Calculation of the axial charge in the epsilon and epsilon' regimes of HBChPT

Details Calculation of the axial charge in the epsilon and epsilon' regimes of HBChPT Calculation of the axial charge in the epsilon and epsilon' regimes of HBChPT

2007-06-26

arxiv.org/abs/0706.3731v2

Phys.Rev.D76:074503,2007

Physics

High Energy Physics

High Energy Physics - Lattice

24 pgs., added references, fixed typos

Scientific paper

10.1103/PhysRevD.76.074503

The axial charge g_A is calculated in the epsilon regime of Heavy Baryon Chiral Perturbation Theory to order epsilon^3. To perform this calculation, we develop a technique to compute baryon properties in the epsilon regime of Chiral Perturbation Theory. This technique includes contributions from pion zero momentum modes and can be used at arbitrary order, diagram by diagram, in the $\epsilon$ regime to calculate any matrix element. Also, a calculation of g_A in the epsilon' regime to order epsilon'^3 is performed. A discussion of the domain of applicability for both the epsilon and epsilon' regimes is also included.

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