We propose a method to represent the path integral over gauge fields as tensor network. introduce trial action with variational parameters and generate field configurations weight defined by action. construct initial tensors indices labelling these configurations. perform renormalization group optimize parameters. As first step TRG study of non-Abelian theory in more than two dimensions, we app...

We analyze the gauge symmetry of a topological mass generating action in four dimensions which contains both a vector and a second rank antisymmetric tensor fields. In the Abelian case, this system induces an effective mass for the vector gauge field via a topological coupling B ∧ F in the presence of a kinetic term for the antisymmetric tensor field B, while maintaining a gauge symmetry. On th...

Information on su(N) tensor product multiplicities is neatly encoded in Berenstein-Zelevinsky triangles. Here we study a generalisation of these triangles by allowing negative as well as positive integer entries. For a fixed triple product of weights, these generalised Berenstein-Zelevinsky triangles span a lattice in which one may move by adding integer linear combinations of so-called virtual...