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The Ghost-propagator DSE - Physics

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<strong>The</strong> <strong>Ghost</strong>-<strong>propagator</strong> <strong>DSE</strong><br />

solutions (V)<br />

Next-to-leading asymptotic approximation:<br />

Zero-momentum Taylor-scheme efective charge<br />

A. Aguilar, D. Binosi, J. Papavassiliou, J.R-Q; PRD80(2009)085018<br />

QED-like PT efective charge:<br />

�d �q� = g 2 � ��q 2 � = g 2 ��q 2 �<br />

[1�G �q 2 �] 2 ≃ �g 2 �q 2 �<br />

q 2 �M 2<br />

Taylor efective charge:<br />

2 2 2 2 2<br />

�r�q� = gT ��q � F �q � = gT ���q 2 2<br />

2<br />

� [1�G �q �]<br />

�≃1<br />

IR efective charge!!<br />

F 2 �q 2 � ≃ �g<br />

2 2<br />

T �q �<br />

q 2 �M 2

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