Fixed-Point Actions in 1-Loop Perturbation Theory

Details Fixed-Point Actions in 1-Loop Perturbation Theory Fixed-Point Actions in 1-Loop Perturbation Theory

1997-06-02

arxiv.org/abs/hep-lat/9706002v1

Nucl.Phys. B507 (1997) 399-415

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, Latex2e

Scientific paper

10.1016/S0550-3213(97)00553-1

It has been pointed out in recent papers that the example considered earlier in the O(N) sigma-model to test whether fixed-point actions are 1-loop perfect actually checked classical perfection only. To clarify the issue we constructed the renormalized trajectory explicitly in 1-loop perturbation theory. We found that the fixed-point action is not exactly 1-loop perfect. The cut-off effects are, however, strongly reduced also on the 1-loop level relative to those of the standard and tree level improved Symanzik actions. Some points on off- and on-shell improvement, Symanzik's program and fixed-point actions are also discussed.

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