A comparison of updating algorithms for large N reduced models

Pérez, Margarita García; González-Arroyo, Antonio; Keegan, Liam; Okawa, Masanori; Ramos, Alberto

doi:10.1007/JHEP06(2015)193

A comparison of updating algorithms for large N reduced models

Margarita García Pérez
(
- Madrid, IFT
)
,
Antonio González-Arroyo
(
- Madrid, Autonoma U. and
- Madrid, IFT
)
,
Liam Keegan
(
- CERN
)
,
Masanori Okawa
(
- Hiroshima U.
)
,
Alberto Ramos
(
- CERN
)

May 21, 2015

21 pages

Published in:

JHEP 06 (2015) 193

Published: Jun 29, 2015

e-Print:

1505.05784 [hep-lat]

DOI:

10.1007/JHEP06(2015)193

Report number:

CERN-PH-TH-2015-030,
IFT-UAM-CSIC-15-032,
FTUAM-15-10,
HUPD-1502

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Abstract: (Springer)

We investigate Monte Carlo updating algorithms for simulating SU(N ) YangMills fields on a single-site lattice, such as for the Twisted Eguchi-Kawai model (TEK). We show that performing only over-relaxation (OR) updates of the gauge links is a valid simulation algorithm for the Fabricius and Haan formulation of this model, and that this decorrelates observables faster than using heat-bath updates. We consider two different methods of implementing the OR update: either updating the whole SU(N ) matrix at once, or iterating through SU(2) subgroups of the SU(N ) matrix, we find the same critical exponent in both cases, and only a slight difference between the two.

Note:

21 pages, 4 figures

Matrix Models
Wilson
’t Hooft and Polyakov loops
Lattice Gauge Field Theories
1/N Expansion
Eguchi-Kawai model: twist
gauge field theory: SU(N)
critical phenomena
expansion 1/N
numerical calculations: Monte Carlo

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