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The effective string and SU(2) lattice MC data

Flensburg, M. ; Irbäck, A. LU orcid and Peterson, C. LU (1987) In Zeitschrift für Physik C Particles and Fields 36(4). p.629-637
Abstract

We present high statistics MC calculations of the static potential in three-dimensional SU(2) for a wide range of β values on a 243 lattice. The deviations from area law are unambiguously demonstrated by use of 2nd lattice R derivative. After a clear crossover at β=4.5 the data show signs of an effective string roughening up to β=6.5, while scaling is not strictly obeyed in this interval. Pure fermionic strings do not provide better fits. The effect of regularization prescription on the effective string model up to two-loop correction is discussed and is found to be small. We also make a comparative study of existing data on Z(2) and SU(3) together with new data on fourdimensional SU(2) presented here. It is pointed out that... (More)

We present high statistics MC calculations of the static potential in three-dimensional SU(2) for a wide range of β values on a 243 lattice. The deviations from area law are unambiguously demonstrated by use of 2nd lattice R derivative. After a clear crossover at β=4.5 the data show signs of an effective string roughening up to β=6.5, while scaling is not strictly obeyed in this interval. Pure fermionic strings do not provide better fits. The effect of regularization prescription on the effective string model up to two-loop correction is discussed and is found to be small. We also make a comparative study of existing data on Z(2) and SU(3) together with new data on fourdimensional SU(2) presented here. It is pointed out that standard variance reduction methods as applied especially to Wilson lines are plagued by severe long range auto-correlations, whereas larger Wilson loops are less affected.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Zeitschrift für Physik C Particles and Fields
volume
36
issue
4
pages
9 pages
publisher
Springer
external identifiers
  • scopus:33744670311
ISSN
0170-9739
DOI
10.1007/BF01630599
language
English
LU publication?
yes
id
8f163a94-d75b-48f9-b7b0-526ac1cf81b1
date added to LUP
2019-05-14 15:17:15
date last changed
2024-01-01 04:34:06
@article{8f163a94-d75b-48f9-b7b0-526ac1cf81b1,
  abstract     = {{<p>We present high statistics MC calculations of the static potential in three-dimensional SU(2) for a wide range of β values on a 24<sup>3</sup> lattice. The deviations from area law are unambiguously demonstrated by use of 2nd lattice R derivative. After a clear crossover at β=4.5 the data show signs of an effective string roughening up to β=6.5, while scaling is not strictly obeyed in this interval. Pure fermionic strings do not provide better fits. The effect of regularization prescription on the effective string model up to two-loop correction is discussed and is found to be small. We also make a comparative study of existing data on Z(2) and SU(3) together with new data on fourdimensional SU(2) presented here. It is pointed out that standard variance reduction methods as applied especially to Wilson lines are plagued by severe long range auto-correlations, whereas larger Wilson loops are less affected.</p>}},
  author       = {{Flensburg, M. and Irbäck, A. and Peterson, C.}},
  issn         = {{0170-9739}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{629--637}},
  publisher    = {{Springer}},
  series       = {{Zeitschrift für Physik C Particles and Fields}},
  title        = {{The effective string and SU(2) lattice MC data}},
  url          = {{http://dx.doi.org/10.1007/BF01630599}},
  doi          = {{10.1007/BF01630599}},
  volume       = {{36}},
  year         = {{1987}},
}