The Intersection of Brownian Paths as a Case Study of a Renormalization Group Method for Quantum Field Theory
Jul, 198434 pages
Published in:
- Commun.Math.Phys. 97 (1985) 91
DOI:
Report number:
- Print-84-0607 (RUTGERS)
Citations per year
Abstract: (Springer)
A new approach is presented for the study of the probability that the random paths generated by two independent Brownian motions in ℝd intersect or, more generally, are within a short distancea of each other. The well known behavior of that function ofa-above, below, and at the critical dimensiond=4, as well as further corrections, are derived here by means of a single renormalization group equation. The equation's derivation is expected to shed some light on the β-function of the λφd4 quantum field theory.Note:
- Revised version
- RENORMALIZATION GROUP: BETA FUNCTION
- FIELD THEORY: RANDOM WALK
- STATISTICS
- FUNCTIONAL ANALYSIS
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