Estimate of the Relation Between Scale Parameters and the String Tension by Strong Coupling Methods

We estimate the relation between the scale parameter Λ L and the string tension α in pure SU(3) gauge theory using strong coupling expansions for euclidean lattice gauge theory up to 12th order. The result is Λ L =3.7 × 10 −3 √ α . For the more conventional scale parameter Λ MOM this gives Λ MOM = 0.31 √ α by use of the proportionality factor of Hasenfratz. Results for the string tension of Z 3 lattice gauge theory are also discussed.

GAUGE FIELD THEORY: SU(3)
GAUGE FIELD THEORY: EUCLIDEAN
LATTICE FIELD THEORY: STRING TENSION
EXPANSION: STRONG COUPLING
STRONG COUPLING: EXPANSION
LATTICE FIELD THEORY: LAMBDA PARAMETER
GAUGE FIELD THEORY: Z(3)
NUMERICAL CALCULATIONS
SCALING

References(17)

Figures(0)

Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

Sidney R. Coleman
(
- Harvard U.
)
,
Erick J. Weinberg
(
- Harvard U.
)

- Phys.Rev.D 7 (1973) 1888-1910,
- Also in *Mohapatra, R. N. ( Ed.), Lai, C. H. ( Ed.): Gauge Theories Of Fundamental Interactions*, 57-79,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 589-611.
•
DOI:
- 10.1103/PhysRevD.7.1888

Dynamical Symmetry Breaking in Asymptotically Free Field Theories

- Phys.Rev.D 10 (1974) 3235
•
DOI:
- 10.1103/PhysRevD.10.3235

Confinement of Quarks

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.D 10 (1974) 2445-2459,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 45-59. ( Phys. Rev. D10 ( 1974) 2445-2459) and Cornell Univ. Ithaca - CLNS-74-262 (74,REC.MAR.) 47p,
•
DOI:
- 10.1103/PhysRevD.10.2445

Hamiltonian Formulation of Wilson's Lattice Gauge Theories

John B. Kogut
(
- Cornell U., LNS
)
,
Leonard Susskind
(
- Yeshiva U. and
- Tel Aviv U. and
- Cornell U., LNS
)

- Phys.Rev.D 11 (1975) 395-408
•
DOI:
- 10.1103/PhysRevD.11.395

Gauge Field Theories on the Lattice

K. Osterwalder
(
- Harvard U.
)
,
E. Seiler
(
- Princeton U.
)

- Annals Phys. 110 (1978) 440,
- Salerno Soliton Wkshp.1977:0201
•
DOI:
- 10.1016/0003-4916(78)90039-8

Reliable Perturbative Results for Strong Interactions?

H.David Politzer
(
- Harvard U.
)

- Phys.Rev.Lett. 30 (1973) 1346-1349,
- Also in *Mohapatra, R. N. (Ed.), Lai, C. H. (Ed.): Gauge Theories Of Fundamental Interactions*, 333-336, and in *Rebbi, C. (Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 237-240,
- In *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 243-246,
•
DOI:
- 10.1103/PhysRevLett.30.1346

Ultraviolet Behavior of Nonabelian Gauge Theories

David J. Gross
(
- Princeton U.
)
,
Frank Wilczek
(
- Princeton U.
)

- Phys.Rev.Lett. 30 (1973) 1343-1346,
- Also in *Rebbi, C. (Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 233-236,
•
DOI:
- 10.1103/PhysRevLett.30.1343

An Introduction to Lattice Gauge Theory and Spin Systems

John B. Kogut
(
- Illinois U., Urbana
)

- Rev.Mod.Phys. 51 (1979) 659
•
DOI:
- 10.1103/RevModPhys.51.659

The QCD beta Function at Intermediate and Strong Coupling

- Phys.Rev.Lett. 43 (1979) 484-486,
- In *Rebbi, C. (ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 255-257
•
DOI:
- 10.1103/PhysRevLett.43.484

$Z(N$ ) Topological Excitations in {Yang-Mills} Theories: Duality and Confinement

Tamiaki Yoneya
(
- City Coll., N.Y.
)

- Nucl.Phys.B 144 (1978) 195-218
•
DOI:
- 10.1016/0550-3213(78)90502-3

Duality for $Z(N$ ) Gauge Theories

C.P. Korthals Altes
(
- Marseille, CPT
)

- Nucl.Phys.B 142 (1978) 315-326
•
DOI:
- 10.1016/0550-3213(78)90207-9

Asymptotic Freedom in Deep Inelastic Processes in the Leading Order and Beyond

Andrzej J. Buras
(
- Fermilab
)

- Rev.Mod.Phys. 52 (1980) 199,
- Ames Wkshp.1978:634
•
DOI:
- 10.1103/RevModPhys.52.199

Charmonium: Comparison with Experiment

- Phys.Rev.D 21 (1980) 203
•
DOI:
- 10.1103/PhysRevD.21.203

Quantum dynamics of a massless relativistic string

- Nucl.Phys.B 56 (1973) 109-135
•
DOI:
- 10.1016/0550-3213(73)90223-X

The Phase Structure of Discrete Abelian Spin and Gauge Systems

- Phys.Rev.D 19 (1979) 3698
•
DOI:
- 10.1103/PhysRevD.19.3698

Dual Variables for Lattice Gauge Theories and the Phase Structure of Z(N) Systems

- Phys.Rev.D 21 (1980) 1013
•
DOI:
- 10.1103/PhysRevD.21.1013

Monte Carlo Study of Abelian Lattice Gauge Theories

- Phys.Rev.D 20 (1979) 1915,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 182-189. ( Phys. Rev. D20 ( 1979) 1915-1922) and Brookhaven Nat. Lab. Upton - BNL-26307 (79,REC.SEP.) 36p
•
DOI:
- 10.1103/PhysRevD.20.1915