|Quantum field theory|
In physics, the Callan–Symanzik equation is a differential equation describing the evolution of the n-point correlation functions under variation of the energy scale at which the theory is defined and involves the beta-function of the theory and the anomalous dimensions. This equation has the following structure
being the beta function and the scaling of the fields.
In quantum electrodynamics this equation takes the form
- C. G. Callan, Jr., Broken Scale Invariance in Scalar Field Theory, Phys. Rev. D 2, 1541–1547 (1970). APS
- K. Symanzik, Small Distance Behaviour in Field Theory and Power Counting, Commun. math. Phys. 18, 227 (1970). SpringerLink
- K. Symanzik, Small-Distance-Behaviour Analysis and Wilson Expansions, Commun. math. Phys. 23, 49 (1971). SpringerLink