Topological charge of Center Vortices
نویسنده
چکیده
Center vortices provide an appealing picture of confinement [1]. When center vortices are removed from the Yang-Mills ensemble, the string tension [2] and the quark condensate [3] are lost. Therefore one should expect that center vortices can also explain spontaneous breaking of chiral symmetry. The mechanism of spontaneous breaking of chiral symmetry seems to be tied to the topological properties of the gauge fields. My talk is devoted to the topological charge of center vortices and is mainly based on [4]. In a mathematically idealized way center vortices can be defined in a gauge invariant way in D-dimensional space-time as (D−2)-dimensional closed hypersurfaces (boundaries) ∂Σ of electromagnetic flux which contribute a (non-trivial) center element Z to the Wilson loop when they are non-trivially linked to the latter:
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