- Access by Xinjiang University
Simulating lattice fermions by microcanonically averaging out the nonlocal dependence of the fermionic action
Phys. Rev. D 43, 3487 – Published 15 May, 1991
DOI: https://doi.org/10.1103/PhysRevD.43.3487
Abstract
We attempt to increase the efficiency of simulations of dynamical fermions on the lattice by calculating the fermionic determinant just once for all the values of the theory's gauge coupling and flavor number. Our proposal is based on the determination of an effective fermionic action by the calculation of the fermionic determinant averaged over configurations at fixed gauge energy. The feasibility of our method is justified by the observed volume dependence of the fluctuations of the logarithm of the determinant. The algorithm we have used in order to calculate the fermionic determinant, based on the determination of all the eigenvalues of the fermionic matrix at zero mass, also enables us to obtain results at any fermion mass, with a single fermionic simulation. We test the method by simulating compact lattice QED, finding good agreement with other standard calculations. New results on the phase transition of compact QED with massless fermions on and lattices are also presented.
References (20)
- E. Marinari, in Lattice '88, Proceedings of the International Symposium, Batavia, Illinois, 1988, edited by A. S. Kronfeld and P. B. Mackenzie, [Nucl. Phys. B (Proc. Suppl.) 9, 209 (1989)]
- D. Weingarten, in Lattice '88 ([1]), p. 447
- F. Fucito, E. Marinari, G. Parisi, and C. Rebbi, Nucl. Phys. B180, 369 (1981) J. Polonyi and H. Wyld, Phys. Rev. Lett. 51, 2257 (1983) G. Bhanot, U. M. Heller, and I. O. Stamatescu, Phys. Lett. 129B, 440 (1983) P. Rossi and D. Zwanziger, Nucl. Phys. B234, 261 (1984) M. Grady, Phys. Rev. D 32, 1496 (1985)
Omitted endnote
- S. Duane, Nucl. Phys. B257, 652 (1985) S. Duane and J. B. Kogut, ibid. B275, 398 (1986)
- S. Duane, A. D. Kennedy, B. J. Pendleton, and D. Roweth, Phys. Lett. B 195, 216 (1987)
- G. G. Batrouni, G. R. Katz, A. S. Kronfeld, G. P. Lepage, B. Svetitsky, and K. G. Wilson, Phys. Rev. D 32, 2736 (1985)
- Y. Oyanagi, Comput. Phys. Commun. 42, 33 (1986)
- V. Azcoiti, G. Di Carlo, and A. F. Grillo, Phys. Rev. Lett. 65, 2239 (1990)
- V. Azcoiti, A. Cruz, E. Dagotto, A. Moreo, and A. Lugo, Phys. Lett. B 175, 202 (1986)
- E. Dagotto and J. Kogut, Nucl. Phys. B295 [FS21], 123 (1988)
- J. Kogut and E. Dagotto, Phys. Rev. Lett. 59, 617 (1987)
- A. Hasenfratz and P. Hasenfratz, Phys. Lett. 104B, 489 (1981)
- V. Azcoiti, A. Cruz, G. Di Carlo, and A. Tarancón, in Lattice '89, Proceedings of the International Symposium, Capri, Italy, 1989, edited by R. Petronzio [Nucl. Phys. B (Proc. Suppl.) 17, 727 (1990)]
- A. Vladikas, in Field Theory on the Lattice, Proceedings of the International Symposium, Seillac, France, 1987, edited by A. Billoire [Nucl. Phys. B (Proc. Suppl.) 4, 322 (1988)] I. Barbour, in Lattice '88 ([1]), p. 339
- T. Jolicoeur, H. Kluberg-Stern, A. Morel, M. Lev, and B. Petersson, Nucl. Phys. B235 [FS11], 468 (1984)
- V. Azcoiti, A. Cruz, G. Di Carlo, and A. Tarancón, Phys. Lett. B 231, 136 (1989)
- S. L. Adler, Phys. Rev. D 23, 2901 (1981) M. Creutz, ibid. 36, 515 (1986) F. R. Brown and T. J. Woch, Phys. Rev. Lett. 58, 2394 (1987) S. L. Adler, Phys. Rev. D 37, 458 (1989)
- M. Falcioni, E. Marinari, M. L. Paciello, G. Parisi, and B. Taglienti, Phys. Lett. 108B, 351 (1982) A. M. Ferrenberg and R. Swendsen, Phys. Rev. Lett. 61, 2635 (1988)
- V. Azcoiti, G. Di Carlo, and A. F. Grillo, Phys. Lett. B 238, 355 (1990)