Instantons and Confinement in the SU(2) Lattice Gauge Theory

Polikarpov, M.I.; Veselov, A.I.

doi:10.1016/0550-3213(88)90198-8

Instantons and Confinement in the SU(2) Lattice Gauge Theory

M.I. Polikarpov
(
- Moscow, ITEP
)
,
A.I. Veselov
(
- Moscow, ITEP
)

Feb, 1987

13 pages

Published in:

Nucl.Phys.B 297 (1988) 34-46

Published: 1988

DOI:

10.1016/0550-3213(88)90198-8

Report number:

ITEP-41-1987

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Abstract: (Elsevier)

We study the properties of gauge field configurations obtained by freezing the quantum fluctuations of the gauge fields on the lattice. The freezing process is subdivided into three regions: instanton-anti-instanton vacuum, the annihilation of (anti)instantons, and classical solutions. We obtain the distribution of instanton sizes, ϱ, and the distribution of interinstanton distances, R . The average value of the ratio R / ϱ is 2.3. The contribution of the multi-instanton configurations to the value of the string tension is 5%.

GAUGE FIELD THEORY: SU(2)
LATTICE FIELD THEORY: VACUUM STATE
LATTICE FIELD THEORY: STRING TENSION
EFFECT: INSTANTON
FERMION: CONFINEMENT
FERMION: CONDENSATION
NUMERICAL CALCULATIONS: MONTE CARLO

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