16 citations · 41 across the 5 of their papers we have counts for
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Wilsonian Renormalization of Noncommutative Scalar Field Theory
Razvan Gurau, Oliver J. Rosten
Drawing on analogies with the commutative case, the Wilsonian picture of renormalization is developed for noncommutative scalar field theory. The dimensionful noncommutativity para…
Triviality from the Exact Renormalization Group
Oliver J. Rosten
Using the exact renormalization group, it is shown that no physically acceptable non-trivial fixed points, with positive anomalous dimension, exist for (i) O(N) scalar field theory…
Constraints on an Asymptotic Safety Scenario for the Wess-Zumino Model
Oliver J. Rosten
Using the nonrenormalization theorem and Pohlmeyer's theorem, it is proven that there cannot be an asymptotic safety scenario for the Wess-Zumino model unless there exists a non-tr…
A Resummable beta-Function for Massless QED
Oliver J. Rosten
Within the set of schemes defined by generalized, manifestly gauge invariant exact renormalization groups for QED, it is argued that the beta-function in the four dimensional massl…
Sensitivity of Nonrenormalizable Trajectories to the Bare Scale
Oliver J. Rosten
Working in scalar field theory, we consider RG trajectories which correspond to nonrenormalizable theories, in the Wilsonian sense. An interesting question to ask of such trajector…
Universality From Very General Nonperturbative Flow Equations in QCD
Oliver J. Rosten
In the context of very general exact renormalization groups, it will be shown that, given a vertex expansion of the Wilsonian effective action, remarkable progress can be made with…