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Field Redefinitions and Wave Function Renormalization to $O(p^4)$ in Heavy Baryon Chiral Perturbation Theory
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abstract
Mass- and wave-function renormalization is calculated to order $p^4$ in heavy baryon chiral perturbation theory. Two different schemes used in the literature are considered. Several technical issues like field redefinitions, non-transformation of sources as well as subtleties related to the definition of the baryon propagator are discussed. The nucleon axial-vector coupling constant $g_A$ is calculated to order $p^4$ as an illustrative example.
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Calculation of the axial-vector coupling constant $g_A$ to two loops in covariant chiral perturbation theory
The complete order-M^4 two-loop corrections to g_A are derived in EOMS and infrared covariant baryon chiral perturbation theory and evaluated with scattering-derived low-energy constants.
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