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Published September 15, 1989 | public
Journal Article Open

QCD with dynamical Wilson fermions

Abstract

We present results from a study of QCD with two flavors of Wilson fermions using the hybrid Monte Carlo algorithm, which incorporates the effects of fermion loops exactly. We evaluate the performance of the algorithm and its potential for large-scale computations. We argue that in the best case the algorithm slows down as V^(5/4)mq^(-13/4) at a fixed gauge coupling. We present improved algorithms for calculating the inverse and the determinant of the Wilson fermion operator. Results for the finite-temperature transition on 4×6^3 and 6×8^3 lattices are presented at β=5.2-5.6. We also give Wilson loop expectation values obtained on 84 lattices at β=5.3 for six values of κ. The data show evidence for screening in the qq̅ potential. Lastly, on comparing Wilson and staggered-fermion results we find that β=5.3 is far from the scaling region.

Additional Information

©1989 The American Physical Society Received 27 March 1989 This calculation was performed on the Cray X-MP's at the Los Alamos National Laboratory, the DD Dvision of CERN, the San Diego Supercomputer Center, the National Magnetic Fusion Energy Computer Center at Livermore, and on Trace minisupercomputers at Multiflow Computer Inc. We thank these organizations for their support. We acknowledge useful conversations with Giorgio Parisi and Akira Ukawa on matrix inversion algorithms.

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August 22, 2023
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