A conclusive test of abelian dominance hypothesis for topological charge in the QCD vacuum

S. Sasaki; O. Miyamura

doi:10.1016/S0920-5632(99)85132-9

A conclusive test of abelian dominance hypothesis for topological charge in the QCD vacuum

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Abstract

We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge Q_SU(2) can be explicitly represented in terms of the monopole current in the abelian dominated system. To appreciate its justification, we directly measure the corresponding topological charge Q_Mono, which is reconstructed only from the monopole current and the abelian component of gauge fields, by using the Monte Carlo simulation on SU(2) lattice. We find that there exists a one-to-one correspondence between Q_SU(2) and Q_Mono in the maximally abelian gauge. Furthermore, Q_Mono is classified by approximately discrete values.

Original language	English
Pages (from-to)	545-547
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	73
Issue number	1-3
DOIs	https://doi.org/10.1016/S0920-5632(99)85132-9
Publication status	Published - 1999 Mar
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/S0920-5632(99)85132-9

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title = "A conclusive test of abelian dominance hypothesis for topological charge in the QCD vacuum",

abstract = "We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge QSU(2) can be explicitly represented in terms of the monopole current in the abelian dominated system. To appreciate its justification, we directly measure the corresponding topological charge QMono, which is reconstructed only from the monopole current and the abelian component of gauge fields, by using the Monte Carlo simulation on SU(2) lattice. We find that there exists a one-to-one correspondence between QSU(2) and QMono in the maximally abelian gauge. Furthermore, QMono is classified by approximately discrete values.",

author = "S. Sasaki and O. Miyamura",

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AU - Miyamura, O.

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N2 - We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge QSU(2) can be explicitly represented in terms of the monopole current in the abelian dominated system. To appreciate its justification, we directly measure the corresponding topological charge QMono, which is reconstructed only from the monopole current and the abelian component of gauge fields, by using the Monte Carlo simulation on SU(2) lattice. We find that there exists a one-to-one correspondence between QSU(2) and QMono in the maximally abelian gauge. Furthermore, QMono is classified by approximately discrete values.

AB - We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge QSU(2) can be explicitly represented in terms of the monopole current in the abelian dominated system. To appreciate its justification, we directly measure the corresponding topological charge QMono, which is reconstructed only from the monopole current and the abelian component of gauge fields, by using the Monte Carlo simulation on SU(2) lattice. We find that there exists a one-to-one correspondence between QSU(2) and QMono in the maximally abelian gauge. Furthermore, QMono is classified by approximately discrete values.

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A conclusive test of abelian dominance hypothesis for topological charge in the QCD vacuum

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