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The analytic renormalization group [PDF]

open access: yesNuclear Physics B, 2016
Finite temperature Euclidean two-point functions in quantum mechanics or quantum field theory are characterized by a discrete set of Fourier coefficients Gk, k∈Z, associated with the Matsubara frequencies νk=2πk/β.
Frank Ferrari
doaj   +7 more sources

Renormalized functional renormalization group [PDF]

open access: yesPhysics Letters B, 2018
We construct a new version of the effective average action together with its flow equation. The construction entails in particular the consistency of fluctuation field and background field equations of motion, even for finite renormalization group scales.
Stefan Lippoldt
doaj   +4 more sources

Quark Confinement and the Renormalization Group [PDF]

open access: yesPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2010
Recent approaches to quark confinement are reviewed, with an emphasis on their connection to renormalization group methods. Basic concepts related to confinement are introduced: the string tension, Wilson loops and Polyakov lines, string breaking, string tension scaling laws, center symmetry breaking, and the deconfinement transition at non-zero ...
Migdal A. A.   +2 more
arxiv   +8 more sources

Global Renormalization Group [PDF]

open access: yesPhysical Review D, 1997
The motivation and the challenge in applying the renormalization group for systems with several scaling regimes is briefly outlined. The four dimensional $\phi^4$ model serves as an example where a nontrivial low energy scaling regime is identified in ...
Alexandre, Jean   +2 more
core   +9 more sources

Renormalization Group Therapy [PDF]

open access: yesPhysical Review D, 2007
We point out a general problem with the procedures commonly used to obtain improved actions from MCRG decimated configurations. Straightforward measurement of the couplings from the decimated configurations, by one of the known methods, can result into ...
A. Velytsky   +3 more
core   +6 more sources

Renormalization Group and Universality [PDF]

open access: yesPhysical Review D, 1995
It is argued that universality is severely limited for models with multiple fixed points. As a demonstration the renormalization group equations are presented for the potential and the wave function renormalization constants in the $O(N)$ scalar field ...
A. Hasenfratz   +19 more
core   +4 more sources

Renormalization group and divergences [PDF]

open access: yesJournal of Statistical Physics, 2014
Application of asymptotic freedom to the ultraviolet stability in Euclidean quantum field theories is revisited and illustrated through the hierarchical model making also use of a few technical developments that followed the original works of Wilson on ...
Gallavotti, Giovanni
core   +5 more sources

Renormalization group theory of molecular dynamics [PDF]

open access: yesScientific Reports, 2021
Large scale computation by molecular dynamics (MD) method is often challenging or even impractical due to its computational cost, in spite of its wide applications in a variety of fields.
Daiji Ichishima, Yuya Matsumura
doaj   +2 more sources

Functional renormalization group approach to zero-dimensional interacting systems [PDF]

open access: yesJ. Phys.: Condensed Matter 16, 5279 (2004), 2004
We apply the functional renormalization group method to the calculation of dynamical properties of zero-dimensional interacting quantum systems. As case studies we discuss the anharmonic oscillator and the single impurity Anderson model. We truncate the hierarchy of flow equations such that the results are at least correct up to second order ...
Allen J W   +28 more
arxiv   +3 more sources

Local renormalization group functions from quantum renormalization group and holographic bulk locality [PDF]

open access: yesarXiv, 2015
The bulk locality in the constructive holographic renormalization group requires miraculous cancellations among various local renormalization group functions. The cancellation is not only from the properties of the spectrum but from more detailed aspects of operator product expansions in relation to conformal anomaly.
Nakayama, Yu
arxiv   +6 more sources

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