Gradient Flow: Perturbative and Non-Perturbative Renormalization

Shindler, Andrea

doi:10.1051/epjconf/202227401005

Cited by 4 publications

(4 citation statements)

References 59 publications

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“…In this way, our proposal for the QCD vacuum wavefunctional realizes at very short distances the Bjorken's femptouniverse picture [64], while at larger distances, the perturbative vacuum should be replaced by our stabilized ground-state wavefunctional. However, there are obvious problems related to the fact that our variational wavefunctional, according to Equation (91), is not favored energetically nor does it seem to have the needed ingredients to explain the observed color and quark confinement phenomena. Anyway, these last points will be further discussed more carefully in a later section.…”

Section: The Variational Minimization Of the Vacuum Energymentioning

confidence: 99%

“…To smooth the gauge field configurations, the Yang-Mills gradient flow was employed (for a recent review, see, e.g., Ref. [91] and references therein). The spatial distribution of the static color source energy-momentum tensor was obtained by measuring the correlators of the conserved renormalized stress tensor [92] and a Wilson loop.…”

Section: Color Confinement Flux Tubes and Meissner Effectsmentioning

confidence: 99%

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The QCD Vacuum as a Disordered Chromomagnetic Condensate

Cea

2024

Universe

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An attempt is made to describe from first principles the large-scale structure of the confining vacuum in quantum chromodynamics. Starting from our previous variational studies of the SU(2) pure gauge theory in an external Abelian chromomagnetic field and extending Feynman’s qualitative analysis in (2+1)-dimensional SU(2) gauge theory, we show that the SU(3) vacuum in three-space and one-time dimensions behaves like a disordered chromomagnetic condensate. Color confinement is assured by the presence of a mass gap together with the absence of color long-range correlations. We offer a clear physical picture for the formation of the flux tube between static quark charges that allows us to determine the color structure and the transverse profile of the flux-tube chromoelectric field. The transverse profile of the flux-tube chromoelectric field turns out to be in reasonable agreement with lattice data. We, also, show that our quantum vacuum allows for both the color and ordinary Meissner effect. We find that for massless quarks, the quantum vacuum can accommodate a finite non-zero density of fermion zero modes leading to the dynamical breaking of the chiral symmetry.

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Section: The Variational Minimization Of the Vacuum Energymentioning

confidence: 99%

Section: Color Confinement Flux Tubes and Meissner Effectsmentioning

confidence: 99%

The QCD Vacuum as a Disordered Chromomagnetic Condensate

Cea

2024

Universe

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“…The gradient flow [29][30][31][32][39][40][41][42][43] has become a well-known tool in lattice simulations with common usage for e.g. scale setting.…”

Section: Gradient Flow and Short-flow-time Expansionmentioning

confidence: 99%

Using Gradient Flow to Renormalise Matrix Elements for Meson Mixing and Lifetimes

Black,

Harlander,

Lange

et al. 2023

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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Neutral meson mixing and meson lifetimes are theory-side parametrised in terms four-quark operators which can be determined by calculating weak decay matrix elements using lattice Quantum Chromodynamics. While calculations of meson mixing matrix elements are standard, determinations of lifetimes typically suffer from complications in renormalisation procedures because dimension-6 four-quark operators can mix with operators of lower mass dimension and, moreover, quark-line disconnected diagrams contribute. We present work detailing the idea to use fermionic gradient flow to non-perturbatively renormalise matrix elements describing meson mixing or lifetimes, and combining it with a perturbative calculation to match to the MS scheme using the short-flow-time expansion.

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“…For a recent review on the applications to renormalization of the gradient flow see Ref. [2]. Discretization effects of the gradient flow for gauge fields [3][4][5] have been studied for example in Refs.…”

Section: Introductionmentioning

confidence: 99%