Abstract

Abstract Hamiltonian strong coupling expansions are evaluated for lattice quantum electrodynamics in (3 + 1) dimensions using the linked cluster algorithm. Pade analysis of the chiral condensate series (to order g−28) shows evidence for a possible continuous transition at 1 g 2 c = 0.75 ± 0.03 when the bare fermion mass is zero. The transition is signalled by a vanishing chiral condensate with critical index 0.22 ± 0.02. A discontinuous phase transition is by no means ruled out by the calculation, in which case the value quoted above is an upper bound on 1 g 2 c . Strong coupling expansions for the vacuum energy to order g−28 and scalar photonball mass gap to order g−16 are also given.

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