Departures From Scaling in SU(2) Lattice Gauge Theory

Gutbrod, F.

doi:10.1016/0370-2693(87)90314-5

Departures From Scaling in SU(2) Lattice Gauge Theory

F. Gutbrod
(
- DESY
)

Jun, 1986

6 pages

Published in:

Phys.Lett.B 186 (1987) 389-394

Published: 1987

DOI:

10.1016/0370-2693(87)90314-5

Report number:

DESY-86-065

View in:

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Abstract: (Elsevier)

High statistics Monte Carlo Data in SU(2) lattice gauge theory are presented. At β = 2.6 and β = 2.7 large deviations from scaling are observed for Creutz ratios, when 12 4 and 24 4 lattice data are compared. There is a trend towards a restauration of asymptotic scaling with increasing β, which vanishes if at the higher value of β larger loops are considered than at lower β. The static qq̄-potential and an upper limit for the string tension are given.

GAUGE FIELD THEORY: SU(2)
LATTICE FIELD THEORY: STRING TENSION
SCALING: VIOLATION
QUARK ANTIQUARK: POTENTIAL
NUMERICAL CALCULATIONS: MONTE CARLO

References(22)

Figures(0)

Monte Carlo Renormalization Group Studies of SU(3) Lattice Gauge Theory

et al.

- Nucl.Phys.B 257 (1985) 155-172,
- In *Argonne 1984, Proceedings, Gauge Theory On A Lattice: 1984*, 138-142,
- Nucl. Phys. B257 (1985) 155-172 and CERN Geneva - TH. 3952 (84,REC.AUG.) 15p
•
DOI:
- 10.1016/0550-3213(85)90341-4

The Beta Function and Potential at Beta = 6 and 6.3 in S(3) Gauge Theory

et al.

- Phys.Lett.B 163 (1985) 367-370
•
DOI:
- 10.1016/0370-2693(85)90298-9

Scaling of the Quark - Anti-quark Potential and Improved Actions in SU(2) Lattice Gauge Theory

F. Gutbrod
(
- DESY
)
,
I. Montvay
(
- Hamburg U.
)

- Phys.Lett.B 136 (1984) 411-417
•
DOI:
- 10.1016/0370-2693(84)92031-8

- Phys.Rev.Lett. 54 176

Monte Carlo Renormalization Group Investigations of the SU(2) Lattice Gauge Theory

A. Patel
(
- Caltech
)
,
R. Gupta
(
- Northeastern U.
)

- Nucl.Phys.B 251 (1985) 789-815
•
DOI:
- 10.1016/S0550-3213(85)80008-0

The Nonperturbative Beta Function for SU(2) Lattice Gauge Theory

- Phys.Lett.B 159 (1985) 143-147
•
DOI:
- 10.1016/0370-2693(85)90874-3

THE SU(2) DECONFINEMENT TEMPERATURE ON A BCH LATTICE

- Phys.Rev.D 33 (1986) 3022
•
DOI:
- 10.1103/PhysRevD.33.3022

The Deconfining Phase Transition and the Continuum Limit of Lattice Quantum Chromodynamics

Steven A. Gottlieb
(
- UC, San Diego
)
,
J. Kuti
(
- UC, San Diego
)
,
D. Toussaint
(
- UC, San Diego
)
,
A.D. Kennedy
(
- Santa Barbara, KITP
)
,
S. Meyer
(
- Kaiserslautern U.
)

et al.

- Phys.Rev.Lett. 55 (1985) 1958,
- Bari Europhys.High Energy 1985:121
•
DOI:
- 10.1103/PhysRevLett.55.1958

The Deconfining Phase Transition in Lattice QCD

Norman H. Christ
(
- Columbia U.
)
,
Anthony E. Terrano
(
- Columbia U.
)

- Phys.Rev.Lett. 56 (1986) 111
•
DOI:
- 10.1103/PhysRevLett.56.111

Scaling and String Tension in Pure SU(2) Lattice Gauge Theory

Fritz Gutbrod
(
- DESY
)

- Z.Phys.C 30 (1986) 585,
- Hamburg Desy - DESY 85-092 (85,REC.SEP.) 28p
•
DOI:
- 10.1007/BF01571807

Monte Carlo Study of Renormalization in Lattice Gauge Theory

Michael Creutz
(
- Brookhaven
)

- Phys.Rev.D 23 (1981) 1815
•
DOI:
- 10.1103/PhysRevD.23.1815

A VECTORIZED MONTE CARLO ALGORITHM FOR COMPUTING WILSON LINE OBSERVABLES IN SU(2) GAUGE THEORY ON A BCH LATTICE

- Comput.Phys.Commun. 36 (1985) 409
•
DOI:
- 10.1016/0010-4655(85)90030-X

A Measurement of the String Tension Near the Continuum Limit

- Phys.Lett.B 128 (1983) 418-420
•
DOI:
- 10.1016/0370-2693(83)90930-9

Another Connection Between the $\Lambda$ Parameters of the Euclidean Lattice and Continuum {QCD}

A. Billoire
(
- CERN
)

- Phys.Lett.B 104 (1981) 472-474
•
DOI:
- 10.1016/0370-2693(81)90517-7

String-Like Solutions of the Bag Model

K. Johnson
(
- MIT, LNS
)
,
Charles B. Thorn
(
- MIT, LNS
)

- Phys.Rev.D 13 (1976) 1934
•
DOI:
- 10.1103/PhysRevD.13.1934

The Effect of Colored Glue in the Charmonium Wave Function

L. Heller
(
- Los Alamos
)
,
K. Johnson
(
- MIT, LNS
)

- Phys.Lett.B 84 (1979) 501-506
•
DOI:
- 10.1016/0370-2693(79)91248-6

The Heavy Quark Static Potential in the Leading Log and the Leading Log Log Models

- Phys.Lett.B 117 (1982) 91,
- Phys.Lett.B 121 (1983) 455 (erratum),
•
DOI:
- 10.1016/0370-2693(82)90880-2

The Bag Model and the Adjoint String Tension

T.H. Hansson
(
- SUNY, Stony Brook
)

- Phys.Lett.B 166 (1986) 343-346
•
DOI:
- 10.1016/0370-2693(86)90814-2

- Phys.Lett.B 166 204

One Loop Perturbative Calculation of Wilson Loops on Finite Lattices

Urs M. Heller
(
- CERN
)
,
F. Karsch
(
- CERN
)

- Nucl.Phys.B 251 (1985) 254-278
•
DOI:
- 10.1016/0550-3213(85)90261-5

The Heavy Quark Potential in SU(2) Lattice Gauge Theory

John D. Stack
(
- Illinois U., Urbana
)

- Phys.Rev.D 27 (1983) 412,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 313-321. ( Phys. Rev. D27 ( 1983) 412-420) and Illinois Univ. Urbana - ILL-(TH)-82-21 (82,REC.AUG.) 32p
•
DOI:
- 10.1103/PhysRevD.27.412

The SU(3) Heavy Quark Potential with High Statistics

Steve W. Otto
(
- Caltech
)
,
John D. Stack
(
- Illinois U., Urbana
)

- Phys.Rev.Lett. 52 (1984) 2328
•
DOI:
- 10.1103/PhysRevLett.52.2328