Trace anomaly and infrared cutoffs

Abstract

The Effective Average Action is a form of effective action which depends on a cutoff scale suppressing the contribution of low momentum modes in the functional integral. It reduces to the ordinary effective action when the cutoff scale goes to zero. We derive the modifications of the scale Ward identity due to this cutoff and show how the resulting identity then intimately relates the trace anomaly to the Wilsonian realisation of the renormalization group.

arXiv comment23 pages, 2 figures; references added + extra discussion. Version to appear in PRD

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• Essential renormalisation group
• Asymptotically Safe Gravity with Fermions
• On the scaling of composite operators in Asymptotic Safety
• Universal definition of the non-conformal trace anomaly
• Conformal invariance and vector operators in the $O(N)$ model
• The Nordic-walking mechanism and its explanation of deconfined pseudocriticality from Wess-Zumino-Witten theory
• The continuum limit of the conformal sector at second order in perturbation theory
• Towards Metric-Affine Quantum Gravity