Abstract
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 distance a of each other. The well known behavior of that function of a-above, below, and at the critical dimension d=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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 91-110 |
| Number of pages | 20 |
| Journal | Communications In Mathematical Physics |
| Volume | 97 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Mar 1985 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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