Comparing theR algorithm and RHMC for staggered fermions
نویسندگان
چکیده
منابع مشابه
Comparing the R algorithm and RHMC for staggered fermions
The R algorithm is widely used for simulating two flavours of dynamical staggered fermions. We give a simple proof that the algorithm converges to the desired probability distribution to within O(δτ ) errors, but show that the relevant expansion parameter is (δτ/m), m being the quark mass. The Rational Hybrid Monte Carlo (RHMC) algorithm provides an exact (i.e., has no step size errors) alterna...
متن کاملThe RHMC Algorithm for 2 Flavours of Dynamical Staggered Fermions
Computations with two flavours of dynamical staggered quarks are quite popular at present. There are a number of possible problems with such calculations such as flavour symmetry breaking and non-locality of the square-root of the fourflavour action. In this investigation we shall ignore these and consider only the possible errors introduced through algorithmic approximations. We propose the us...
متن کاملstaggered fermions ∗
We address the locality problem arising in simulations, which take the square root of the staggered fermion determinant as a Boltzmann weight to reduce the number of dynamical quark tastes from four to two. We study analytically and numerically the square root of the staggered fermion operator as a candidate to define a two taste theory from first principles. Although it has the correct weight,...
متن کاملA domain decomposition algorithm for improved staggered fermions on GPUs
Lattice QCD is a numerical approach to the theory of the strong interaction. Calculations in this field answer fundamental questions about the nature of matter, provide insight into the evolution of the early universe, and play a crucial role in the search for new theories beyond the Standard Model of elementary particle physics. Massive computational resources are needed to achieve these goals...
متن کاملAlgorithm Shootout: R versus RHMC
We present initial results comparing the RHMC and R algorithms on large lattices with small quark masses using chiral fermions. We also present results concerning staggered fermions near the deconfinement/chiral phase transition. We find that the RHMC algorithm not only eliminates the step-size error of the R algorithm, but is also considerably more efficient. We discuss several possibilities f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2003
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(03)01748-1