Equivalence of pion loops in equal-time and light-front dynamics
Date
2009
Authors
Ji, C.
Melnitchouk, W.
Thomas, A.
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Journal article
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Physical Review D: Particles, Fields, Gravitation and Cosmology, 2009; 80(5):054018-1-054018-11
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Chueng-Ryong Ji, W. Melnitchouk, A. W. Thomas
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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 Σ of a nucleon dressed by pion loops, for both pseudovector and pseudoscalar πNN couplings. We derive the leading and next-to-leading nonanalytic behavior of Σ 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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© 2009 The American Physical Society