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Renormalization group and triviality in noncompact lattice QED with light fermions

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arxiv hep-lat/9205030 v1 pith:4PGRO2TV submitted 1992-06-01 hep-lat

Renormalization group and triviality in noncompact lattice QED with light fermions

classification hep-lat
keywords couplingfermionsgrouplatticelightnoncompactphaserenormalization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

In the framework of noncompact lattice QED with light fermions, we derive the functional dependence of the average energy per plaquette on the bare parameters using block-spin Renormalization Group arguments and assuming that the renormalized coupling vanishes. Our numerical results for this quantity in $8^4$ and $10^4$ lattices show evidence for triviality in the weak coupling phase and point to a non vanishing value for the renormalized coupling constant in the strong coupling phase.

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