Wednesday, October 31, 2012

1210.7717 (Abdelmalek Abdesselam et al.)

Rigorous quantum field theory functional integrals over the p-adics:
research announcement
   [PDF]

Abdelmalek Abdesselam, Ajay Chandra, Gianluca Guadagni
In this short note we announce the construction of scale invariant non-Gaussian generalized stochastic processes over three dimensional p-adic space. The construction includes that of the associated squared field and our result shows this squared field has a dynamically generated anomalous dimension which rigorously confirms a prediction made more than forty years ago, in an essentially identical situation, by Kenneth G. Wilson. We also prove a mild form of universality for the model under consideration.
View original: http://arxiv.org/abs/1210.7717

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