Fluctuating Strings in the Universal Confining String Theory and Gluodynamics

Abstract

The effective string theory emerging from the bilocal approximation to the Method of Vacuum Correlators in gluodynamics is shown to be well described by the 4D theory of the massive Abelian Kalb-Ramond field interacting with the string, which is known to be the low-energy limit of the Universal Confining String Theory. This correspondence follows from the agreement of the behaviour of the coefficient functions, which parametrize the gauge-invariant correlator of two gluonic field strength tensors, known from the lattice data, with their values obtained from the propagator of the Kalb-Ramond field. We discuss this correspondence in several aspects and demonstrate that the mass of the Kalb-Ramond field in this approach plays the role of the inverse correlation length of the vacuum, so that in the massless limit string picture disappears. Next, we apply the background field method, known in the theory of nonlinear sigma models, to obtain the action, which is quadratic in quantum fluctuations around a given (e.g. minimal) string world-sheet. Several nontrivial types of couplings of these fluctuations with the background world-sheet are obtained and discussed.

11 pages, LaTeX, no figures, references are added

References in corpus (5)

• Field strength correlators in full QCD
• Confining String with Topological Term
• Curvature Expansion for the Gluodynamics String including Perturbative Gluonic Contributions
• A Correction to the Hamiltonian of the QCD String with Quarks due to the Rigidity Term
• Dynamics of the Universal Confining String Theory on the Loop Space

Cited by in corpus (6)

• Field Strength Correlators and Dual Effective Dynamics in QCD
• String Nature of Confinement in (Non-)Abelian Gauge Theories
• String Representation for the 't Hooft Loop Average in the Abelian Higgs Model
• Monopole Condensation and Antisymmetric Tensor Fields: Compact QED and the Wilsonian RG Flow in Yang-Mills Theories
• The Abelian Higgs Model as an Ensemble of Vortex Loops
• Solvable Confining Gauge Theories at Large N