A new way to deal with fermions in Monte Carlo simulations

作者: T Bakeyev

DOI: 10.1016/S0370-2693(01)01126-1

关键词: Diffusion Monte CarloMonte Carlo methodStatistical physicsOperator (physics)Kinetic Monte CarloPhysicsQuantum Monte CarloMathematical physicsMonte Carlo molecular modelingHybrid Monte CarloDynamic Monte Carlo method

摘要: Abstract An exact, nonlocal algorithm for Monte Carlo simulation of theories with dynamical fermions is proposed. The based on obtaining the new configuration U from old one by solving equation M( )η=ωM(U)η , where M fermionic operator, η random Gaussian vector, and ω real number close to unity. This can be used acceleration current simulations in Grassmann variables. A first test was done SU(3) QCD purely term action.

参考文章(18)
T. Bakeyev, Ph. de Forcrand, Noisy Monte Carlo algorithm reexamined Physical Review D. ,vol. 63, pp. 054505- ,(2001) , 10.1103/PHYSREVD.63.054505
A. Duncan, E. Eichten, H. Thacker, Efficient algorithm for QCD with light dynamical quarks Physical Review D. ,vol. 59, pp. 014505- ,(1998) , 10.1103/PHYSREVD.59.014505
M. Karowski, R. Schrader, H. J. Thun, Monte Carlo Simulations for Quantum Field Theories Involving Fermions Quantum Field Theory. ,vol. 97, pp. 5- 29 ,(1985) , 10.1007/978-3-642-70307-2_2
I. Montvay, Simulation of staggered fermions by polymer averaging Physics Letters B. ,vol. 227, pp. 260- 265 ,(1989) , 10.1016/S0370-2693(89)80033-4
A. Borrelli, Ph. de Forcrand, A. Galli, Non-hermitian exact local bosonic algorithm for dynamical quarks Nuclear Physics. ,vol. 477, pp. 809- 832 ,(1996) , 10.1016/0550-3213(96)00359-8
Michael Creutz, Counting world lines for many-fermion systems. Physical Review B. ,vol. 45, pp. 4650- 4655 ,(1992) , 10.1103/PHYSREVB.45.4650
C. Alexandrou, C. Alexandrou, F. Jegerlehner, A. Borrelli, Ph. de Forcrand, A. Galli, Full QCD with the Lüscher local bosonic action Nuclear Physics. ,vol. 456, pp. 296- 312 ,(1995) , 10.1016/0550-3213(98)00488-X
Michael Creutz, Evaluating Grassmann Integrals Physical Review Letters. ,vol. 81, pp. 3555- 3558 ,(1998) , 10.1103/PHYSREVLETT.81.3555
Simon Duane, A.D. Kennedy, Brian J. Pendleton, Duncan Roweth, Hybrid Monte Carlo Physics Letters B. ,vol. 195, pp. 216- 222 ,(1987) , 10.1016/0370-2693(87)91197-X
U.-J. Wiese, Bosonization and cluster updating of lattice fermions Physics Letters B. ,vol. 311, pp. 235- 240 ,(1993) , 10.1016/0370-2693(93)90561-U