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



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Ballesteros, H.G. and Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Muñoz Sudupe, Antonio (1998) Finite Size Scaling and "perfect" actions: the three dimensional Ising model. Physics letters B, 441 (1-4). pp. 330-338. ISSN 0370-2693

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Using 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.

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© 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.

Uncontrolled Keywords:Antiferromagnetic RP(2) model; Asymptotically free theories; Monte-Carlo simulations; Critical exponents; Renormalization-group; 3 dimensions; Field-theory; Percolation; Dynamics.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:40751
Deposited On:18 Jan 2017 10:49
Last Modified:18 Jan 2017 10:49

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