Nonperturbative confinement in quantum chromodynamics: II. Mandelstam’s gluon propagator

Atkinson, D., Johnson, P. W. & Stam, K., Mar-1982, In : Journal of Mathematical Physics. 23, 10, p. 1917-1924 8 p.

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It is shown that Mandelstam’s approximate equation for the gluon propagator has a solution with very singular infrared behavior. At the origin in the squared momentum variable there are a double pole, a branch‐point, and an accumulation of complex first‐sheet branch‐points. Although the double pole is suggestive of confinement, the existence of acausal complex singularities indicates a deficiency in this first step of the approximation scheme.
Original languageEnglish
Pages (from-to)1917-1924
Number of pages8
JournalJournal of Mathematical Physics
Issue number10
Publication statusPublished - Mar-1982

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