Divergent IR gluon propagator from Ward-Slavnov-Taylor identities? | Zendy

P. Boucaud | Zendy; Jean Pierre Leroy | Zendy; A. Le Yaouanc | Zendy; Jacques Micheli | Zendy; O. Pène | Zendy; A. Y. Lokhov | Zendy; C. Roiesnel | Zendy; J. Rodríguez–Quintero | Zendy

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Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?

Author(s) -

P. Boucaud,

Jean Pierre Leroy,

A. Le Yaouanc,

Jacques Micheli,

O. Pène,

A. Y. Lokhov,

C. Roiesnel,

J. Rodríguez–Quintero

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/03/076

Subject(s) - propagator , gluon , physics , mathematical physics , covariant transformation , vertex function , background field method , particle physics , vertex (graph theory) , quantum electrodynamics , quantum chromodynamics , renormalization , mathematics , graph , discrete mathematics

We exploit the Ward-Slavnov-Taylor identity relating the 3-gluons to theghost-gluon vertices to conclude either that the ghost dressing function isfinite and non vanishing at zero momentum while the gluon propagator diverges(although it may do so weakly enough not to be in contradiction with currentlattice data) or that the 3-gluons vertex is non-regular when one momentum goesto zero. We stress that those results should be kept in mind when one studiesthe Infrared properties of the ghost and gluon propagators, for example bymeans of Dyson-Schwinger equations.Comment: 6 pages, bibte

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