Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-13
Phys.Lett.B670:73-77,2008
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, no figure. After proofs correction. To appear in Physics Letters B
Scientific paper
10.1016/j.physletb.2008.10.022
We derive the form of the infrared gluon propagator by proving a mapping in the infrared of the quantum Yang-Mills and $\lambda\phi^4$ theories. The equivalence is complete at a classical level. But while at a quantum level, the correspondence is spoiled by quantum fluctuations in the ultraviolet limit, we prove that it holds in the infrared where the coupling constant happens to be very large. The infrared propagator is then obtained from the quantum field theory of the scalar field producing a full spectrum. The results are in fully agreement with recent lattice computations. We get a finite propagator at zero momentum, the ghost propagator going to infinity as $1/p^{2+2\kappa}$ with $\kappa=0$.
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