2014/12/08 by R. J. Hudspith, Renwick J. Hudspith, Hudspith, R. J.
Engineering · Mathematics · Physics and Astronomy · #Condensed matter physics #Conjugate #Coulomb #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #Electron #FOS: Physical sciences #Gauge boson #Gauge fixing #Gauge theory #High Energy Physics - Lattice (hep-lat) #Landau quantization #Lattice (music) #Lattice gauge theory #Mathematics #Photonic and Optical Devices #Physics #Quantum electrodynamics #Quantum mechanics #Theoretical physics #hep-lat
paper · pdf · doi:10.48550/arxiv.1412.2807
published in arXiv (Cornell University) (Cornell University) · 7 pages, 5 figures; talk presented at Lattice 2014, the 32nd International Symposium on Lattice Field Theory, 23-28 June, 2014, Columbia University New York, NY
arxiv created 2014/12/08 · openalex publication_date 2014/12/08 · arxiv updated 2014/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide details expanding on our implementation of a non-linear conjugate gradient method with Fourier acceleration for lattice Landau and Coulomb gauge fixing. We find clear improvement over the Fourier accelerated steepest descent method, with the average time taken for the algorithm to converge to a fixed, high accuracy, being reduced by a factor of 2 to 4. We show such improvement for the logarithmic definition of the gauge fields here, having already shown this to be the case for a more common definition. We also discuss the implementation of an optimal Fourier accelerated steepest descent method.