Abstract
It is shown that the chiral nonanalytic terms generated byΔ 33 resonance in the nucleon self-energy is reproduced in chiral perturbation theory by perturbing appropriate local operators contained in the pion-nucleon effective Lagrangian itself.
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We have used equation of motion forb obtained by varying ℒ(1) to reduce the number of otherwise independentO i s in (6)
The interaction Lagrangian for πNΔ could of course be written in a chiral invariant form, which when expanded in the pion field, would give (11) as the leading term. But we do not do so to emphasise the fact that Δ is considered here as a massive state not included explicitly as a basic field in our effective field theory
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Mallik, S. Massive states in chiral perturbation theory. Z. Phys. C - Particles and Fields 68, 149–152 (1995). https://doi.org/10.1007/BF01579813
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DOI: https://doi.org/10.1007/BF01579813