Objective
The challenging effect of confinement, i.e. the feature of the quantum field theory of strong interactions that fundamental fields do not correspond to observable particles, shall be treated by analytical methods. Such a project requires an understanding of the ground state of the theory, the so-called physical vacuum. A field-theoretical model, the so-called model of the stochastic vacuum, has proved to be a very promising tool in this respect. This project should lead to a deeper understanding of this model, its connection with other approaches, and to apply it further phenomenologically in hadron spectroscopy, high-energy scattering, and thermal field theory.
The structure of vacuum configurations responsible for confinement from three complementing directions will be studied: Dual Meissner mechanism of confinement via abelian projection method on the lattice and analytically, confinement in terms of field and current correlators via the method of stochastic vacuum, and the structure of the QCD string and interaction of QCD strings. The physical outcome of these directions is the detailed description of the effective magnetic monopole condensate, responsible for confinement. In the first direction the lattice operator for the condensate is to be formulated. In the second direction an equivalent but more general formulation (gauge-invariant and independent of the way monopoles are defined) of confinement mechanism in terms of field correlators is to be done. In the third direction the interaction between QCD strings will be elaborated.
Chiral symmetry breaking occurs via topological mechanism: zero quark modes on topological charges in the vacuum generate effective Lagrangian of the type of 'tHooft determinant. It was extensively studied for instantons, and now for dyons. The method of Dosch and Simonov will be developed and effective Lagrangian for 3 flavours from the QCD Lagrangian will be obtained.
Moreover the behaviour of field correlators as functions of temperature, where some electric correlators should disappear at critical temperatures will be investigated. The check of this picture can be done on the lattice. The picture of phase transition developed earlier, included in the lowest 1/Nc approximation of only quarks and gluons, and in the next approximation also of pions. Near Tc other hadronic degrees of freedom are important and their inclusion is planned.
High-energy scattering in the non-perturbative formalism of Dosch and collaborators can be successfully described by the lowest field correlators. It is planned to take into account both perturbative and non-perturbative contributions and in this way to extend the region of applicability from small momentum transfer t to larger values, desirably to t ~ s.
Fields of science (EuroSciVoc)
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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Funding Scheme
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Coordinator
DW 6900 Heidelberg
Germany
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.