Random Walks with Long-Range Self-Repulsion on Proper Time
S. Caracciolo, G. Parisi, A. Pelissetto
Abstract
We introduce a model of self-repelling random walks where the short-range interaction between two elements of the chain decreases as a power of the difference in proper time. Analytic results on the exponent ν are obtained. They are in good agreement with Monte Carlo simulations in two dimensions. A numerical study of the scaling functions and of the efficiency of the algorithm is also presented.
Create a lesson
Related papers
Simulating a chiral gauge theory
Laurens Lootens, Hersh Singh
Quantum Computing for Entanglement Asymmetry and the Quantum Mpemba Effect in Field Theory
Keisuke Fujii, Harunobu Fujimura, Masazumi Honda et al.
Finite-volume Analysis of On-shell Subtraction in the Luescher formalism
Wanchen Lei, Yuting Wang, Jin-Yi Pang
A Note On Lattice Definition of Gauge Theories With Chiral Fermions
Edward Witten
Can multi-level Monte-Carlo address the sign problem in a finite-density Bose gas?
Rajatha Ranpatige, Finn M. Stokes
Confining strings in the reconfined phase of trace deformed three dimensional SU(2) Yang-Mills theory
Claudio Bonati, Michele Caselle, Alessio Negro et al.