# Lattice studies of quantum chromodynamics in a special-purpose parallel-processing machine

## Abstract

A Monte Carlo study is presented of lattice Quantum Chromo-Dynamics near the deconfining phase transition on lattices of spatial size 16{sup 3}, 20{sup 3} and 24{sup 3} for N{sub t} = 4, 6, 10, and 16. These studies were carried out on a parallel processing machine, designed and built specifically for the calculations. The critical coupling for N{sub t} = 16 is determined to be 6.500 {plus minus} 0.036, which agrees with the prediction of perturbative scaling indicating continuum behavior. A broadening of the transition by nearly a factor of three is observed on 24{sup 3} {times} 6 as compared to 16{sup 3} {times} 4 which is attributed to the decrease in lattice spacing. 24{sup 3} is the largest volume on which these thermodynamics have yet been investigated, and the results are obtained from an order of magnitude greater statistics than have ever been reported in lattice gauge theory calculations.

- Authors:

- Publication Date:

- Research Org.:
- Columbia Univ., New York, NY (USA)

- OSTI Identifier:
- 7265543

- Resource Type:
- Thesis/Dissertation

- Resource Relation:
- Other Information: Thesis (Ph. D.)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; QUANTUM CHROMODYNAMICS; LATTICE PARAMETERS; CALCULATION METHODS; COMPUTER CODES; DATA ANALYSIS; MONTE CARLO METHOD; PARALLEL PROCESSING; FIELD THEORIES; PROGRAMMING; QUANTUM FIELD THEORY; 645400* - High Energy Physics- Field Theory; 990200 - Mathematics & Computers

### Citation Formats

```
Woch, T J.
```*Lattice studies of quantum chromodynamics in a special-purpose parallel-processing machine*. United States: N. p., 1988.
Web.

```
Woch, T J.
```*Lattice studies of quantum chromodynamics in a special-purpose parallel-processing machine*. United States.

```
Woch, T J. Fri .
"Lattice studies of quantum chromodynamics in a special-purpose parallel-processing machine". United States.
```

```
@article{osti_7265543,
```

title = {Lattice studies of quantum chromodynamics in a special-purpose parallel-processing machine},

author = {Woch, T J},

abstractNote = {A Monte Carlo study is presented of lattice Quantum Chromo-Dynamics near the deconfining phase transition on lattices of spatial size 16{sup 3}, 20{sup 3} and 24{sup 3} for N{sub t} = 4, 6, 10, and 16. These studies were carried out on a parallel processing machine, designed and built specifically for the calculations. The critical coupling for N{sub t} = 16 is determined to be 6.500 {plus minus} 0.036, which agrees with the prediction of perturbative scaling indicating continuum behavior. A broadening of the transition by nearly a factor of three is observed on 24{sup 3} {times} 6 as compared to 16{sup 3} {times} 4 which is attributed to the decrease in lattice spacing. 24{sup 3} is the largest volume on which these thermodynamics have yet been investigated, and the results are obtained from an order of magnitude greater statistics than have ever been reported in lattice gauge theory calculations.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1988},

month = {1}

}