62 citations · 361 across the 27 of their papers we have counts for
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Systematic Speedup of Path Integrals of a Generic -fold Discretized Theory
Aleksandar Bogojevic, Antun Balaz, Aleksandar Belic
We present and discuss a detailed derivation of a new analytical method that systematically improves the convergence of path integrals of a generic -fold discretized theory. We…
Asymptotic Properties of Path Integral Ideals
Aleksandar Bogojevic, Antun Balaz, Aleksandar Belic
We introduce and analyze a new quantity, the path integral ideal, governing the flow of generic discrete theories to the continuum limit and greatly increasing their convergence. T…
Generalization of Euler's Summation Formula to Path Integrals
Aleksandar Bogojevic, Antun Balaz, Aleksandar Belic
A recently developed analytical method for systematic improvement of the convergence of path integrals is used to derive a generalization of Euler's summation formula for path inte…
Jaggedness of Path Integral Trajectories
Aleksandar Bogojevic, Antun Balaz, Aleksandar Belic
We define and investigate the properties of the jaggedness of path integral trajectories. The new quantity is shown to be scale invariant and to satisfy a self-averaging property.…
Systematically Accelerated Convergence of Path Integrals
Aleksandar Bogojevic, Antun Balaz, Aleksandar Belic
We present a new analytical method that systematically improves the convergence of path integrals of a generic -fold discretized theory. Using it we calculate the effective acti…