Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?
Feb, 2007
6 pages
Published in:
- JHEP 03 (2007) 076
e-Print:
- hep-ph/0702092 [hep-ph]
Report number:
- UHU-FP-07-09,
- CPHT-RR-007-0207,
- LPT-ORSAY-07-03
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Abstract:
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.- gluon: propagator
- infrared problem
- Ward identity
- Slavnov identity
- vertex function: (3gluon)
- ghost: propagator
- Dyson-Schwinger equation
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