The absence of cut--off effects for the fixed point action in 1--loop perturbation theory

Details The absence of cut--off effects for the fixed point action in 1--loop perturbation theory The absence of cut--off effects for the fixed point action in 1--loop perturbation theory

1995-06-28

arxiv.org/abs/hep-lat/9506032v1

Nucl.Phys. B454 (1995) 638-644

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages (latex) + 1 figure (Postscript), uuencoded

Scientific paper

10.1016/0550-3213(95)00460-A

In order to support the formal renormalization group arguments that the fixed point action of an asymptotically free model gives cut--off independent physical predictions in 1--loop perturbation theory, we calculate the finite volume mass--gap $m(L)$ in the non--linear $\sigma$--model. No cut--off effect of the type $g^4\left(a/L\right)^n$ is seen for any $n$. The results are compared with those of the standard and tree level improved Symanzik actions.

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