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1971•Physical Review LettersRequires access

Breaking Nambu-Goldstone Chiral Symmetries

Ling-Fong Li, Heinz R. Pagels

Open publisher page 77 citations

Abstract

We establish that the nonanalytic behavior of some matrix elements in perturbation theory about a chiral symmetry implies that they can be calculated exactly to leading order in chiral breaking. For other matrix elements, analytic to leading order, we establish the hypothesis of threshold dominance in the chiral limit. As an application of this idea we calculate, to leading order in chiral breaking, the seven baryon-octet mass differences in terms of one parameter.

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What this paper is about

We establish that the nonanalytic behavior of some matrix elements in perturbation theory about a chiral symmetry implies that they can be calculated exactly to leading order in chiral breaking. For other matrix elements, analytic to leading order, we establish the hypothesis of threshold dominance in the chiral limit. As an application of this idea we calculate, to leading order in chiral breaking, the seven baryon-octet mass differences in terms of one parameter.

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OpenAlex reports 77 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We establish that the nonanalytic behavior of some matrix elements in perturbation theory about a chiral symmetry implies that they can be calculated exactly to leading order in chiral breaking. For other matrix elements, analytic to leading order, we establish the hypothesis of threshold dominance in the chiral limit. As an application of this idea we calculate, to leading order in chiral breaking, the seven baryon-octet mass differences in terms of one parameter.

Key concepts: Chiral symmetry breaking, Chiral perturbation theory, Physics, Chiral anomaly, Goldstone, Homogeneous space, Goldstone boson, Symmetry breaking

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