Can the Topological Susceptibility Be Calculated From SU($N$) Lattice Gauge Theories?

Gockeler, M.; Kronfeld, Andreas S.; Laursen, M.L.; Schierholz, G.; Wiese, U.J.

doi:10.1016/0370-2693(89)90640-0

Can the Topological Susceptibility Be Calculated From SU( $N$ ) Lattice Gauge Theories?

M. Gockeler
(
- Aachen, Tech. Hochsch.
)
,
Andreas S. Kronfeld
(
- Fermilab
)
,
M.L. Laursen
(
- Amsterdam U.
)
,
G. Schierholz
(
- DESY and
- Julich, NIC
)
,
U.J. Wiese
(
- DESY and
- Julich, NIC
)

Jun, 1989

5 pages

Published in:

Phys.Lett.B 233 (1989) 192-196

Published: 1989

DOI:

10.1016/0370-2693(89)90640-0

Report number:

DESY-89-065,
HLRZ-89-40

View in:

ADS Abstract Service

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Abstract: (Elsevier)

We re-examine the existence of the quantum continuum limit of the topological susceptibility χ t , as calculated by the geometric method. We find that χ t diverges for the standard Wilson action both for SU (2) and SU (3), whereas for certain improved and mixed fundamental-adjoint actions, that suppress small scale fluctuations, χ t is shown to converge. Alternative methods for computing the topological susceptibility are also examined.

gauge field theory: SU(2)
gauge field theory: SU(3)
lattice field theory: action
charge: topological
numerical calculations: Monte Carlo

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