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

Karabali, D.; Kürkçüoǧlu, S.; Nair, V. P.


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        "affiliation": "Department of Physics and Astronomy Lehman College of the CUNY, Bronx, New York, 10468, USA", 
        "name": "Karabali, D."
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        "affiliation": "Middle East Technical University, Department of Physics, Dumlupinar Boulevard, 06800, Ankara, Turkey", 
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        "affiliation": "Physics Department City College of the CUNY, New York, New York 10031, USA", 
        "name": "Nair, V.\u2009P."
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    "description": "<p>We calculate the pair production rates for spin-1 or vector particles on spaces of the form $M\u00d7{R}^{1,1}$, 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.</p>", 
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