294 citations · 707 across the 27 of their papers we have counts for
28 papers
The Conformal Anomaly and a new Exact RG
Oliver J. Rosten
For scalar field theory, a new generalization of the Exact RG to curved space is proposed, in which the conformal anomaly is explicitly present. Vacuum terms require regularization…
Wilsonian Ward Identities
Oliver J. Rosten
For conformal field theories, it is shown how the Ward identity corresponding to dilatation invariance arises in a Wilsonian setting. In so doing, several points which are opaque i…
A Conformal Fixed-Point Equation for the Effective Average Action
Oliver J. Rosten
A Legendre transform of the recently discovered conformal fixed-point equation is constructed, providing an unintegrated equation encoding full conformal invariance within the fram…
A Wilsonian Energy-Momentum Tensor
Oliver J. Rosten
For local conformal field theories, it is shown how to construct an expression for the energy-momentum tensor in terms of a Wilsonian effective Lagrangian. Tracelessness implies a…
On Functional Representations of the Conformal Algebra
Oliver J. Rosten
Starting with conformally covariant correlation functions, a sequence of functional representations of the conformal algebra is constructed. A key step is the introduction of repre…
Relationships Between Exact RGs and some Comments on Asymptotic Safety
Oliver J. Rosten
The standard flow equation for the effective average action can be derived from a Legendre transform of Polchinski's exact renormalization group equation. However, the latter is no…