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2024年10月30日

Massive self-duality solution associated with invariant one-forms

  • A massive self-duality solution associated with invariant 1-forms is presented. At the zero mass limit the massive self-dual theory of the SO(3) gauge group on 4 dimensions cannot be reduced to that of massless self-duality. In such a case the self-dual connection turns to the flat connection and one cannot obtain a massless theory in such an approach.
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    [11] M. F. Atiyah, Geometry of Yang-Mills Fields (Accademia Nazionale Dei Lincei Scuola Normale Superiore, 1979)
    [12] J. Figueroa-O'Farrill, J. Geom. Phys., 32 (2):227-240 (1999)
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    [14] K. Huang, Quarks, Leptons and Gauge Fields (World Scientific, 1992)
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Get Citation
Ibrahim Sener. Massive self-duality solution associated with invariant one-forms[J]. Chinese Physics C, 2018, 42(1): 013107. doi: 10.1088/1674-1137/42/1/013107
Ibrahim Sener. Massive self-duality solution associated with invariant one-forms[J]. Chinese Physics C, 2018, 42(1): 013107.  doi: 10.1088/1674-1137/42/1/013107 shu
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Received: 2017-08-31
Revised: 2017-11-07
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Massive self-duality solution associated with invariant one-forms

Abstract: A massive self-duality solution associated with invariant 1-forms is presented. At the zero mass limit the massive self-dual theory of the SO(3) gauge group on 4 dimensions cannot be reduced to that of massless self-duality. In such a case the self-dual connection turns to the flat connection and one cannot obtain a massless theory in such an approach.

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