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arxiv: 1405.7810 · v3 · submitted 2014-05-30 · ✦ hep-th

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Relative energy dependence of the Bethe-Salpeter amplitude in two-dimensional massless QED

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classification ✦ hep-th
keywords energyrelativeamplitudebethe-salpeterafterwardsanalysisapproximatebosons
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The exact $q\bar{q}$ Bethe-Salpeter bound state amplitude is investigated in the space of relative energy $E$ for fixed value of relative position. By means of approximate analysis it is shown to possess singularities in $E$ whenever one of the quarks reaches the energy threshold for the creation of certain number of Schwinger bosons. These results are afterwards confirmed by numerical plots.

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