Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

Finite Size Scaling and "perfect" actions: the three dimensional Ising model

Simple item page
dc.contributor.authorBallesteros, H.G.
dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorMuñoz Sudupe, Antonio
dc.date.accessioned2023-06-20T20:19:16Z
dc.date.available2023-06-20T20:19:16Z
dc.date.issued1998-11-26
dc.description© 1998 Elsevier Science B.V. All rights reserved. We thank Giorgio Parisi for an encouraging discussion on the feasibility of this work. We are also grateful to Juan Jesús Ruiz-Lorenzo for many interesting discussions and comments. This work has been partially supported by CICyT (contracts AEN97-1708, AEN97-1693) . The simulations have been carried out in the RTNN machines at Zaragoza and Complutense de Madrid Universities.
dc.description.abstractUsing Finite-Size Scaling techniques, we numerically show that the first irrelevant operator of the lattice λΦ^(4) theory in three dimensions is within errors completely decoupled at λ = 1.0. This interesting result also holds in the Thermodynamical Limit, where the renormalized coupling constant shows an extraordinary reduction of the scaling-corrections when compared with the Ising model. It is argued that Finite-Size Scaling analysis can be a competitive method for finding improved actions.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipCICyT, Spain
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/40751
dc.identifier.doi10.1016/S0370-2693(98)01100-9
dc.identifier.issn0370-2693
dc.identifier.officialurlhttp://doi.org/10.1016/S0370-2693(98)01100-9
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60079
dc.issue.number1-4
dc.journal.titlePhysics letters B
dc.language.isoeng
dc.page.final338
dc.page.initial330
dc.publisherElsevier Science BV
dc.relation.projectIDAEN97-1708
dc.relation.projectIDAEN97-1693
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.cdu51-73
dc.subject.keywordAntiferromagnetic RP(2) model
dc.subject.keywordAsymptotically free theories
dc.subject.keywordMonte-Carlo simulations
dc.subject.keywordCritical exponents
dc.subject.keywordRenormalization-group
dc.subject.keyword3 dimensions
dc.subject.keywordField-theory
dc.subject.keywordPercolation
dc.subject.keywordDynamics.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleFinite Size Scaling and "perfect" actions: the three dimensional Ising model
dc.typejournal article
dc.volume.number441
dcterms.references1) I. Montvay, G. Münster, Quantum Fields on a Lattice, Cambridge University Press, 1994 -- K. Binder, D.W. Heermann, Monte Carlo Simulations in Statistical Physics, Springer, Berlin, 1992. 2) M.N. Barber, Finite-size Scaling, in: C. Domb, J.L. Lebowitz (Eds.), Phase Transitions and Critical phenomena, vol. 8, Academic Press, New York, 1983. 3) K. Binder, Z. Phys. B, 43 (1981), p. 119. 4) H.W.J. Blöte, E. Luijten, J.R. Heringa, J. Phys. A, 28 (1995), p. 6289. 5) H.G. Ballesteros, L.A. Fernández, V. Martı́n-Mayor, A. Muñoz Sudupe, Phys. Lett. B, 387 (1996), p. 125. 6) H.G. Ballesteros, L.A. Fernández, V. Martı́n-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, cond-mat/9805125. 