For four-dimensional phi^4 theory, running parameters defined in Minkowski space-time are complex and the renormalization group flow depends strongly on the subtraction point, with new crossover scales.
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Renormalization in Minkowski space-time
For four-dimensional phi^4 theory, running parameters defined in Minkowski space-time are complex and the renormalization group flow depends strongly on the subtraction point, with new crossover scales.