The structure of the ground state beyond the instability point of the quasiparticle system with Fermi-step momentum distribution is studied within the model of a Fermi liquid with a strong repulsive interaction. A ground state rearrangement occurs as the interaction strength is increased beyond a definite critical value. Numerical investigation of the initial stage of this structural transition...

We study two kinds of Dirac sea effects on the S0 pairing gap in nuclear matter based on the relativistic Hartree approximation to quantum hadrodynamics and the Gor’kov formalism. We show that the vacuum fluctuation effect on the nucleon effective mass is more important than the direct coupling between the Fermi sea and the Dirac sea due to the pairing interaction. The effects of the high-momen...

By using the explicit knowledge of the lowest energy single particle wave functions in the presence of an arbitrary magnetic field, we extend to the case of a torus Jain’s idea of looking at the FQHE as a manifestation of an integer effect for composite fermions. We show that this can be realized thanks to a redefinition of the vacuum state that is explicitly collective in nature. We also discu...

The wavefunction of two fermions, repulsively interacting in the presence of a Fermi sea, is evaluated in detail. We consider large but finite systems in order to obtain an unambiguous picture of the two-particle correlations. As recently pointed out by Anderson, in d ≤ 2 dimensions the particles may be correlated even when situated on the Fermi surface. The ”partial exclusion principle” for tw...

The angular momentum of the physical electron, modelled as a Dirac fermion coupled to the electromagnetic field, is found to be /2, the same as that of a bare Dirac fermion and independent of the size of the electric charge. The coupled Maxwell-Dirac equations

In 2006 Guo, Labate, Lim, Weiss, and Wilson introduced the theory of MRA composite dilation wavelets. We continue their work by studying the filter properties of such wavelets and present several important examples.

Any μ2-divergence is shown analytically to be absent for a class of actions for Overlap and Domain Wall Fermions with nonzero chemical potential. All such actions are, however, shown to violate the chiral invariance. While the parameter M of these actions can be shown to be irrelevant in the continuum limit, as expected, it is shown numerically that the continuum limit can be reached with relat...

We have already presented at a Lattice conference [1] an algebraic algorithm that allows to apply the coordinate-space method by Lüscher and Weisz [2] to two-loop lattice integrals with gluon and Wilson-fermion propagators. In order to test the method, we have recently redone [3] a twoloop computation of the critical mass for Wilson fermions [4]. For Wilson fermions, the dressed inverse fermion...

7 [1] The quasistationary summer Bering Sea circulation is 8 reconstructed as a variational inverse of the hydrographic 9 and atmospheric climatologies, transport estimates through 10 the Bering Strait, and surface drifter data. Our results 11 indicate the splitting of the Kamchatka Current in the 12 vicinity of the Shirshov Ridge. This branching is in 13 agreement with independent ARGO drifter...

Using spectral function of photon we find the reliable results for the effects of vacuum polarization for the dressed fermion propagator in three-dimensional QED.The lowest order spectral function has logarithmically divergent Coulomb energy as well as self-energy which is absent in four-dimension.