Stochastic confinement and dimensional reduction. (I). Four-dimensional SU(2) lattice gauge theory

J. Ambjørn; P. Olesen; C. Peterson

doi:10.1016/0550-3213(84)90475-9

Stochastic confinement and dimensional reduction. (I). Four-dimensional SU(2) lattice gauge theory

J. Ambjørn, P. Olesen, C. Peterson

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Abstract

By Monte Carlo calculations on a 12⁴ lattice we investigate four-dimensional SU(2) lattice gauge theory with respect to the conjecture that at large distances this theory reduces approximately to two-dimensional SU(2) lattice gauge theory. We find good numerical evidence for this conjecture. As a by-product we also measure the SU(2) string tension and find reasonable agreement with scaling. The "adjoint string tension" is also found to have a reasonable scaling behaviour.

Original language	English
Pages (from-to)	189-212
Number of pages	24
Journal	Nuclear Physics, Section B
Volume	240
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(84)90475-9
Publication status	Published - 1984 Sept 10

Subject classification (UKÄ)

Mathematical Sciences

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10.1016/0550-3213(84)90475-9

Cite this

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title = "Stochastic confinement and dimensional reduction. (I). Four-dimensional SU(2) lattice gauge theory",

abstract = "By Monte Carlo calculations on a 124 lattice we investigate four-dimensional SU(2) lattice gauge theory with respect to the conjecture that at large distances this theory reduces approximately to two-dimensional SU(2) lattice gauge theory. We find good numerical evidence for this conjecture. As a by-product we also measure the SU(2) string tension and find reasonable agreement with scaling. The {"}adjoint string tension{"} is also found to have a reasonable scaling behaviour.",

author = "J. Ambj{\o}rn and P. Olesen and C. Peterson",

year = "1984",

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doi = "10.1016/0550-3213(84)90475-9",

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T1 - Stochastic confinement and dimensional reduction. (I). Four-dimensional SU(2) lattice gauge theory

AU - Ambjørn, J.

AU - Olesen, P.

AU - Peterson, C.

PY - 1984/9/10

Y1 - 1984/9/10

N2 - By Monte Carlo calculations on a 124 lattice we investigate four-dimensional SU(2) lattice gauge theory with respect to the conjecture that at large distances this theory reduces approximately to two-dimensional SU(2) lattice gauge theory. We find good numerical evidence for this conjecture. As a by-product we also measure the SU(2) string tension and find reasonable agreement with scaling. The "adjoint string tension" is also found to have a reasonable scaling behaviour.

AB - By Monte Carlo calculations on a 124 lattice we investigate four-dimensional SU(2) lattice gauge theory with respect to the conjecture that at large distances this theory reduces approximately to two-dimensional SU(2) lattice gauge theory. We find good numerical evidence for this conjecture. As a by-product we also measure the SU(2) string tension and find reasonable agreement with scaling. The "adjoint string tension" is also found to have a reasonable scaling behaviour.

U2 - 10.1016/0550-3213(84)90475-9

DO - 10.1016/0550-3213(84)90475-9

M3 - Article

AN - SCOPUS:33744595681

SN - 0550-3213

VL - 240

SP - 189

EP - 212

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2

ER -

Stochastic confinement and dimensional reduction. (I). Four-dimensional SU(2) lattice gauge theory

Abstract

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