Recent theorems

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Archive for February 1997

Central functions¬†$c(g)$ and¬†$c’(g)$ are constructed in quantum field theory. These quantities justify and generalize the notions of central charges recently introduced at criticality, which, together with suitable anomalous dimensions¬†$h$, identify a conformal field theory in four dimensions (CFT$_4$). They are encoded in the four-point function of the stress-energy tensors. The behavior of the central functions is analysed to two-loops in perturbation theory. The central function is the fundamental notion for a description of quantum field theory as a radiative interpolation between pairs of CFT$_4$’s. The problem of computating their RG flow in the far IR limit starting from the UV fixed point is addressed in the context of supersymmetric gauge theories and electric-magnetic duality.

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JHEP 9805:005 (1998) | DOI: 10.1088/1126-6708/1998/05/005

arXiv:hep-th/9702056

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14B1 D. Anselmi
Renormalization

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Last update: May 9th 2015, 230 pages

Contents: Preface | 1. Functional integral | 2. Renormalization | 3. Renormalization group | 4. Gauge symmetry | 5. Canonical formalism | 6. Quantum electrodynamics | 7. Non-Abelian gauge field theories | Notation and useful formulas | References

Course on renormalization, taught in Pisa in 2015. (More chapters will be added later.)