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SUMMARY:Non-perturbative VEVs from a local expansion. A new approach to Co
 nfinement.
DTSTART;VALUE=DATE-TIME:19971017T140000Z
DTEND;VALUE=DATE-TIME:19971017T150000Z
DTSTAMP;VALUE=DATE-TIME:20260429T095205Z
UID:indico-event-1049@indico.ific.uv.es
DESCRIPTION:We show how to develop a non-perturbative method to compute eq
 ual-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 mas
 s 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 re
 move 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 wh
 en we use the local VWF (which we assume that it is known from another met
 hod\, f.e. lattice). When this method is applied to the VEV of a large (sp
 atial) Wilson loop\, this gives to first order an area law for them.\n\nht
 tps://indico.ific.uv.es/event/1049/
LOCATION:Dpto. de Fisica Teorica (UVEG) Sala Seminarios
URL:https://indico.ific.uv.es/event/1049/
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