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It is well known that the topology of gauge configurations generated in aMarkov Monte-Carlo chain freezes as the continuum limit is approached. Thecorresponding autocorrelation time increases exponentially with the inverselattice spacing, affecting the ergodicity of the simulation. In SU(N) gaugetheories for large N this problem sets in at much coarser lattice spacings thanfor N=3. This means that its systematics can be studied on lattices that aresmaller in terms of the number of lattice sites. It has been shown that usingopen boundary conditions in time allows instantons to be created and destroyed,restoring topological mobility and ergodicity. However, with open boundaryconditions translational invariance is lost and the influence of spuriousstates propagating from the boundary into the bulk on physical correlatorsneeds to be carefully evaluated. Moreover, while the total topological chargecan be changed, the mobility of instantons across the lattice is still reduced.We consider SU(7) Yang-Mills theory and analyse its topological content in theperiodic and open boundary condition cases. We also investigate scalar andpseudo-scalar glueball correlation functions.

Topology and glueballs in SU(7) Yang-Mills with open boundary conditions