Chinese Physics C > 1991, Vol. 15 > Issue(9): 797-803

Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ⁴Model

LOU Sen-Yue^,

Physics Department,Institute of Modern Physics,Ningbo Normal College,Ningbo 315211

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Abstract：
Under the Hartree mean-field approximaion and the high-temperature approximation,we established the mapping relation between some types of the special solutions of the φ ⁴model and the nontopological soliton bag model.From the mapping relation we see that nonspherical topological kink and antikink of φ ⁴model are paired to form bound state——the nonspherical nontopological soliton solution of the nontopological soliton bag model.The symmetry restoration phase transition of the φ ⁴model occurs when the topological kink and antikink disappear; And the deconfinement phase transition of the nontopological soliton bag model occurs when the bound state of the topological kind and antikink (nontopological soliton) vanishes.

References

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R. Friedberg and T. D. Lee, Phys. Rev.,D15(1977), 1694; 16(1977), 1096; 18(1978), 2623.[2] R. Goldflam and L. Wilets, Phys. Rev.,D25(1982), 1951; J. L. Dethier and L. Wilets, ibid., 34(1986), 207; H. B. Nielsen and A. Patkos, Nucl. Phys., B195(1982), 137; A. G. Williams and A. W. Thomas, Phys. Rev., C33(1986), 1070; L. Bayer, H. Forkel and W. Weise, Z. Phys., A324(1986), 324; L. R. Dodd, A. G, Williams and A. W. Thomas, Phys. Rev., D35(1987), 1040.[3] E. Wang, J.1i and L. Liu, Phys, Rev.,D41(1990), 2288.[4] R-k Su, P-z Bi and G-j Ni, J. Phys. A: Math. Gen., 16(1983), 2445; S-q Chen and G-j Ni, ibid, 16(1983), 3493; G-j Ni J-j Xu and W.Chen bid 18(1985), 149.[5] S-y Lou and G-j Ni, J. Math. Phys., 30(1989), 1619; S-y Lou, G-x Huang and G-J Ni, Phys. Lett.A146(1990), 45.[6] 楼森岳, 黄国翔, 倪光炯, 物理学报, 39(1990), 1363.

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LOU Sen-Yue. Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ ⁴Model[J]. Chinese Physics C, 1991, 15(9): 797-803.

LOU Sen-Yue. Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ ⁴Model[J]. Chinese Physics C, 1991, 15(9): 797-803. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ⁴Model

LOU Sen-Yue^,

Corresponding author:LOU Sen-Yue,

Physics Department,Institute of Modern Physics,Ningbo Normal College,Ningbo 315211

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1991-09-05

Abstract:Under the Hartree mean-field approximaion and the high-temperature approximation,we established the mapping relation between some types of the special solutions of the φ⁴model and the nontopological soliton bag model.From the mapping relation we see that nonspherical topological kink and antikink of φ⁴model are paired to form bound state——the nonspherical nontopological soliton solution of the nontopological soliton bag model.The symmetry restoration phase transition of the φ⁴model occurs when the topological kink and antikink disappear; And the deconfinement phase transition of the nontopological soliton bag model occurs when the bound state of the topological kind and antikink (nontopological soliton) vanishes.