Abstract
We consider models in which nonrelativistic matter fields interact with gauge fields whose dynamics are governed by the Chern-Simons term. The relevant equations of motion are derived and reduced dimensionally in time or in space. Interesting solitonic equations emerge and their solutions are described. Finally, we consider a Chern-Simons term in three-dimensional Euclidean space, reduced by spherical symmetry, and we discuss its effect on monopole and instanton solutions.
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References
R. Jackiw and S. Templeton, Phys. Rev. D 23, 2291 (1981); J. Schonfeld, Nucl. Phys. B185, 157 (1981).
S. Deser, R. Jackiw and S. Templeton, Phys. Rev. Lett. 48, 975 (1982), Ann. Phys. (NY) 140, 372 (1982), (E) 185, 406 (1988).
R. Jackiw and S.-Y. Pi, Prog. Theor. Phys. Suppl. 107, 1 (1992).
G. Dunne, Self-Dual Chern-Simons Theories (Springer, Berlin, 1995).
L. D. Faddeev and R. Jackiw, Phys. Rev. Lett. 60, 1692 (1988).
V. Makhankov, Soliton Phenomenology (Kluwer, Boston MA, 1990); C. Nohl, Ann. Phys. (NY) 96, 234 (1976); P. Kulish, S. Manakov and L. Faddeev, Teor. Mat. Fiz. 28, 38 (1976) [English translation: Theor. Math. Phys. 28, 615 (1976)]; L. Dolan, Phys. Rev. D 13, 528 (1976).
P. Oh and C. Rim, Phys. Lett. B404, 89 (1997); see also I. Andric, V. Bardek and L. Jonke, hep-th/9507110.
R. Floreanini and R. Jackiw, Phys. Rev. Lett. 59, 1873 (1987).
S. J. Benetton-Rabello, Phys. Lett. B363, 180 (1995), Phys. Rev. Lett. 76, 4007 (1996), (E) 77, 4851 (1996), Stanford preprint SU-ITP #9611 (cond-mat/9604040). But please be alert to the fact that errors mar these papers, and the consequences drawn by the author are incorrect, as is discussed in the above Erratum and in Ref. [10], below.
U. Aglietti, L. Griguolo, R. Jackiw, S.-Y. Pi, and D. Seminara, Phys. Rev. Lett. 77, 4406 (1996); R. Jackiw, Jnl. Nonlinear Math. Phys. 4, 26 (1997); L. Griguolo and D. Seminara, Nucl. Phys. B516, 467 (1998).
H. Min and Q-H. Park, Phys. Lett. B388, 621 (1996).
R. Jackiw and S.-Y. Pi, Phys. Lett. B423, 364 (1998).
G. Dunne, K. Lee and C. Lu, Phys. Rev. Lett. 78, 3434 (1997).
A. Niemi and G. Semenoff, Phys. Rev. Lett. 51, 2077 (1983).
S. Deser, L. Griguolo and D. Seminara, Phys. Rev. Lett. 79, 1976 (1997); C. Fosco, G. Rossini and F. Schaposnik, Phys. Rev. Lett. 79, 1980 (1997).
A. Redlich, Phys. Rev. Lett. 52, 18 (1984); Phys. Rev. D 29, 2366 (1984); see also Ref. [2].
G. Dunne, R. Jackiw and C. Trugenberger, Phys. Rev. D 41, 611 (1990).
S. Carroll, G. Field and R. Jackiw, Phys. Rev. D 41, 1231 (1990).
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Jackiw, R., Pi, SY. (1999). Dimensionally Reduced Chern-Simons Terms and Their Solitons. In: DeWitt-Morette, C., Zuber, JB. (eds) Quantum Field Theory: Perspective and Prospective. NATO Science Series, vol 530. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4542-8_11
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DOI: https://doi.org/10.1007/978-94-011-4542-8_11
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