The Logarithmic Triviality of Compact QED Coupled to a Four Fermi Interaction

Abstract

This is the completion of an exploratory study of Compact lattice Quantum Electrodynamics with a weak four-fermi interaction and four species of massless fermions. In this formulation of Quantum Electrodynamics massless fermions can be simulated directly and Finite Size Scaling analyses can be performed at the theory's chiral symmetry breaking critical point. High statistics simulations on lattices ranging from $8^4$ to $24^4$ yield the equation of state, critical indices, scaling functions and cumulants. The measurements are well fit with the orthodox hypothesis that the theory is logarithmically trivial and its continuum limit suffers from Landau's zero charge problem.

27 pages, 15 figues and 10 tables

References in corpus (3)

• Compact QED under scrutiny: it's first order
• Finite Size Scaling for O(N) phi^4-Theory at the Upper Critical Dimension
• The Phase Diagram of Compact QED Coupled to a Four-Fermi Interaction

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• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• Lattice Field Theory Study of Magnetic Catalysis in Graphene
• Chiral symmetry breaking and monopole dynamics in non-compact QED3 coupled to a four-fermi interaction
• Origin of Mass - Horizons Expanding from the Nambu's Theory
• Background field method in the large $N_f$ expansion of scalar QED