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

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.


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Citation Formats
D. Karabali, S. Kürkcüoğlu, and V. P. Nair, “Magnetic field and curvature effects on pair production. II. Vectors and implications for chromodynamics,” PHYSICAL REVIEW D, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: