Algorithms for Lattice QCD with Dynamical Fermions
โ Scribed by A.D. Kennedy
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 833 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0920-5632
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โฆ Synopsis
We consider recent progress in algorithms for generating gauge field configurations that include the dynamical effects of light fermions. We survey what has been achieved in recent state-of-the-art computations, and examine the trade-offs between performance and control of systematic errors. We briefly review the use of polynomial and rational approximations in Hybrid Monte Carlo algorithms, and some of the theory of on-shell chiral fermions on the lattice. This provides a theoretical framework within which we compare algorithmic alternatives for their implementation; and again we examine the trade-offs between speed and error control.
๐ SIMILAR VOLUMES
We discuss the implementation of a Sheikholeslami-Wohlert term for simulations of lattice QCD with dynamical Wilson fermions as required by Symanzik's improvement program. We show that for the Hybrid Monte Carlo or Kramers equation algorithm standard even-odd preconditioning can be maintained. We de
We present results of a hybrid Monte-Carlo algorithm for dynamical, n f = 2, four-dimensional QCD with overlap fermions. The fermionic force requires careful treatment, when changing topological sectors. The pion mass dependence of the topological susceptibility is studied on 6 4 and 12 โข 6 3 lattic