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We explore new representations for lattice gauge theories with fermions,where the space-time lattice is divided into dynamically fluctuating regions,inside which different types of degrees of freedom are used in the pathintegral. The first kind of regions is a union of so-called bags, in which thedynamics is described by the free propagation of composite degrees of freedomof the original fermions. In the second region, called complementary domain,configurations of the remaining interacting degrees of freedom are used todescribe the dynamics. We work out the bag representation for the gauge groupsSU(2) and SU(3) and address the nature of the strong coupling effective degreesof freedom, which are fermions for SU(3) and bosons for SU(2). We discuss firststeps towards a numerical simulation of the bag representations.

Bag representation for composite degrees of freedom in lattice gauge theories with fermions