass. We obtain excellent fits of the chiral condensates to the magnetizations of a 3-dimensional O(2) spin model on lattices small enough to model the finite size effects. This gives predictions for correlation lengths and chiral susceptibilities from the corresponding spin-model quantities. These are in good agreement with our measurements over the relevant range of parameters. Binder cumulants are measured, but the errors are too large to draw definite conclusions. From the properties of the O(2) spin model on the relatively small lattices with which we fit our data, we can see why earlier attempts to fit staggered lattice data to leading-order infinite-volume scaling functions, as well as finite size scaling studies, failed and led to erroneous conclusions.

- Authors:

- Department of Energy, Division of High Energy Physics, Washington D.C. 20585 (United States) and Department of Physics-TQHN, University of Maryland, 82 Regents Dr., College Park, Maryland 20742 (United States)
- (United States)

- Publication Date:

- OSTI Identifier:
- 20782831

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.73.074512; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; COMPUTERIZED SIMULATION; CORRELATIONS; ERRORS; FLAVOR MODEL; HADRONS; MAGNETIZATION; QUANTUM CHROMODYNAMICS; QUARK MATTER; QUARKS; REST MASS; SPIN; TRANSITION TEMPERATURE

### Citation Formats

```
Kogut, J.B., Sinclair, D.K., and HEP Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439.
```*Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavors of massless staggered quarks*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.074512.

```
Kogut, J.B., Sinclair, D.K., & HEP Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439.
```*Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavors of massless staggered quarks*. United States. doi:10.1103/PHYSREVD.73.074512.

```
Kogut, J.B., Sinclair, D.K., and HEP Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439. Sat .
"Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavors of massless staggered quarks". United States.
doi:10.1103/PHYSREVD.73.074512.
```

```
@article{osti_20782831,
```

title = {Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavors of massless staggered quarks},

author = {Kogut, J.B. and Sinclair, D.K. and HEP Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439},

abstractNote = {We simulate lattice QCD with 2 flavours of massless quarks on lattices of temporal extent N{sub t}=8, to study the finite temperature transition from hadronic matter to a quark-gluon plasma. A modified action which incorporates an irrelevant chiral 4-fermion interaction is used, which allows simulations at zero quark mass. We obtain excellent fits of the chiral condensates to the magnetizations of a 3-dimensional O(2) spin model on lattices small enough to model the finite size effects. This gives predictions for correlation lengths and chiral susceptibilities from the corresponding spin-model quantities. These are in good agreement with our measurements over the relevant range of parameters. Binder cumulants are measured, but the errors are too large to draw definite conclusions. From the properties of the O(2) spin model on the relatively small lattices with which we fit our data, we can see why earlier attempts to fit staggered lattice data to leading-order infinite-volume scaling functions, as well as finite size scaling studies, failed and led to erroneous conclusions.},

doi = {10.1103/PHYSREVD.73.074512},

journal = {Physical Review. D, Particles Fields},

number = 7,

volume = 73,

place = {United States},

year = {Sat Apr 01 00:00:00 EST 2006},

month = {Sat Apr 01 00:00:00 EST 2006}

}