Quantum corrections to the skyrmion mass
Abstract
Oneloop corrections to the classical soliton mass are evaluated for the nonlinearsigma model, and the Skyrme model, without and with a sixthorder extension. The chiralcovariant 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 phasespace integrals. This allows for analytical expressions for zeromode 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 zeromode contributions and support the previous result of Moussallam that for the ChPTaction augmented by a standard sixthorder extension, the baryon mass is near the actual nucleon mass.
 Publication:

Nuclear Physics A
 Pub Date:
 February 1995
 DOI:
 10.1016/03759474(95)00012P
 Bibcode:
 1995NuPhA.587..721H