Scaling in periodic QED

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Abstract
We investigate periodic QED in 2+1 dimensions by using the t expansion. This serves two purposes. It allows us to test the method as well as the model. We calculate ratios between the two lowest masses and the string tension whose weak-coupling limit is known. Starting from the strong-coupling wave function we are able to extrapolate through the crossover region without being plagued by the roughening transition in the string tension. We find that the ratios keep varying throughout the weak-coupling domain; i.e., they do not exhibit precocious scaling.