Perfect lattice action for asymptotically free theories

Hasenfratz, P.; Niedermayer, F.

doi:10.1016/0550-3213(94)90261-5

Perfect lattice action for asymptotically free theories

P. Hasenfratz
(
- Bern U.
)
,
F. Niedermayer
(
- Bern U.
)

Jul, 1993

36 pages

Published in:

Nucl.Phys.B 414 (1994) 785-814

e-Print:

hep-lat/9308004 [hep-lat]

DOI:

10.1016/0550-3213(94)90261-5

Report number:

BUTP-93-17

View in:

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Abstract:

There exist lattice actions which give cut--off independent physical predictions even on coarse grained lattices. Rotation symmetry is restored, the spectrum becomes exact and, in addition, the classical equations have scale invariant instanton solutions. This perfect action can be made short ranged. It can be determined by combining analytical calculations with numerical simulations on small lattices. We illustrate the method and the benefits on the

d=2

non--linear

\sigma

--model.

lattice field theory: action
asymptotic freedom
sigma model: nonlinear
dimension: 2
symmetry: O(3)
renormalization group: fixed point
block spin transformation
two-point function
lattice field theory: Lambda parameter
numerical calculations

References(63)

Figures(0)

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