Delocalization of the axial charge in the chiral limit

Abstract

The nucleon's axial vector charge, g_A, becomes delocalized in the chiral limit. When m_π= 0, and SU(2)_L x SU(2)_R is exact, 1/3 of the nucleon's axial charge is to be found at infinite distance from the nucleon. For finite m_πthis result is approached smoothly as m_π-> 0. We illustrate this effect by considering the lepton-proton spin-spin interaction arising from Z^0 exchange as a function of m_π. Delocalization may have implications for lattice calculations of g_A and in nuclei.

Revised content: Further explanation of the limit m_pi -> 0 and an example of a physical process (spin-spin interaction in a hydrogenic atom mediated by Z^0 exchange) which can, in principle, measure the delocalization of g_A. Ten pages using RevTeX; email correspondence to R.L. Jaffe <[email protected]>

References in corpus (3)

• Towards a lattice calculation of $\Delta q$ and $\delta q$
• Domain wall fermion calculation of nucleon g_A/g_V
• Determining gA using non-perturbatively O(a) improved Wilson fermions

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