103 citations · 1.4k across the 72 of their papers we have counts for
9 papers · 1 filter
Stability of 3D Cubic Fixed Point in Two-Coupling-Constant ϕ^4-Theory
H. Kleinert, S. Thoms, V. Schulte-Frohlinde
For an anisotropic euclidean -theory with two interactions $[u (\sum_{i=1^M ϕ_i^2)^2+v \sum_{i=1}^M ϕ_i^4]$ the -functions are calculated from five-loop perturbation expans…
Relations Between Markov Processes Via Local Time and Coordinate Transformations
A. Pelster, H. Kleinert
The Duru-Kleinert (DK) method of solving unknown path integrals of quantum mechanical systems by relating them to known ones does not apply to Markov processes since the DK-transfo…
Nonabelian Bosonization as a Nonholonomic Transformations from Flat to Curved Field Space
H. Kleinert
There exists a simple rule by which path integrals for the motion of a point particle in a flat space can be transformed correctly into those in curved space. This rule arose from…
Classical and Fluctuating Paths in Spaces with Curvature and Torsion
H. Kleinert
This conference talk elaborates on a recently discovered mapping procedure by which classical orbits and path integrals for the motion of a point particle in flat space can be tran…
Resummation of anisotropic quartic oscillator. Crossover from anisotropic to isotropic large-order behavior
H. Kleinert, S. Thoms
We present an approximative calculation of the ground-state energy for the anisotropic anharmonic oscillator Using an instanton solution of the isotropic action , we obtain t…
Autoparallels From a New Action Principle
H. Kleinert, A. Pelster
We present a simpler and more powerful version of the recently-discovered action principle for the motion of a spinless point particle in spacetimes with curvature and torsion. The…