Cheshire Cat Scenario in a 3+1 dimensional Hybrid Chiral Bag

The total energy in the two-phase chiral bag model is studied, including the contribution due to the bag (Casimir energy plus energy of the valence quarks), as well as the one coming from the Skyrmion in the external sector. A consistent determination of the parameters of the model and the renormalization constants in the energy is performed. The total energy shows an approximate independence with the bag radius (separation limit between the phases), in agreement with the Cheshire Cat Principle.Comment: 16 pages, 3 uuencoded postscript figures, typing error correcte

P-Determinants and Boundary Values

We show that a regularized determinant based on Hilbert's approach (wich we call the "p-determinant") of a quotient of elliptic operators defined on a manifold with boundary is equal to the "pdeterminant " of a quotient of pseudodifferential operators. The last ones are entirely expressible in terms of boundary values of solutions of the original differential operators. We argue that, in the context of Quantum Field Theory, this boundary values also determine the subtractions (i.e., the counterterms) to which this regularization scheme gives rise. Pacs: 11.10 Ef, 12.40 Aa. This work was partially supported by CONICET(Argentina). 1 - Introduction In a recent paper[1], R. Forman has established a relation between the quotient of i-function regularized determinants of elliptic operators defined on a manifold with boundary and the boundary values of their solutions. In fact, under certain conditions[1], such quotient is equal to the determinant of a quotient of pseudodifferential ope..

Quantum beats of magnetization generated by a standing acoustic wave in molecular magnets

We have shown that macroscopic quantum beats of the magnetization can be produced by the standing acoustic wave in molecular magnets. Under the impulsive drive we have demonstrated complete control over the beat structure by adjusting the time interval between the initial state and the application of the sound wave. The optimal condition for the pronounced beat is discussed