Estimate of the lattice QED phase transition from hamiltonian strong coupling expansions

C. J. Burden

doi:10.1016/0370-2693(87)90912-9

Estimate of the lattice QED phase transition from hamiltonian strong coupling expansions

C. J. Burden^*

^*Corresponding author for this work

Mathematical Sciences Institute

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Hamiltonian strong coupling expansions are evaluated for lattice quantum electrodynamics in (3 + 1) dimensions using the linked cluster algorithm. Padé analysis of the chiral condensate series (to order g^-28) shows evidence for a possible continuous transition at 1 g²_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 g²_c. Strong coupling expansions for the vacuum energy to order g^-28 and scalar photonball mass gap to order g^-16 are also given.

Original language	English
Pages (from-to)	525-530
Number of pages	6
Journal	Physics Letters B
Volume	198
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(87)90912-9
Publication status	Published - 3 Dec 1987

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abstract = "Hamiltonian strong coupling expansions are evaluated for lattice quantum electrodynamics in (3 + 1) dimensions using the linked cluster algorithm. Pad{\'e} analysis of the chiral condensate series (to order g-28) shows evidence for a possible continuous transition at 1 g2c = 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 g2c. 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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AU - Burden, C. J.

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N2 - Hamiltonian strong coupling expansions are evaluated for lattice quantum electrodynamics in (3 + 1) dimensions using the linked cluster algorithm. Padé analysis of the chiral condensate series (to order g-28) shows evidence for a possible continuous transition at 1 g2c = 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 g2c. Strong coupling expansions for the vacuum energy to order g-28 and scalar photonball mass gap to order g-16 are also given.

AB - Hamiltonian strong coupling expansions are evaluated for lattice quantum electrodynamics in (3 + 1) dimensions using the linked cluster algorithm. Padé analysis of the chiral condensate series (to order g-28) shows evidence for a possible continuous transition at 1 g2c = 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 g2c. 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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Estimate of the lattice QED phase transition from hamiltonian strong coupling expansions

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