Curvature expansion for the background-induced gluodynamics string
  Using cumulant expansion for an averaged Wilson loop we derive an action of the gluodynamics string in the form of a series in powers of the correlation length of the vacuum. In the lowest orders it contains the Nambu-Goto term and the rigidity term with the coupling constants computed from the bilocal correlator of gluonic fields. Some higher derivative corrections are calculated. 
D.V.Antonov (ITEP, Moscow), D.Ebert (Humboldt University, Berlin),   Yu.A.Simonov (ITEP, Moscow)