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Based on the Schwinger-Dyson (SD) equation, the fermion mass generation is studied further in the D(2 ≻ D ≻ 4)-dimensional Thirring model as a gauge theory previously proposed. Using a certain approximation on the kernel, we analytically obtaine explicit form of the dynamical mass of the fermion and the critical line in (N, 1/g) space, where N is the number of fermions and g is the ...

The Superkamiokande experiment suggests large flavor mixing between νµ and ντ. We show that both the second and third generation neutrino masses are larger than O(0.1 eV)when the mixing angle receives significant corrections from the renormalization group equation (RGE). This implies that this mixing angle must be small at the right-handed neutrinos' decoupling scale when the ...

There are physical Majorana phases in the lepton flavor mixing matrix when neutrinos are Majorana fermions. In the case of two degenerate neutrinos, the physical Majorana phase plays a crucial role in the stability of the maximal flavor mixing between the second and the third generations with respect to quantum corrections. The physical Majorana phase of π guarantees that the ...

We reformulate the Thirring model in D(2 ≤D ≪ 4) dimensions as a gauge theory by introducing U(1) hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By virtue of such a gauge symmetry we can greatly simplify the analysis of the SD equation by taking the most appropriate gauge (“nonlocal gauge”) for the HLS. ...