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Magnetic field and curvature effects on pair production. II. Vectors and implications for chromodynamics

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2019-09-17
Karabali, D.
Kürkcüoğlu, Seçkin
Nair, V. P.
We calculate the pair production rates for spin-1 or vector particles on spaces of the form M x R-1,R-1, with M corresponding to R-2 (flat), S-2 (positive curvature), and H-2 (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 S-2 and H-2 is obtained. We also give a brief discussion of how our results relate to ideas about confinement in non-Abelian theories.