A numerical study of Langevin QCD with dynamical quarks |
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| Institution: | 1. Department of Orthopaedics and Traumatology, Li Ka Shing Faculty of Medicine, The University of Hong Kong, Pokfulam, PR China;2. Department of Orthopaedics, Sun Yat-Sen Memorial Hospital, Sun Yat-Sen University, Guangzhou, PR China;3. Department of Orthopaedics, Guangdong Provincial People''s Hospital, Guangdong Academy of Medical Sciences, Guangzhou, RP, China;4. Department of Orthopaedics, Academy of Orthopedics·Guangdong Province, Guangdong Provincial Key Laboratory of Bone and Joint Degeneration Diseases, The Third Affiliated Hospital of Southern Medical University, Guangzhou, RP, China;5. Bone''s Technology Limited, Hong Kong;6. Department of Orthopaedics, The University of Hong Kong–Shenzhen Hospital, Shenzhen, PR China;7. Division of Spinal Surgery, Department of Orthopaedics, Nanfang Hospital, Southern Medical University, Guangzhou, PR China;8. Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen, PR China |
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| Abstract: | QCD with four flavours of dynamical staggered quarks of mass ma=0.1 is simulated on a 44 lattice, using two versions of the second order Langevin algorithm with bilinear noise: the naive version and one which compensates for the non-integrable term which appears to first order in the discrete Langevin time step size. Comparison with the results of an exact numerical computation of the fermion determinant reveals that these algorithms yield accurate results only at rather small values of the step size. The correction due to the non-integrable term is quantitatively unimportant for such step sizes. |
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