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arXiv · 1905.12391

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

D. Karabali·S. Kurkcuoglu·V. P. Nair
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Abstract

We calculate the pair production rates for spin-$1$ or vector particles on spaces of the form $M \times {\mathbb R}^{1,1}$ with $M$ corresponding to ${\mathbb R}^2$ (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 nonabelian theories.

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D. Karabali, S. Kurkcuoglu, V. P. Nair. 2019-05-29. Magnetic Field and Curvature Effects on Pair Production II: Vectors and Implications for Chromodynamics. https://doi.org/10.1103/physrevd.100.065006

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