Recent progress on chiral symmetry breaking in QCD

Giusti, Leonardo

doi:10.22323/1.251.0001

Cited by 3 publications

(5 citation statements)

References 45 publications

(108 reference statements)

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“…We found that cut-off effects in the topological susceptibility from the GF are much larger than in the susceptibility from spectral projectors and can be up to 500% at the coarsest lattice spacing of around 0.09 fm. Nevertheless, the continuum limit is always compatible between GF and spectral projectors, and also independent of the flow time (GF) or the renormalized spectral threshold (spectral projectors), as long as these scales are fixed in physical units [93]. We refer the reader to this paper for more details.…”

Section: Discussionmentioning

confidence: 99%

Comparison of topological charge definitions in Lattice QCD

et al. 2020

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In this paper, we show a comparison of different definitions of the topological charge on the lattice. We concentrate on one small-volume ensemble with 2 flavours of dynamical, maximally twisted mass fermions and use three more ensembles to analyze the approach to the continuum limit. We investigate several fermionic and gluonic definitions. The former include the index of the overlap Dirac operator, the spectral flow of the Wilson-Dirac operator and the spectral projectors. For the latter, we take into account different discretizations of the topological charge operator and various smoothing schemes to filter out ultraviolet fluctuations: the gradient flow, stout smearing, APE smearing, HYP smearing and cooling. We show that it is possible to perturbatively match different smoothing schemes and provide a well-defined smoothing scale. We relate the smoothing parameters for cooling, stout and APE smearing to the gradient flow time τ. In the case of hypercubic smearing the matching is performed numerically. We investigate which conditions have to be met to obtain a valid definition of the topological charge and susceptibility and we argue that all valid definitions are highly correlated and allow good control over topology on the lattice.

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Section: Discussionmentioning

confidence: 99%

Comparison of topological charge definitions in Lattice QCD

et al. 2020

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“…[35,36] and for the standard Wilson gluonic action and the non-perturbatively O(a)-improved Wilson fermion action [37] by Refs. [38][39][40]. As an example for the determination of the chiral condensate on the lattice we follow the discussion in Ref.…”

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confidence: 99%

“…Therefore, the following results, see also Refs. [31,[38][39][40][41], can be computed using the (improved) Wilson formulation of lattice QCD even though the latter violates chiral symmetry at energies on the order of the inverse lattice spacing. We conclude that the mode number ν is a renormalization group invariant quantity…”

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confidence: 99%

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Chiral symmetry breaking on the lattice

Faber

Höllwieser

2017

Progress in Particle and Nuclear Physics

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“…see for example [64,65,66] for reviews. The symmetry properties of the QCD Lagrangian become more apparent when rewriting it in terms of left-and right-handed fields, which gives…”

Section: Qcd Phase Diagram and Symmetriesmentioning

confidence: 99%

Electromagnetic Probes: Theory and Experiment

Tripolt¹,

Geurts²

2022

Preprint

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We review the current state of research on electromagnetic probes in the context of heavy-ion collisions. The focus is on thermal photons and dileptons which provide unique insights into the properties of the created hot and dense matter.This review is intended to provide an introductory overview of the topic as well as a discussion of recent theoretical and experimental results. In particular, we discuss the role of vector-meson spectral functions in the calculation of photon and dilepton rates and present recent results obtained from different frameworks. Furthermore, we will highlight the special role of photons and dileptons to provide information on observables such as the temperature, the lifetime, the polarization and the electrical conductivity of the produced medium as well as their use to learn about chiral symmetry restoration and phase transitions.

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Recent progress on chiral symmetry breaking in QCD

Abstract: I review recent progress achieved on the lattice in the quantitative comprehension of chiral symmetry breaking in QCD. Emphasis is given to the recent precise computations of the spectral density of the Dirac operator in the continuum limit, and of the topological susceptibility.

Cited by 3 publications

References 45 publications

Comparison of topological charge definitions in Lattice QCD

Comparison of topological charge definitions in Lattice QCD

Chiral symmetry breaking on the lattice

Electromagnetic Probes: Theory and Experiment

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