Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Systematically accelerated convergence of path integrals.

A Bogojević1, A Balaz, A Belić

  • 1Institute of Physics, P.O. Box 57, 11001 Belgrade, Serbia and Montenegro.

Physical Review Letters
|May 21, 2005
PubMed
Summary

A novel analytical method enhances path integral convergence for discretized theories. This technique accelerates reaching continuum limits, verified through Monte Carlo simulations on various models.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Structural characterization of submerged granular packings.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Optimization of the monolayer growth in adsorption-desorption processes.

Physical review. E, Statistical, nonlinear, and soft matter physics·2013
Same author

Adsorption, desorption, and diffusion of k-mers on a one-dimensional lattice.

Physical review. E, Statistical, nonlinear, and soft matter physics·2009
Same author

Simulation study of granular compaction dynamics under vertical tapping.

Physical review. E, Statistical, nonlinear, and soft matter physics·2007
Same author

Kinetic model of drug distribution in the urinary bladder wall following intravesical instillation.

International journal of pharmaceutics·2006
Same author

Predicting the anti-hypertensive effect of nitrendipine from plasma concentration profiles using artificial neural networks.

Computers in biology and medicine·2005

Area of Science:

  • Theoretical physics
  • Computational methods

Background:

  • Path integrals are fundamental in quantum field theory and statistical mechanics.
  • Discretized theories often suffer from slow convergence to the continuum limit.

Purpose of the Study:

  • To introduce a new analytical method for improving path integral convergence.
  • To calculate effective actions that accelerate the approach to the continuum limit.

Main Methods:

  • Development of a systematic analytical improvement technique for N-fold discretized theories.
  • Calculation of effective actions S(p) up to p=9.
  • Verification via Monte Carlo simulations on diverse models.

Main Results:

  • The proposed method systematically improves convergence of path integrals.
  • Effective actions S(p) yield identical continuum amplitudes to the original action.
  • Convergence rate is enhanced to 1/N(p).

Conclusions:

  • The new analytical method offers a significant speedup in achieving continuum limits for discretized theories.
  • The findings are robust, as confirmed by simulations across multiple models.
  • This approach provides a more efficient way to study continuum physics from discretized formulations.

Related Experiment Videos