Pion Loops in Chiral Perturbation Theory and Light-Front Dynamics
From the approximate chiral symmetry of QCD, it is known that the pion loops in chiral perturbation theory play a vital role in understanding the nucleon's long range structure. We demonstrate the equivalence of the light-front, equal-time and covariant formulations for the interactions of nucleons with pions in chiral perturbation theory. In particular, we discuss the self-energy Sigma of a nucleon dressed by pion loops with the pseudovector piNN coupling. It is shown that the leading nonanalytic behavior of Sigma is equivalent whichever formulations are used for the derivative. We also discuss the relation between the mass shift and the wavefunction renormalization as well as the difference between the pseudovector and pseudoscalar theories.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1994783
- Report Number(s):
- JLAB-THY-11-1578; DOE/OR/23177-6937
- Journal Information:
- Few-Body Systems, Vol. 52, Issue 3-4; Conference: Lightcone 2011, May 23-27, 2011, Dallas, Texas; ISSN 0177-7963
- Country of Publication:
- United States
- Language:
- English
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Equivalence of pion loops in equal-time and light-front dynamics
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