摘要：The virial theorem for nonrelativistic complex fields in spatial
dimensions and with arbitrary many-body potential is derived, using
path-integral methods and scaling arguments recently developed to
analyze quantum anomalies in low-dimensional systems. The potential
appearance of a Jacobian due to a change of variables in the
path-integral expression for the partition function of the system is
pointed out, although in order to make contact with the literature most
of the analysis deals with the case. The virial theorem is recast
into a form that displays the effect of microscopic scales on the
thermodynamics of the system. From the point of view of this paper the
case usually considered, , is not natural, and the generalization to
the case is briefly presented.
