1. Testing the efficiency of different improvement programs
- Author
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Andrea Pelissetto, Andrea Montanari, and Sergio Caracciolo
- Subjects
Physics ,Nuclear and High Energy Physics ,perfect action ,Computation ,High Energy Physics - Lattice (hep-lat) ,FOS: Physical sciences ,large-n expansion ,sigma-model ,Action (physics) ,Critical discussion ,Momentum ,finite-size scaling ,improvement ,High Energy Physics - Lattice ,Applied mathematics ,Limit (mathematics) ,Mass gap - 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., LaTex2e, 34 pages, 5 ps figures, uses epsf, epsfig, amsfont, cite.sty