Equivalence of Pion Loops in Equal-Time and Light-Front Dynamics
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 $$\Sigma$$ of a nucleon dressed by pion loops, for both pseudovector and pseudoscalar $$\pi NN$$ couplings. We derive the leading and next-to-leading nonanalytic behavior of $$\Sigma$$ 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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- OSTI ID:
- 978461
- Report Number(s):
- JLAB-THY-09-1011; DOE/OR/23177-0772
- Journal Information:
- Phys. Rev. D, Journal Name: Phys. Rev. D Journal Issue: 05 Vol. 80; ISSN PRVDAQ; ISSN 1550-7998
- Country of Publication:
- United States
- Language:
- English
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