Aspects of many baryon Skyrme solitons, and cosmic texture

Details Aspects of many baryon Skyrme solitons, and cosmic texture Aspects of many baryon Skyrme solitons, and cosmic texture

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phdt........93b&link_type=abstract

Thesis (PhD). PRINCETON UNIVERSITY, Source DAI-B 59/05, p. 2263, Nov 1998, 131 pages.

Mathematics

Logic

Scientific paper

In the Skyrme model, baryons are topological solitons of a scalar SU(2) field. In this dissertation, I investigate the properties of multibaryon Skyrme solitons, the classical minimum energy fields for nuclei in the Skyrme model. I present the vibrational modes of the B=2 torus, the B=3 tetrahedron, and the B=4 cube, and find the frequency, degeneracy and symmetry of each normal mode. In each case, there is a family of low frequency modes which deform the soliton without changing its volume, and then an energy gap, and then a set of 'breathing' multipole modes in which the solitonic matter expands and contracts. The Skyrme multisolitons must be quantized to determine their physical properties, and learn if they describe real nuclei. The problem of quantizing nonspherical solitons is long-standing and unsolved, and I present a technique for performing part of this calculation. I apply this technique to a one dimensional toy theory, where thoretical difficulties have been resolved. It generates the one-loop quantum correction to the soliton mass to within 1% of the accepted value. Finally, I shift to topological defects at the other edge of physics, and examine a cosmic textures theory for large scale structure formation in the early universe. These textures come from a broken global SU(3) symmetry rather than the usual SU(2), and this theory serves to check how much the textures predictions for the early universe depend on which symmetry is broken. I predict the Cosmic Microwave Background (CMB) spectrum and anisotropy in a universe seeded by SU(3) texture. I find that the SU(2) and SU(3) textures CMB spectra are close, but distinguishable from one another.

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