Comparing Different Improvement Programs for the N-Vector Model

Details Comparing Different Improvement Programs for the N-Vector Model Comparing Different Improvement Programs for the N-Vector Model

1996-10-10

arxiv.org/abs/hep-lat/9610015v2

Phys.Lett. B402 (1997) 335-340

Physics

High Energy Physics

High Energy Physics - Lattice

We clarify that the discrepancy noted previuosly between the on-shell and the Symanzik programs is a pathology of the large N

Scientific paper

10.1016/S0370-2693(97)00495-4

We discuss the connection between various types of improved actions in the
context of the two-dimensional sigma-model. We also discuss spectrum-improved
actions showing that these actions do not have any improved behaviour. An
O(a^2) on-shell improved action with all couplings defined on a plaquette and
satisfying reflection positivity is also explicitly constructed.

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