Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form

Details Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form

1999-01-22

arxiv.org/abs/hep-ph/9901384v1

Eur.Phys.J. C9 (1999) 643-671

Physics

High Energy Physics

High Energy Physics - Phenomenology

66 pages, 12 postscript figures

Scientific paper

We show that in the presence of massive particles such as nucleons, the standard low energy expansion in powers of meson momenta and light quark masses in general only converges in part of the low energy region. The expansion of the scalar form factor $\sigma(t)$, for instance, breaks down in the vicinity of $t=4M_\pi^2$. In the language of heavy baryon chiral perturbation theory, the proper behaviour in the threshold region only results if the multiple internal line insertions generated by relativistic kinematics are summed up to all orders. We propose a method that yields a coherent representation throughout the low energy region while keeping Lorentz and chiral invariance explicit at all stages. The method is illustrated with a calculation of the nucleon mass and of the scalar form factor to order $p^4$.

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