Compact Gauge Fields and the Infrared Catastrophe

It is shown that infrared phenomena in the gauge theories are guided by certain classical solutions of the Yang-Mills equations. The existence of such solutions can lead to a finite correlation length which stops infrared catastrophe. In the present paper we deal only with theories with a compact but abelian gauge group. In this case the problems of correlation length and charge confinement are completely solved.

GAUGE FIELD THEORY
FIELD THEORY: INFRARED PROBLEM
FIELD THEORETICAL MODEL: YANG-MILLS
FIELD EQUATIONS
CORRELATION: LENGTH
CHARGE: CONFINEMENT
QUANTUM ELECTRODYNAMICS
POSTULATED PARTICLE: MAGNETIC MONOPOLE

References(4)

Figures(0)

[1]

Asymptotically Free Gauge Theories - I

D.J. Gross
(
- Fermilab and
- Princeton U.
)
,
Frank Wilczek
(
- Princeton U.
)

- Phys.Rev.D 8 (1973) 3633-3652,
- Also in *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 247-266,
- In *Mohapatra, R. N. (Ed.), Lai, C. H. (Ed.): Gauge Theories Of Fundamental Interactions*, 337-356
•
DOI:
- 10.1103/PhysRevD.8.3633

[1]

Nonabelian Gauge Theories of the Strong Interactions

Steven Weinberg
(
- Harvard U.
)

- Phys.Rev.Lett. 31 (1973) 494-497,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 357-360, and in *Froggatt, C.D., Nielsen, H.B.: Origin of symmetries* 256-259
•
DOI:
- 10.1103/PhysRevLett.31.494

[2]

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

[3]

Gauge Fields on a Lattice. 1. General Outlook

- Phys.Rev.D 10 (1974) 3376,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 74-93. ( Phys. Rev. D10 ( 1974) 3376-3395) and Saclay Cen - D.PH.T-74-038 (74,REC.JUN.) 53p
•
DOI:
- 10.1103/PhysRevD.10.3376