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Karabali, D.; Kürkçüoǧlu, S.; Nair, V. P.
Physical review. D, 09/2019, Letnik: 100, Številka: 6Journal Article
We calculate the pair production rates for spin-1 or vector particles on spaces of the form M×R1,1, with M corresponding to R2 (flat), S2 (positive curvature), and H2 (negative curvature), with and without a background (chromo)magnetic field on M. Beyond highlighting the effects of curvature and background magnetic field, this is particularly interesting since vector particles are known to suffer from the Nielsen-Olesen instability, which can dramatically increase pair production rates. The form of this instability for S2 and H2 is obtained. We also give a brief discussion of how our results relate to ideas about confinement in non-Abelian theories.
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