Testing the efficiency of different improvement programs

被引:5
作者
Caracciolo, S
Montanari, A
Pelissetto, A
机构
[1] Scuola Normale Super Pisa, I-56100 Pisa, Italy
[2] Ist Nazl Fis Nucl, Sez Pisa, I-56100 Pisa, Italy
[3] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[4] Ist Nazl Fis Nucl, Dipartimento Fis, Sez Roma 1, I-00185 Rome, Italy
关键词
improvement; sigma-model; perfect action; finite-size scaling; large-N expansion;
D O I
10.1016/S0550-3213(99)00373-9
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
引用
收藏
页码:295 / 326
页数:32
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