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Spontaneous magnetization in high-density quark matter

Tsue, Yasuhiko; Providencia, João da; Providência, Constança; Yamamura, Masatoshi; Bohr, Henrik

19 pages, 3 figures; It is shown that the spontaneous magnetization occurs due to the anomalous magnetic moments of quarks in the high-density quark matter under the tensor-type four-point interaction. The spin polarized condensate for each flavor of quark appears at high baryon density, which leads to the spontaneous magnetization due to the anomalous magnetic moments of quarks. The implications to the strong ...


New boson realization of the Lipkin model obeying the su(2)-algebra

Tsue, Yasuhiko; Providência, Constança; Providencia, João da; Yamamura, Masatoshi

7 pages, no figure; New boson representation of the su(2)-algebra proposed by the present authors for describing the damped and amplified oscillator is examined in the Lipkin model as one of simple many-fermion models. This boson representation is expressed in terms of two kinds of bosons with a certain positive parameter. In order to describe the case of any fermion number, third boson is introduced. Through t...


Spin Polarization versus Color-Flavor-Locking in High Density Quark Matter

Tsue, Yasuhiko; Providencia, João da; Providência, Constança; Yamamura, Masatoshi; Bohr, Henrik

23 pages, 4 figures; It is shown that spin polarization with respect to each flavor in three-flavor quark matter occurs instead of the color-flavor locking at high baryon density by using the Nambu-Jona-Lasinio model with four-point tensor-type interaction. Also, it is indicated that the order of phase transition between the color-flavor locked phase and the spin polarized phase is the first order by means of t...


A Pseudo su(1,1)-Algebraic Deformation of the Cooper-Pair in the su(2)-Algebrai...

Tsue, Yasuhiko; Providência, Constança; Providencia, João da; Yamamura, Masatoshi

49 pages, 13 figures, using PTPTEX.cls; A pseudo su(1,1)-algebra is formulated as a possible deformation of the Cooper-pair in the su(2)-algebraic many-fermion system. With the aid of this algebra, it is possible to describe behavior of individual fermions which are generated as the result of interaction with the external environment. The form presented in this paper is a generalization of a certain simple case...


Interplay between Spin Polarization and Color Superconductivity in High Density...

Tsue, Yasuhiko; Providencia, João da; Providência, Constança; Yamamura, M.; Bohr, Henrik

21 pages, 3 figures; Here, it is suggested that a four-point interaction of the tensor type may lead to spin polarization in quark matter at high density. It is found that the two-flavor superconducting phase and the spin polarized phase correspond to distinct local minima of a certain generalized thermodynamical potential. It follows that the transition from one to the other phase occurs passing through true m...


Quark-Hadron Phase-Transition in an Extended NJL Model with Scalar-Vector Inter...

Lee, Tong-Gyu; Tsue, Yasuhiko; Providencia, João da; Providência, Constança; Yamamura, Masatoshi

15 pages, 12 figures; The quark-hadron phase transition at finite temperature and baryon chemical potential is investigated in an extended NJL model with scalar-vector eight-point interaction by comparing the pressure of symmetric nuclear matter with that of the quark matter. As a result, the extended NJL phase diagram is obtained in the temperature-baryon chemical potential plane and the effects of the scalar-...


Self-Consistent-Field Method and $τ$-Functional Method on Group Manifold in Sol...

Nishiyama, Seiya; Providencia, João da; Providência, Constança; Cordeiro, Flávio; Komatsu, Takao

The maximally-decoupled method has been considered as a theory to apply an basic idea of an integrability condition to certain multiple parametrized symmetries. The method is regarded as a mathematical tool to describe a symmetry of a collective submanifold in which a canonicity condition makes the collective variables to be an orthogonal coordinate-system. For this aim we adopt a concept of curvature unfamilia...


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