Properties of the Abelian projection fields in SU(N) lattice gluodynamics

Polikarpov, M.I.; Yee, Kenton K.

doi:10.1016/0370-2693(93)90334-E

Properties of the Abelian projection fields in SU(N) lattice gluodynamics

M.I. Polikarpov
(
- Moscow, ITEP
)
,
Kenton K. Yee
(
- Louisiana State U.
)

Jun 21, 1993

12 pages

Published in:

Phys.Lett.B 316 (1993) 333-338

e-Print:

hep-lat/9306014 [hep-lat]

DOI:

10.1016/0370-2693(93)90334-E

Report number:

LSU-442-93

View in:

ADS Abstract Service

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Abstract:

'tHooft's abelian projection of

SU(N)

gauge theory yields

N

mutually constrained, compact abelian fields which are permutationally equivalent. We formulate the notion of ``species permutation'' symmetry of the

N

abelian projection fields and discuss its consequences for cross-species correlators. We show that at large

N

cross-species interactions are

{1\over N}

suppressed relative to same-species interactions. Numerical simulations at

N=3

support our symmetry arguments and reveal the existence of inter-species interactions of size {\cal O\/}\bigl({1\over N-1}\bigr) as analytically predicted.

Note:

13 pages, 1 postscript figure included

gauge field theory: SU(N)
lattice field theory
gauge field theory: U(1)
field equations: monopole
numerical calculations: Monte Carlo
correlation function: expansion 1/N

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