Abstract
Compact lattice QED in four dimensions is examined using Monte Carlo renormalization group methods. The trajectory of the renormalization group in the two-parameter coupling space (β,γ) is followed by measuring the renormalized coupling directly. On the strong coupling side of the phase transition the renormalization trajectories flow towards the trivial fixed point, and in the Coulomb phase it is consistent with the behaviour expected in a phase with power law correlations. The critical exponents are measured using the MCRG, and a single relevant eigenvalue is found. The behaviour of the exponent at successive renormalization group blocking steps is given a possible interpretation in terms of crossover behaviour a tricritical point, with exponent ν ⩾ 0.5, to be fixed point of the critical surface, with exponent ν ⩽ 0.35.
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