Space-Time and Scaling Techniques in the Kondo Problem

P. W. Anderson

Alexei M. Tsvelik, Paul B. Wiegmann

Alexei M. Tsvelik, Paul B. Wiegmann

Patrice Gelband

Peter Schmitteckert

In this work we combine the well established Kondo problem with the more speculative field of a discrete space time. We show that a discrete energy space induces a flow towards a new fixed point by breaking the conservation of charge and spin and lifting the fermion parity. This parity lifting fixed point appears on a scale set by the discretization of energy space. In contrast to the Planck scale the associated energy scale is at very low energy scales, possibly given by the inverse size of the universe.

Philip Warren Anderson, G. Yuval

The authors present some numerical results for the one dimensional Ising model with inverse-square long range interaction obtained by the use of the scaling technique developed in connection with the Kondo problem. Certain new remarks on the Kondo problem are also included.