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

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.

24 pages, 9 figures

References in corpus (3)

• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• Resolving the instability of the Savvidy vacuum by dynamical gluon mass
• Magnetic Field and Curvature Effects on Pair Production I: Scalars and Spinors

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• Schwinger effect in compact space: a real time calculation
• Construction of non-Abelian electric strings
• Matter-gravity coupling for fuzzy geometry and the Landau-Hall problem
• Vacuum Pair Creation in Spin Noncommutative of Coordinates: Volkov Background and Constant Electric Field