A one-loop Schwinger-Keldysh Wilsonian RG calculation generates a dissipative cross-coupling between time branches and predicts two reduced-space fixed points in d=4, related to the Gaussian and Wilson-Fisher fixed points.
Renormalization in Minkowski space-time
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abstract
The multiplicative and the functional renormalization group methods are applied for the four dimensional scalar theory in Minkowski space-time. It is argued that the appropriate choice of the subtraction point is more important in Minkowski than in Euclidean space-time. The parameters of the cutoff theory, defined by a subtraction point in the quasi-particle domain, are complex due to the mass-shell contributions and the renormalization group flow becomes much more involved than its Euclidean counterpart.
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Wilsonian renormalisation group and thermal field theory in the Schwinger-Keldysh closed-time-path formalism
A one-loop Schwinger-Keldysh Wilsonian RG calculation generates a dissipative cross-coupling between time branches and predicts two reduced-space fixed points in d=4, related to the Gaussian and Wilson-Fisher fixed points.