Yang-Mills lattice on CUDA

Richard Forster, Agnes Fulop
Eotvos University
Acta Univ. Sapientiae, Informatica, 5, 2, 184-211, 2013


   title={Yang-Mills lattice on CUDA},

   author={FORSTER, Rich{‘a}rd and FULOP, Agnes},

   journal={Acta Univ. Sapientiae},






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The Yang-Mills fields have an important role in the non-Abelian gauge field theory which describes the properties of the quark-gluon 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.
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