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Dimensionally Reduced Chern-Simons Terms and Their Solitons

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Quantum Field Theory: Perspective and Prospective

Part of the book series: NATO Science Series ((ASIC,volume 530))

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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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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

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5673-8

  • Online ISBN: 978-94-011-4542-8

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