# Sum rules for trace anomalies and irreversibility of the renormalization group flow

@article{Anselmi2002SumRF, title={Sum rules for trace anomalies and irreversibility of the renormalization group flow}, author={Damiano Anselmi}, journal={Acta Physica Slovaca}, year={2002}, volume={52}, pages={573} }

I review my explanation of the irreversibility of the renormalization-group flow in even dimensions greater than two and address new investigations and tests.

## 6 Citations

### Inequalities for trace anomalies, length of the RG flow, distance between the fixed points and irreversibility

- Physics
- 2004

I discuss several issues about the irreversibility of the RG flow and the trace anomalies c, a and a'. First I argue that in quantum field theory: (i) the scheme-invariant area Δa' of the graph of…

### Inequalities for trace anomalies, length of the RG flow, distance between the fixed points and irreversibility

- Physics
- 2003

I discuss several issues about the irreversibility of the RG flow and the trace anomalies c, a and a′. First I argue that in quantum field theory: (i) the scheme-invariant area Δa′ of the graph of…

### Renormalization and causality violations in classical gravity coupled with quantum matter

- Physics
- 2007

I prove that classical gravity coupled with quantized matter can be renormalized with a finite number of independent couplings, plus field redefinitions, without introducing higher-derivative kinetic…

### Search for flow invariants in even and odd dimensions

- Mathematics
- 2003

A flow invariant in quantum field theory is a quantity that does not depend on the flow connecting the UV and IR conformal fixed points. We study the flow invariance of the most general sum rule with…

### Supercurrent multiplet correlators at weak and strong coupling

- Physics
- 2014

A bstractCorrelators of gauge invariant operators provide useful information on the dynamics, phases and spectra of a quantum field theory. In this paper, we consider four dimensional $ \mathcal{N} $…

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