On the non-Abelian Stokes theorem in SU(2) gluodynamics

We discuss the non-Abelian Stokes theorem for SU(2) gauge fields which avoids both additional integration variables and surface ordering. The idea is to introduce the instant color orientation of the flux piercing the loop. The non-Abelian Stokes theorem is also considered on the lattice and various terms contributing to the trace of the Wilson loop are discussed.Comment: 3 pages, 2 figures, Lattice2003(topology

Universal enveloping commutative Rota-Baxter algebras of precommutative and postcommutative algebras

Universal enveloping commutative Rota-Baxter algebras of pre- and postcommutative algebras are constructed. We prove that the pair of varieties (commutative Rota-Baxter algebras of nonzero weight,postcommutative algebras) is a PBW-pair and the pair (commutative Rota-Baxter algebras of zero weight,precommutative algebras) is not.Comment: 17 p. arXiv admin note: text overlap with arXiv:1708.0016