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2024年10月30日

Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ4 Model

  • 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 φ4 model and the nontopological soliton bag model.From the mapping relation we see that nonspherical topological kink and antikink of φ4 model are paired to form bound state——the nonspherical nontopological soliton solution of the nontopological soliton bag model.The symmetry restoration phase transition of the φ4 model 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.
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  • [1] 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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Get Citation
LOU Sen-Yue. Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ4 Model[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 φ4 Model[J]. Chinese Physics C, 1991, 15(9): 797-803. shu
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Revised: 1900-01-01
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Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ4 Model

    Corresponding author: LOU Sen-Yue,
  • Physics Department,Institute of Modern Physics,Ningbo Normal College,Ningbo 315211

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 φ4 model and the nontopological soliton bag model.From the mapping relation we see that nonspherical topological kink and antikink of φ4 model are paired to form bound state——the nonspherical nontopological soliton solution of the nontopological soliton bag model.The symmetry restoration phase transition of the φ4 model 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.

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