Confining strings in the Abelian-projected SU(3)-gluodynamics - II. 4D case with theta-term

摘要

The generalization of 4D confining string theory to the SU(3)-inspired case is derived. It describes string representation of the Wilson loop in the SU(3) analogue of compact QED extended by the theta -term. It is shown that although the obtained theory of conning strings differs from that of compact QED, their low-energy limits have the same functional form. This fact leads to the appearance of the string theta -term in the low-energy limit of the SU(3)-inspired confining string theory. In particular, it is shown that in the extreme strong-coupling regime, the crumpling of string world sheets could disappear owing to the string theta -term at theta = pi /12. Finally, some characteristic features of the SU(N) case are pointed out. [References: 20]