1997
DOI: 10.1103/physrevd.55.6870
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Chiral multiplets of hadron currents

Abstract: Using group theoretical methods, we enumerate possible chiral representations in which hadron interpolating currents can be classified. We give simple examples of currents in each representation, some of which are well known. The classification enables one to find relations among current vacuum correlators in a chirally and/or axial U(1) symmetric phase of QCD in a straightforward way. Besides recovering many well-known relations among two-point correlation functions, a number of novel relations are found.

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Cited by 71 publications
(111 citation statements)
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“…Note that older results (refs. [19,20]) reached a similar conclusion on the non-observability of U A (1) non restoration in two point functions, but only for N f ≥ 3. The new analysis [17] requires a careful consideration of the order of the limits and suggests that early work was inaccurate.…”
Section: U a (1)supporting
confidence: 56%
“…Note that older results (refs. [19,20]) reached a similar conclusion on the non-observability of U A (1) non restoration in two point functions, but only for N f ≥ 3. The new analysis [17] requires a careful consideration of the order of the limits and suggests that early work was inaccurate.…”
Section: U a (1)supporting
confidence: 56%
“…In the hadron spectra, chiral symmetry is clearly broken for the groundstates, but we expect chiral symmetry restoration high in the spectrum of hadrons (χRS) [11][12][13][14][15][16], with chiral doublets more and more degenerate,…”
Section: A Chiral Symmetry Restoration High In the Spectrummentioning
confidence: 99%
“…gested for instance by the large degeneracy observed in the meson spectra [21], chiral symmetry restoration in the excited spectrum [11][12][13][14][15][16].…”
Section: Arxiv:151209191v1 [Hep-lat] 31 Dec 2015mentioning
confidence: 99%
“…This implies that there is some higher symmetry, that includes SU (2) L × SU (2) R × U (1) A as a subgroup. This higher symmetry requires a degeneracy of all eight mesons from the Table I. All these eight mesons can be combined to a reduciblē qq representation, which is a product of two fundamental chiral quark representations [12]:…”
Section: Observations Symmetries and Their String Interpretationmentioning
confidence: 99%