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

Details Equivalence of pion loops in equal-time and light-front dynamics Equivalence of pion loops in equal-time and light-front dynamics

2009-06-18

arxiv.org/abs/0906.3497v2

Phys.Rev.D80:054018,2009

Physics

Nuclear Physics

Nuclear Theory

25 pages, 2 figures; references added; to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.80.054018

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.

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