QUANTUM CORRECTIONS TO THE SKYRMION MASS

摘要

One-loop corrections to the classical soliton mass are evaluated for the nonlinear-sigma model, and the Skyrme model, without and with a sixth-order extension. The chiral-covariant renormalization scheme follows closely the procedure used in chiral perturbation theory to make sure that the resulting effective action is compatible with the results obtained in ChPT up to chiral order four. The magnitude of the chiral gradients involved in the soliton profile requires that counterterms and finite loop corrections are evaluated to all chiral orders. In semiclassical approximation, traces are replaced by phase-space integrals. This allows for analytical expressions for zero-mode and continuum contributions to the Casimir energy and for the counterterms. The numerical results confirm-the conjecture that the loop corrections are dominated by the zero-mode contributions and support the previous result of Moussallam that for the ChPT-action augmented by a standard sixth-order extension, the baryon mass is near the actual nucleon mass. [References: 19]