Asymptotic Freedom Scales

Using Monte Carlo methods with Wilson's lattice cutoff, the asymptotic-freedom scales of SU(2) and SU(3) gauge theories without quarks are calculated.

GAUGE FIELD THEORY: SU(3)
GAUGE FIELD THEORY: SU(2)
GAUGE FIELD THEORY: ASYMPTOTIC FREEDOM
GAUGE FIELD THEORY: WILSON LOOP
NUMERICAL CALCULATIONS: MONTE CARLO
RENORMALIZATION GROUP: GELL-MANN-LOW
LATTICE FIELD THEORY: SHORT-DISTANCE BEHAVIOR
COUPLING CONSTANT
RENORMALIZATION: REGULARIZATION

References(11)

Figures(0)

Conservation of Isotopic Spin and Isotopic Gauge Invariance

Chen-Ning Yang
(
- Brookhaven
)
,
Robert L. Mills
(
- Brookhaven
)

- Phys.Rev. 96 (1954) 191-195,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 29-33, and in *Yang, C.N.: Selected Papers 1945-1980*, 172-176,
•
DOI:
- 10.1103/PhysRev.96.191

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

Asymptotic Behavior of Nonabelian Gauge Theories to Two Loop Order

William E. Caswell
(
- Princeton U.
)

- Phys.Rev.Lett. 33 (1974) 244
•
DOI:
- 10.1103/PhysRevLett.33.244

Quantum electrodynamics at small distances

Murray Gell-Mann
(
- Illinois U., Urbana
)
,
F.E. Low
(
- Illinois U., Urbana
)

- Phys.Rev. 95 (1954) 1300-1312
•
DOI:
- 10.1103/PhysRev.95.1300

Two Loop Diagrams in Yang-Mills Theory

D.R.T. Jones
(
- Oxford U.
)

- Nucl.Phys.B 75 (1974) 531,
- Marseille Colloq.,1974:68
•
DOI:
- 10.1016/0550-3213(74)90093-5

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

The Renormalization Prescription Dependence of the QCD Coupling Constant

- Phys.Rev.D 20 (1979) 1420
•
DOI:
- 10.1103/PhysRevD.20.1420

On the Wilson Loop Formula

Kevin E. Cahill
(
- Indiana U.
)
,
Daniel R. Stump
(
- Indiana U.
)

- Phys.Rev.D 20 (1979) 2096
•
DOI:
- 10.1103/PhysRevD.20.2096

Equation of state calculations by fast computing machines

- J.Chem.Phys. 21 (1953) 1087-1092
•
DOI:
- 10.1063/1.1699114

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