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Generating SU(Nc) pure gauge lattice QCD configurations on GPUs with CUDA
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abstract
The starting point of any lattice QCD computation is the generation of a Markov chain of gauge field configurations. Due to the large number of lattice links and due to the matrix multiplications, generating SU(Nc) lattice QCD configurations is a highly demanding computational task, requiring advanced computer parallel architectures such as clusters of several Central Processing Units (CPUs) or Graphics Processing Units (GPUs). In this paper we present and explore the performance of CUDA codes for NVIDIA GPUs to generate SU(Nc) lattice QCD pure gauge configurations. Our implementation in one GPU uses CUDA and in multiple GPUs uses OpenMP and CUDA. We present optimized CUDA codes SU(2), SU(3) and SU(4). We also show a generic SU(Nc) code for Nc$\,\geq 4$ and compare it with the optimized version of SU(4). Our codes are publicly available for free use by the lattice QCD community.
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The spectrum of open confining strings in the large-Nc limit
The open flux-tube spectrum in SU(Nc) for Nc=3 to 6 shows massive axion-like states whose lightest mass, extrapolated to large Nc, is consistent with the worldsheet axion mass of the closed flux tube.
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