Effective Field Theory with a Variable Ultraviolet Cutoff

Details Effective Field Theory with a Variable Ultraviolet Cutoff Effective Field Theory with a Variable Ultraviolet Cutoff

2008-05-13

arxiv.org/abs/0805.1840v2

J.Math.Phys.50:013522,2009

Physics

High Energy Physics

High Energy Physics - Theory

minor corrections, additional references

Scientific paper

10.1063/1.3054272

The properties of strongly gravitating systems suggest that field theory overcounts the states of a system. Reducing the number of degrees of freedom, without abandoning the notion of effective field theory, may be achieved through a connection between the ultraviolet and infrared cutoffs. We provide an implementation of this idea within the Wilsonian approach to the renormalization group. We derive an exact flow equation that describes the evolution of the effective action. We discuss the implications for the existence of infrared fixed points and the running of couplings. We also give an alternative derivation in the context of the perturbative renormalization group.

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