# Callan–Symanzik equations and low-energy theorems with trace anomalies

@article{Yang2007CallanSymanzikEA, title={Callan–Symanzik equations and low-energy theorems with trace anomalies}, author={Ji-Feng Yang}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2007}, volume={40}, pages={11183 - 11190} }

Based on some new and concise forms of the Callan–Symanzik equations, the low-energy theorems involving trace anomalies à la Novikov–Shifman–Vainshtein–Zakharov, first advanced and proved in Novikov et al (1980 Nucl. Phys. B 165 67, 1981 Nucl. Phys. B 191 301), are proved as immediate consequences. The proof is valid in any consistent effective field theories and these low-energy theorems are hence generalized. Some brief discussions about related topics are given.

## 3 Citations

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## References

SHOWING 1-10 OF 35 REFERENCES

### Trace and Dilatation Anomalies in Gauge Theories

- Physics
- 1977

The form of the anomaly in the trace of the energy-momentum tensor in a general theory of interacting fermions and non-Abelian gauge bosons is derived. The result is shown to involve precisely those…

### Energy-Momentum-Tensor Trace Anomaly in Spin 1/2 Quantum Electrodynamics

- Physics
- 1977

We relate the energy-momentum-tensor trace anomaly in spin-1/2 quantum electrodynamics to the functions ..beta.. (..cap alpha..), delta (..cap alpha..) defined through the Callan-Symanzik equations,…

### Threshold resummation in momentum space from effective field theory.

- PhysicsPhysical review letters
- 2006

Methods from soft-collinear effective theory are used to perform the threshold resummation of Sudakov logarithms for the deep-inelastic structure function F2(x,Q2) in the end-point region x-->1…

### Direct instantons, topological charge screening, and QCD glueball sum rules

- Physics
- 2005

Nonperturbative Wilson coefficients of the operator product expansion (OPE) for the spin-0 glueball correlators are derived and analyzed. A systematic treatment of the direct instanton contributions…