TY - JOUR
T1 - Ellipsoidal bound on the Gribov horizon contradicts the perturbative renormalization group
AU - Dell'Antonio, Gianfausto
AU - Zwanziger, Daniel
N1 - Funding Information:
* CNR, GNFM ** Research supported in part by the National Science Foundation under grant no
PY - 1989/11/6
Y1 - 1989/11/6
N2 - We show that the Gribov horizon is contained within a certain ellipsoid whose principal axes lie along Fourier coefficients of the connection A(x). This implies the bound on the Fourier transform g(k) of the gluon propagator (more generally, the two-point function of the connection) in D euclidean space-time dimensions, ∫dDk g(k)/k2 < constant. For D = 4, this bound is not compatible with the asymptotic behavior at large momentum predicted by the perturbative renormalization group.
AB - We show that the Gribov horizon is contained within a certain ellipsoid whose principal axes lie along Fourier coefficients of the connection A(x). This implies the bound on the Fourier transform g(k) of the gluon propagator (more generally, the two-point function of the connection) in D euclidean space-time dimensions, ∫dDk g(k)/k2 < constant. For D = 4, this bound is not compatible with the asymptotic behavior at large momentum predicted by the perturbative renormalization group.
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U2 - 10.1016/0550-3213(89)90135-1
DO - 10.1016/0550-3213(89)90135-1
M3 - Article
AN - SCOPUS:34249038042
SN - 0550-3213
VL - 326
SP - 333
EP - 350
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2
ER -