2015
DOI: 10.1016/j.physrep.2015.03.002
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Quark confinement: Dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang–Mills theory

Abstract: The purpose of this paper is to review the recent progress in understanding quark confinement. The emphasis of this review is placed on how to obtain a manifestly gauge-independent picture for quark confinement supporting the dual superconductivity in the Yang-Mills theory, which should be compared with the Abelian projection proposed by 't Hooft. The basic tools are novel reformulations of the YangMills theory based on change of variables extending the decomposition of the SU(N) Yang-Mills field due to Cho, D… Show more

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Cited by 114 publications
(123 citation statements)
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References 286 publications
(726 reference statements)
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“…The relationships among the weight vectors ν1, ν2, ν3 in the fundamental representations 3 and the root vectors α (1) , α (2) , α (3) in SU (3). We find ν1 ⊥ α (3) , − α (3) .…”
Section: Derivationmentioning
confidence: 99%
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“…The relationships among the weight vectors ν1, ν2, ν3 in the fundamental representations 3 and the root vectors α (1) , α (2) , α (3) in SU (3). We find ν1 ⊥ α (3) , − α (3) .…”
Section: Derivationmentioning
confidence: 99%
“…Notice that f (2) µν is written in terms of n 8 alone (see Appendix B for the derivation of f (2) µν ). It is shown [2] that the two kinds of the gauge-invariant charges q (1) m and q (2) m obey the different quantization conditions:…”
Section: Magnetic Monopolesmentioning
confidence: 99%
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