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

Abstract

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.

24 pgs., added references, fixed typos

References in corpus (2)

• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Chiral extrapolation of g_A with explicit Delta(1232) degrees of freedom

Cited by in corpus (5)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• Chiral Corrections to Hyperon Axial Form Factors