7) H.G. Ballesteros, L.A. Fernández, V. Martı́n-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, Nucl. Phys. B, 512 (1998) 681 -- J.J. Ruiz-Lorenzo, cond-mat/9804302. 8) K. Wilson, in: G.'t Hooft et al. (Eds.), Recent developments of gauge theories, Plenum, New York, 1980. 9) P. Hasenfratz, F. Niedermayer, Nucl. Phys. B, 414 (1994) 785 -- F. Niedermayer, Nucl. Phys. B (Proc. Suppl.), 53 (1997) 56 -- P. Hasenfratz, Nucl. Phys. B (Proc. Suppl.), 63 (1998) 53 -- P. Hasenfratz, hep-lat/9803027. 10) L.A. Fernández, A. Muñoz Sudupe, J.J. Ruiz-Lorenzo, A. Tarancón, Phys. Rev. D, 50 (1994), p. 5935. 11) M. Lüscher, P. Weisz, R. Sommer, U. Wolff, Nucl. Phys. B, 389 (1993) 247 -- K. Jansen, C. Liu, M. Lüscher, H. Simma, S. Sint, R. Sommer, P. Weisz, U. Wolff, Phys. Lett. B, 372 (1996) 275. 12) G.A. Baker, N. Kawashima, Phys. Rev. Lett., 75 (1995), p. 994. 13) R. Gupta, P. Tamayo, Int. J. Mod. Phys. C, 7 (1996) 305 -- C. Baillie, R. Gupta, K. Hawick, S. Pawley, Phys. Rev. B, 45 (1992) 10438. 14) G.A. Baker Jr., Quantitative Theory of Critical Phenomena, Academic, Boston, 1990. 15) M. Hasenbusch, K. Pinn, S. Vinti, cond-mat/9804186. 16) F. Cooper, B. Freedman, D. Preston, Nucl. Phys. B, 210 (1982), p. 210. 17) H.G. Ballesteros, L.A. Fernández, V. Martı́n-Mayor, A. Muñoz Sudupe, Phys. Lett. B, 378 (1996) 207 -- ibid, Nucl. Phys. B, 483 (1997) 707. 18) H.G. Ballesteros, L.A. Fernández, V. Martı́n-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, Phy. Rev. B, 58 (1998), p. 2740. 19) H.G. Ballesteros, L.A. Fernández, V. Martı́n-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, Phys. Lett. B, 400 (1997), p. 346. 20) H.G. Ballesteros, L.A. Fernández, V. Martı́n-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, J. Phys. A, 30 (1997), p. 8379. 21) J.H. Chen, M.E. Fisher, B.G. Nickel, Phys. Rev. Lett., 48 (1982), p. 630. 22) R.H. Swendsen, J.S. Wang, Phys. Rev. Lett., 58 (1987) 86 -- U. Wolff, Phys. Rev. Lett., 62 (1989) 361 -- R.C. Brower, P. Tamayo, Phys. Rev. Lett., 62 (1989) 1087. 23) M. Falcioni, E. Marinari, M.L. Paciello, G. Parisi, B. Taglienti, Phys. Lett. B, 108 (1982) 331 -- A.M. Ferrenberg, R.H. Swendsen, Phys. Rev. Lett., 61 (1988) 2635. 24) R. Guida, J. Zinn-Justin, cond-mat/9803240. 25) U. Wolff, Phys. Rev. Lett., 60 (1988), p. 1461. 26) F.J. Wegner, Phys. Rev. B, 5 (1972), p. 4529. 27) A. Pelissetto, E. Vicari, Nucl. Phys. B, 519 (1998), p. 626. 28) P. Butera, N. Comi, Phys. Rev. E, 55 (1997), p. 6391. 29) J.K. Kim, D.P. Landau, Nucl. Phys. B (Proc. Suppl.), 53 (1996), p. 706. 30) M. Lüscher, P. Weisz, U. Wolff, Nucl. Phys. B, 359 (1991) 221 -- J.K. Kim, Phys. Rev. Lett., 70 (1993) 1735 -- S. Caracciolo, R.G. Edwards, A. Pelissetto, A.D. Sokal, Phys. Rev. Lett., 75 (1995) 1895.
dspace.entity.typePublication
relation.isAuthorOfPublication146096b1-5825-4230-8ad9-b2dad468673b
relation.isAuthorOfPublication061118c0-eadf-4ee3-8897-2c9b65a6df66
relation.isAuthorOfPublication33f82d50-c0e4-4628-a384-f8b256a4a84e
relation.isAuthorOfPublication.latestForDiscovery146096b1-5825-4230-8ad9-b2dad468673b

Download

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
FernándezPérezLuisAntonio44LIBRE.pdf
Size:
138.94 KB
Format:
Adobe Portable Document Format
downoload Download

Collections

Artículos