Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-01-08
Physics
High Energy Physics
High Energy Physics - Phenomenology
85 pages, Ph.D. Thesis
Scientific paper
Applications imposing SU(3) chiral symmetry on non-relativistic field theory are considered. The first example is a calculation of the self-energy shifts of the spin-3/2 decuplet baryons in nuclear matter, from the chiral effective Lagrangian coupling octet and decuplet baryon fields. Special attention is paid to the self-energy of the delta baryon near the saturation density of nuclear matter. We find contributions to the mass shifts from contact terms in the effective Lagrangian with coefficients of unknown value. As a second application, we formulate an effecive field theory with manifest SU(2) chiral symmetry for the interactions of K and eta mesons with pions at low energy. SU(3) chiral symmetry is imposed on the effective field theory by a matching calculation onto three-flavor chiral perturbation theory. The effective Lagrangian for the pi-K and pi-eta sectors is worked out to order Q^4; the effective Lagrangian for the K-K sector is worked out to order Q^2 with contact interactions to order Q^4. As an application of the method, we calculate the KK s-wave scattering phase shift at leading order and compare with chiral perturbation theory. We conclude with a discussion of the limitations of the approach and propose new directions for work where the matching calculation may be useful.
No associations
LandOfFree
SU(3) Chiral Symmetry in Non-Relativistic Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with SU(3) Chiral Symmetry in Non-Relativistic Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SU(3) Chiral Symmetry in Non-Relativistic Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-473169