Physics:Heavy baryon chiral perturbation theory

From HandWiki

Heavy baryon chiral perturbation theory (HBChPT) is an effective quantum field theory used to describe the interactions of pions and nucleons/baryons. It is somewhat an extension of chiral perturbation theory (ChPT) which just describes the low-energy interactions of pions. In a richer theory one would also like to describe the interactions of baryons with pions. A fully relativistic Lagrangian of nucleons is non-predictive as the quantum corrections, or loop diagrams can count as [math]\displaystyle{ \mathcal{O}(1) }[/math] quantities and therefore do not describe higher-order corrections. Because the baryons are much heavier than the pions, HBChPT rests on the use of a nonrelativistic description of baryons compared to that of the pions. Therefore, higher order terms in the HBChPT Lagrangian come in at higher orders of [math]\displaystyle{ m_B^{-n} }[/math] where [math]\displaystyle{ m_B }[/math] is the baryon mass.