Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory

Berg BA, Clarke D (2017)
Physical Review D 95(9): 094508.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Berg, Bernd A.; Clarke, DavidUniBi
Abstract / Bemerkung
We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining phase transition, the gradient flow and the cooling flow to set the scale. For the gradient and cooling scales we explore three different energy observables and two distinct reference values for the flow time. When the aim is to follow scaling towards the continuum limit, one gains at least a factor of 100 in computational efficiency by relying on the gradient instead of the deconfinement scale. Using cooling instead of the gradient flow one gains another factor of at least 34 in computational efficiency on the gradient flow part without any significant loss in the accuracy of scale setting. Concerning our observables, the message is to keep it simple. The Wilson action itself performs as well as or even better than the other two observables explored. Two distinct fitting forms for scaling are compared, of which one connects to asymptotic scaling. Differences of the obtained estimates show that systematic errors of length ratios, though only about 1%, can be considerably larger than statistical errors of the same observables.
Erscheinungsjahr
2017
Zeitschriftentitel
Physical Review D
Band
95
Ausgabe
9
Art.-Nr.
094508
ISSN
2470-0010
eISSN
2470-0029
Page URI
https://pub.uni-bielefeld.de/record/2950140

Zitieren

Berg BA, Clarke D. Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory. Physical Review D. 2017;95(9): 094508.
Berg, B. A., & Clarke, D. (2017). Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory. Physical Review D, 95(9), 094508. https://doi.org/10.1103/PhysRevD.95.094508
Berg, B. A., and Clarke, D. (2017). Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory. Physical Review D 95:094508.
Berg, B.A., & Clarke, D., 2017. Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory. Physical Review D, 95(9): 094508.
B.A. Berg and D. Clarke, “Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory”, Physical Review D, vol. 95, 2017, : 094508.
Berg, B.A., Clarke, D.: Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory. Physical Review D. 95, : 094508 (2017).
Berg, Bernd A., and Clarke, David. “Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory”. Physical Review D 95.9 (2017): 094508.

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