Collapse of Flux Tubes

The dynamics of an idealized, infinite, MIT-type flux tube is followed in time as the interior evolves from a pure gluon field to a \(\overline q \ q\) plasma. We work in color U(1). \(\overline q\ q\) pair formation is evaluated according to the Schwinger mechanism using the results of Brink and Pa...

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Bibliographic Details
Published inarXiv.org
Main Authors Wilets, L, Puff, R D
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.08.1994
Subjects
Boltzmann transport equation
Collapse
Disintegration
Electric fields
Flux
Mathematical analysis
Mesons
Pions
Tubes
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Summary:The dynamics of an idealized, infinite, MIT-type flux tube is followed in time as the interior evolves from a pure gluon field to a \(\overline q \ q\) plasma. We work in color U(1). \(\overline q\ q\) pair formation is evaluated according to the Schwinger mechanism using the results of Brink and Pavel. The motion of the quarks toward the tube endcaps is calculated by a Boltzmann equation including collisions. The tube undergoes damped radial oscillations until the electric field settles down to zero. The electric field stabilizes the tube against pinch instabilities; when the field vanishes, the tube disintegrates into mesons. There is only one free parameter in the problem, namely the initial flux tube radius, to which the results are very sensitive. Among various quantities calculated is the mean energy of the emitted pions.
ISSN:2331-8422
DOI:10.48550/arxiv.9408019