We study the finite-size behaviour of a tree-level on-shell improved action for the N-vector model. We present numerical results for N = 3 and analytic results in the large-N limit for the mass gap. We also report a perturbative computation at one loop of the mass gap for states of spatial momentum p. We present a detailed comparison of the behaviour of this action with that of other formulations, including the perfect action, and a critical discussion of the different approaches to the problem of action improvement. (C) 1999 Elsevier Science B.V. All rights reserved.

Testing the efficiency of different improvement programs / Sergio, Caracciolo; Andrea, Montanari; Pelissetto, Andrea. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - STAMPA. - 556:1-2(1999), pp. 295-326. [10.1016/s0550-3213(99)00373-9]

Testing the efficiency of different improvement programs

PELISSETTO, Andrea
1999

Abstract

We study the finite-size behaviour of a tree-level on-shell improved action for the N-vector model. We present numerical results for N = 3 and analytic results in the large-N limit for the mass gap. We also report a perturbative computation at one loop of the mass gap for states of spatial momentum p. We present a detailed comparison of the behaviour of this action with that of other formulations, including the perfect action, and a critical discussion of the different approaches to the problem of action improvement. (C) 1999 Elsevier Science B.V. All rights reserved.
1999
finite-size scaling; improvement; large-n expansion; perfect action; sigma-model
01 Pubblicazione su rivista::01a Articolo in rivista
Testing the efficiency of different improvement programs / Sergio, Caracciolo; Andrea, Montanari; Pelissetto, Andrea. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - STAMPA. - 556:1-2(1999), pp. 295-326. [10.1016/s0550-3213(99)00373-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/244946
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