By P. M. Cohn
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Additional resources for Algebra. Volume 1. Second Edition
E. it is causal; the same is true for X as a function of Y. The differential equation for Y Y=-w g Y+X is the (well defined, cutoff-free) path space equivalent of the field equation. Explicit expressions can also be given which relate the processes X for different perturbations g . Before turning to the renormalization group we should like to touch briefly on an application of probabilistic concepts to general field theory. In the quest for models of the Wightman or Osterwalder-Schrader axioms it is tempting to try and generalize the construction of new characteristic functions from given ones.
Different physical questions even about the same dynamical system will give rise to different mappings T, and possibly to different fixed points C (a). To illustrate this we choose as our further example .. 2) "The Infinite Momentum Limit" Loosely speaking, velocity transformations tilt the canonical xo = 0 plane until in the limit it becomes tangent to the light-cone: a "null plane". A closer look though reveals that under such a limit transformation the time zero field ~ (x) would not just move up to the null plane but also off to infinity: 39 nullplane Fig .
G. ref. ) functional integrals of the form T -gJV(x(t»dt o
Algebra. Volume 1. Second Edition by P. M. Cohn