Gauge invariant 'monopoles' and color confinement mechanism

Tsuneo Suzuki; Katsuya Ishiguro; Yoshifumi Nakamura; Toru Sekido

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arXiv · hep-lat/0511026

Gauge invariant 'monopoles' and color confinement mechanism

Tsuneo Suzuki·Katsuya Ishiguro·Yoshifumi Nakamura·Toru Sekido

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Abstract

The dual Meissner effect is described and numerically observed in a gauge-invariant way in lattice Monte-Carlo simulations of pure SU(2) QCD. A gauge-invariant monopole-like quantity on the lattice is defined by a gauge-invariant Abelian-like field strength. The Abelian-like field strength is expressed in terms of a unit-vector in color space which is constructed by a non-Abelian field strength itself. It is just equal to the absolute value of the corresponding non-Abelian field strength except for the sign. In this note we show the theoretical background and most numerical results will be published in a separate report \cite{Suzuki:2005lat052} in this conference.

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Tsuneo Suzuki, Katsuya Ishiguro, Yoshifumi Nakamura, Toru Sekido. 2005-11-15. Gauge invariant 'monopoles' and color confinement mechanism. https://arxiv.org/abs/hep-lat/0511026

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