A numerical study of Langevin QCD with dynamical quarks

Gavai, R. V. ; Potvin, J. ; Sanielevici, S. (1987) A numerical study of Langevin QCD with dynamical quarks Physics Letters B: Nuclear Physics and Particle Physics, 183 (1). pp. 86-90. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(87)91422-5


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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