0906.3497 (Chueng-Ryong Ji et al.)

Equivalence of pion loops in equal-time and light-front dynamics    [PDF]

Chueng-Ryong Ji, W. Melnitchouk, A. W. Thomas

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.

View original: http://arxiv.org/abs/0906.3497