Thesis Collection
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Browsing by Author "Leroy, J. P."
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Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?
Boucaud, Ph.; Leroy, J. P.; Le Yaouanc, Alain; Rodríguez Quintero, José
(Springer Verlag, 2007-03)
We exploit the Ward-Slavnov-Taylor identity relating in genaral covariant gauges the 3-gluons to the ghost-gluon vertices to conclude either that the ghost dressing function is finite and non vanishing at zero momentum ... -
Instantons and the A (2) condensate
Boucaud, Ph.; Leroy, J. P.; Le Yaouanc, Alain; Micheli, J.; Pène, O.; Soto Borrero, Feliciano Carlos de; Donini, A.; Moutarde, Hervé; Rodríguez Quintero, José (American Physical Society, 2002)
We argue that the ⟨A2OPE⟩ condensate found in the Landau gauge on lattices, when an operator product expansion of Green’s functions is performed, might be explained by instantons. We use cooling to estimate the instanton ... -
IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
Boucaud, Ph.; Leroy, J. P.; Le Yaouanc, Alain; Micheli, J.; Pène, O.; Rodríguez Quintero, José (Springer Verlag, 2008-06)
We solve numerically the Schwinger-Dyson ghost equation in the Landau gauge for a given, finite at k = 0 gluon propagator (i.e. the infrared exponent of its dressing function, αgluon, is 1) and under the usual assumption ... -
On the IR behaviour of the Landau-gauge ghost propagator
Boucaud, Ph.; Leroy, J. P.; Le Yaouanc, Alain; Micheli, J.; Pène, O.; Rodríguez Quintero, José (Springer Verlag, 2008-06)
We examine analytically the ghost propagator Dyson-Schwinger Equation (DSE) in the deep IR regime and prove that a finite ghost dressing function at vanish- ing momentum is an alternative solution (solution II) to the ... -
On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem
Boucaud, Ph.; Dudal, D.; Leroy, J. P.; Pène, O.; Rodríguez Quintero, José (Springer Verlag, 2011)
This brief note is devoted to a study of genuine non-perturbative corrections to the Landau gauge ghost-gluon vertex in terms of the non-vanishing dimension-two gluon condensate. We prove these corrections to give account ... -
Quark propagator and vertex: systematic corrections of hypercubic artifacts from lattice simulations
Boucaud, Ph.; De Soto, F.; Leroy, J. P.; Rodríguez Quintero, José (Elsevier, 2003-11)
This is the first part of a study of the quark propagator and the vertex function of the vector current on the lattice in the Landau gauge and using both Wilson-clover and overlap actions. In order to be able to identify ... -
The strong coupling constant at small momentum as an instanton detector
Boucaud, Ph.; Le Yaouanc, Alain; Leroy, J. P.; Micheli, J.; Pène, O.; Soto Borrero, Feliciano Carlos de; Moutarde, Hervé; Rodríguez Quintero, José (Springer Verlag, 2003)
We present a study of αMOM(p) at small p computed from the lattice in the quenched approximation (nf = 0). It shows a dramatic proptop4 law which can be understood within an instanton liquid model. In this framework the ... -
Transparent expression of the A2 condensate’s renormalization
Boucaud, Ph.; Soto Borrero, Feliciano Carlos de; Le Yaouanc, Alain; Leroy, J. P.; Micheli, J.; Moutarde, Hervé; Pène, O.; Rodríguez Quintero, José (American Physical Society, 2003)
We give a more transparent understanding of the vacuum expectation value of the renormalized local operator A2 by relating it to the gluon propagator integrated over the momentum. The quadratically divergent perturbative ...
