Yang-Mills lattice on CUDA

The Yang-Mills fields have an important role in the non- Abelian gauge field theory which describes the properties of the quarkgluon plasma. The real time evolution of the classical fields is given by the equations of motion which are derived from the Hamiltonians to contain the term of the SU(2) ga...

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Bibliographic Details
Published inActa Universitatis Sapientiae. Informatica Vol. 5; no. 2; pp. 184 - 211
Main Authors Forster, Richárd, Fülöp, Ágnes
Format Journal Article
LanguageEnglish
Published De Gruyter Open 01.12.2013
Scientia Publishing House
Subjects
CUDA
GPU
lattice gauge field
parallel computing
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Summary:The Yang-Mills fields have an important role in the non- Abelian gauge field theory which describes the properties of the quarkgluon plasma. The real time evolution of the classical fields is given by the equations of motion which are derived from the Hamiltonians to contain the term of the SU(2) gauge field tensor. The dynamics of the classical lattice Yang-Mills equations are studied on a 3 dimensional regular lattice. During the solution of this system we keep the total energy on constant values and it satisfies the Gauss law. The physical quantities are desired to be calculated in the thermodynamic limit. The broadly available computers can handle only a small amount of values, while the GPUs provide enough performance to reach out for higher volumes of lattice vertices which approximates the aforementioned limit.
ISSN:2066-7760
2066-7760
DOI:10.2478/ausi-2014-0010