Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?
We exploit the Ward-Slavnov-Taylor identity relating the 3-gluons to the ghost-gluon vertices to conclude either that the ghost dressing function is finite and non vanishing at zero momentum while the gluon propagator diverges (although it may do so weakly enough not to be in contradiction with curr...
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Published in | The journal of high energy physics Vol. 2007; no. 3; p. 076 |
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Main Authors | , , , , , , , |
Format | Journal Article |
Language | English |
Published |
IOP Publishing
01.03.2007
Springer |
Subjects | |
Online Access | Get full text |
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Summary: | We exploit the Ward-Slavnov-Taylor identity relating the 3-gluons to the ghost-gluon vertices to conclude either that the ghost dressing function is finite and non vanishing at zero momentum while the gluon propagator diverges (although it may do so weakly enough not to be in contradiction with current lattice data) or that the 3-gluons vertex is non-regular when one momentum goes to zero. We stress that those results should be kept in mind when one studies the Infrared properties of the ghost and gluon propagators, for example by means of Dyson-Schwinger equations. |
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ISSN: | 1126-6708 1029-8479 1029-8479 |
DOI: | 10.1088/1126-6708/2007/03/076 |