The analytic renormalization group
Copyright policy )The analytic renormalization group
Finite temperature Euclidean two-point functions in quantum mechanics or quantum field theory are characterized by a discrete set of Fourier coefficients $G_{k}$, $k\in\mathbb Z$, associated with the Matsubara frequencies $��_{k}=2��k/��$. We show that analyticity implies that the coefficients $G_{k}$ must satisfy an infinite number of model-independent linear equations that we write down explicitly. In particular, we construct "Analytic Renormalization Group" linear maps $\mathsf A_��$ which, for any choice of cut-off $��$, allow to express the low energy Fourier coefficients for $|��_{k}|
52 pages, 25 figures; v2: a few comments and explanations added
- European Organization for Nuclear Research Switzerland
- International Solvay Institutes Belgium
- Université Libre de Bruxelles Belgium
- International Solvay Institutes Belgium
High Energy Physics - Theory, Nuclear and High Energy Physics, Statistical Mechanics (cond-mat.stat-mech), High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Monte Carlo methods, QC770-798, Mathematical Physics (math-ph), Physique atomique et nucléaire, Renormalization group methods applied to problems in quantum field theory, High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Constructive quantum field theory, Nuclear and particle physics. Atomic energy. Radioactivity, Thermal quantum field theory, Condensed Matter - Statistical Mechanics, Mathematical Physics
High Energy Physics - Theory, Nuclear and High Energy Physics, Statistical Mechanics (cond-mat.stat-mech), High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Monte Carlo methods, QC770-798, Mathematical Physics (math-ph), Physique atomique et nucléaire, Renormalization group methods applied to problems in quantum field theory, High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Constructive quantum field theory, Nuclear and particle physics. Atomic energy. Radioactivity, Thermal quantum field theory, Condensed Matter - Statistical Mechanics, Mathematical Physics
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).7 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.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average 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!