Non-perturbative VEVs from a local expansion. A new approach to Confinement.

por Alfonso Jaramillo

viernes 17 oct. 1997 16:00 → 17:00 Europe/Madrid

Sala Seminarios (Dpto. de Fisica Teorica (UVEG))

We show how to develop a non-perturbative method to compute equal-time VEVs. This is based on assuming a local expansion for the vacuum wave functional (VWF), which can be shown to hold if the theory has a mass gap. But, to compute a VEV, we still need to perform a path integral (we are in the Scroedinger representation) which would be (at first sight) divergent. Analyticity properties of the VWF on the cutoff allows us to remove it from the VEVs (both, for the case of the scalar theory in 1+1 dim. and for the Yang-Mills theory in 2+1) getting finite results for them when we use the local VWF (which we assume that it is known from another method, f.e. lattice). When this method is applied to the VEV of a large (spatial) Wilson loop, this gives to first order an area law for them.