Functional Callan–Symanzik Equations
Copyright policy )Functional Callan–Symanzik Equations
We describe a functional method to obtain the exact evolution equation of the effective action with a parameter of the bare theory. When this parameter happens to be the bare mass of the scalar field, we find a functional generalization of the Callan-Symanzik equations. Another possibility is when this parameter is the Planck constant and controls the amplitude of the fluctuations. We show the similarity of these equations with the Wilsonian renormalization group flows and also recover the usual one loop effective action.
17 pages, to appear in Annals of Physics
- King's College London United Kingdom
- Louis Pasteur University France
- UNIVERSITE MARIE ET LOUIS PASTEUR France
- University of Strasbourg France
- French National Centre for Scientific Research France
High Energy Physics - Theory, Wilson, FOS: Physical sciences, ultraviolett cutoff, 530, Renormalization group methods applied to problems in quantum field theory, one-loop effective action, effective action, control parameter, High Energy Physics - Theory (hep-th), blocking procedure, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], renormalization group, successive elimination of degrees of freedom
High Energy Physics - Theory, Wilson, FOS: Physical sciences, ultraviolett cutoff, 530, Renormalization group methods applied to problems in quantum field theory, one-loop effective action, effective action, control parameter, High Energy Physics - Theory (hep-th), blocking procedure, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], renormalization group, successive elimination of degrees of freedom
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).47 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!