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Magnetic Field and Curvature Effects on Pair Production II: Vectors and Implications for Chromodynamics

Abstract

We calculate the pair production rates for spin-11 or vector particles on spaces of the form M×R1,1M \times {\mathbb R}^{1,1} with MM corresponding to R2{\mathbb R}^2 (flat), S2S^2 (positive curvature) and H2H^2 (negative curvature), with and without a background (chromo)magnetic field on MM. 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 S2S^2 and H2H^2 is obtained. We also give a brief discussion of how our results relate to ideas about confinement in nonabelian theories.Comment: 24 pages, 9 figure

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