Equivalence of pion loops in equal-time and light-front dynamics
arXiv:0906.3497 · doi:10.1103/PhysRevD.80.054018
Abstract
We demonstrate the equivalence of the light-front and equal-time formulations of pionic corrections to nucleon properties. As a specific example, we consider the self-energy of a nucleon dressed by pion loops, for both pseudovector and pseudoscalar pion-nucleon couplings. We derive the leading and next-to-leading nonanalytic behavior of the self-energy on the light-front, and show explicitly their equivalence in the rest frame and infinite momentum frame in equal-time quantization, as well as in a manifestly covariant formulation.
25 pages, 2 figures; typos corrected in Eqs. (A5), (A6), (A8)
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- Light-Front Quantum Chromodynamics: A framework for the analysis of hadron physics
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- Chiral dynamics and peripheral transverse densities
- Anatomy of relativistic pion loop corrections to the electromagnetic nucleon coupling
- Quantifying the nucleon's pion cloud with transverse charge densities
- Broken Chiral Symmetry on a Null Plane
- Chiral Light Front Perturbation Theory and the Flavor Dependence of the Light-Quark Nucleon Sea
- Light-front representation of chiral dynamics with Delta isobar and large-N_c relations
- Comment on "Taming the pion cloud of the nucleon"
- Quantum-mechanical picture of peripheral chiral dynamics
- Pions in Proton Structure and Everywhere Else
- Octet and decuplet baryon self-energies in relativistic SU(3) chiral effective theory
- Ideas of Four-Fermion Operators in Electromagnetic Form Factor Calculations