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A transparent expression of the A^2-Condensate's renormalisation

Ph. Boucaud·F. De Soto·A. Le Yaouanc·J. P. Leroy·J. Micheli·H. Moutarde·O. Pène·J. Rodríguez-Quintero
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Abstract

We give a more transparent understanding of the vacuum expectation value of the renormalised local operator A^2 by relating it to the gluon propagator integrated over the momentum. The quadratically divergent perturbative contribution is subtracted and the remainder, dominantly due to the O(1/p^2) correction to the perturbative propagator at large p^2 is logarithmically divergent. This provides a transparent derivation of the fact that this O(1/p^2) term is related to the vacuum expectation value of the local A^2 operator and confirms a previous claim based on the operator product expansion (OPE) of the gluon propagator. At leading logarithms the agreement is quantitative, with a standard running factor, between the local A^2 condensate renormalised as described above and the one renormalised in the OPE context.

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Ph. Boucaud, F. De Soto, A. Le Yaouanc, J. P. Leroy, J. Micheli, H. Moutarde, O. Pène, J. Rodríguez-Quintero. 2002-10-11. A transparent expression of the A^2-Condensate's renormalisation. https://doi.org/10.1103/physrevd.67.074027

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