Dynamical Adjustment of Propagators in Renormalization Group Flows

Details Dynamical Adjustment of Propagators in Renormalization Group Flows Dynamical Adjustment of Propagators in Renormalization Group Flows

2006-07-11

arxiv.org/abs/cond-mat/0607289v1

Annalen Phys. 16 (2007) 171-206

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 54 pages, 3 postscript figures

Scientific paper

10.1002/andp.200610223

A class of continuous renormalization group flows with a dynamical adjustment of the propagator is introduced and studied theoretically for fermionic and bosonic quantum field theories. The adjustment allows to include self--energy effects nontrivially in the denominator of the propagator and to adapt the scale decomposition to a moving singularity, and hence to define flows of Fermi surfaces in a natural way. These flows require no counterterms, but the counterterms used in earlier treatments can be constructed using them. The influence of propagator adjustment on the strong--coupling behaviour of flows is examined for a simple example, and some conclusions about the strong coupling behaviour of renormalization group flows are drawn.

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