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.

arXiv comment24 pgs., added references, fixed typos

References in corpus (17)

• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• The nucleon axial charge in full lattice QCD
• Moments of Nucleon Light Cone Quark Distributions Calculated in Full Lattice QCD
• Nucleon Masses and Magnetic Moments in a Finite Volume
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Quark mass dependence of the nucleon axial-vector coupling constant
• Baryon Axial Charge in a Finite Volume
• Multidimensional cut-off technique, odd-dimensional Epstein zeta functions and Casimir energy of massless scalar fields
• The nucleon axial-vector coupling beyond one loop
• Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Chiral extrapolation of g_A with explicit Delta(1232) degrees of freedom
• Recoil Order Chiral Corrections to Baryon Octet Axial Currents
• Nucleon Properties at Finite Volume: the Epsilon Prime Regime
• Towards a lattice calculation of $\Delta q$ and $\delta q$
• A nucleon in a tiny box
• Axial and tensor charge of the nucleon with dynamical fermions
• Nucleon structure with domain wall fermions

Cited by in corpus (11)

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• Nucleon axial charge in 2+1 flavor dynamical lattice QCD with domain wall fermions
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• Chiral Corrections to Hyperon Axial Form Factors
• Heavy-light mesons in the epsilon-regime
• Finite isospin density probe for conformality
• Heavy Meson Masses in the ε-Regime of HMχPT