We employ non-perturbative renormalisation group methods to compute the full momentum dependence of propagators in quantum gravity general dimensions. disentangle all different graviton and Faddeev–Popov ghost modes find qualitative differences their propagators. This allows us reconstruct form factors that are quadratic curvature from first principles, which enter physical observables like sca...

We consider classical and quantum propagators for two different time intervals. If these propagators follow one another in a Fibonacci sequence we get a discrete quasiperiodic system. A theorem due to Nielsen provides a novel conserved quantity for this system. The Nielsen quantity controls the transition between commutative and non-commutative propagation in time. The quasiperiodically kicked ...

We continue to derive spacetime quantities and spin 1/2 propagators from rotations. Rotation-invariant projection operators are found for each element of a four element basis, i.e. a basis for four component quantities with specific transformation rules under rotations. With these four projection operators, we make two spacetime invariant projection operators, i.e. once space, time, energy, and...

We discuss and compare the efficiency of various methods, combinations of point-to-all propagators, stochastic timeslice-to-all propagators, the one-end trick and sequential propagators, to compute two-point correlation functions of two-quark and four-quark interpolating operators of different structure including quark-antiquark type, mesonic molecule type, diquark-antidiquark type and two-meso...

When implementing a propagator for a constraint, one must decide about variants: When implementing min, should one also implement max? Should one implement linear equations both with and without coefficients? Constraint variants are ubiquitous: implementing them requires considerable effort, but yields better performance. This abstract shows how to use views to derive propagator variants where ...

For a system of indistinguishable fermions with pairwise interactions, we consider renormalized, perturbative expansions for the threeand four-particle propagators ~Green’s functions! in terms of exact one-particle propagators, along with a pair interaction that may be bare ~as it appears in the Hamiltonian! or dressed ~polarized!. Care is taken to provide a rigorous foundation for the diagramm...

Recent works on cost based relaxations have improved Constraint Programming (CP) models for the Traveling Salesman Problem (TSP). We provide a short survey over solving asymmetric TSP with CP. Then, we suggest new implied propagators based on general graph properties. We experimentally show that such implied propagators bring robustness to pathological instances and highlight the fact that grap...

We investigate the infrared behaviour of gluon and ghost propagators in Landau gauge QCD by means of an exact renormalisation group equation. We explain how, in general, the infrared momentum structure of Green functions can be extracted within this approach. An optimisation procedure is devised to remove residual regulator dependences. In Landau gauge QCD this framework is used to determine th...

Constraint Propagation can be speeded up significantly by choosing a good execution order for propagators. A propagator is an implicit representation of a constraint which is widely used in todays powerful constraint solvers. In this paper we evaluate different ways to find good execution orders automatically during runtime. We extend previous work in this area by two new techniques: fair-sched...