Chiral and 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:msub><mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>
 restoration for the scalar and pseudoscalar meson nonets

Nicola, Á. Gómez; Elvira, J. Ruiz de

doi:10.1103/physrevd.98.014020

Cited by 24 publications

(31 citation statements)

References 82 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The contribution of the ρ(770) is also important for the hadronic total cross section σ(e + e − → hadrons) [9][10][11], which explains applications that go well beyond low-energy meson physics, ranging from the hadronic-vacuum polarization and the light-by-light contributions to the anomalous magnetic moment of the muon (see, for instance, [12][13][14][15]) to the electromagnetic and tensor-nucleon form factors [16][17][18][19]. Furthermore, it also plays a crucial role in the analysis of heavy meson decays [20,21] and in the restoration of chiral symmetry at high temperatures [22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Light- and strange-quark mass dependence of the ρ(770) meson revisited

Molina

Elvira

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

Recent lattice data on ππ-scattering phase shifts in the vector-isovector channel, pseudoscalar meson masses and decay constants for strange-quark masses smaller or equal to the physical value allow us to study the strangeness dependence of these observables for the first time. We perform a global analysis on two kind of lattice trajectories depending on whether the sum of quark masses or the strange-quark mass is kept fixed to the physical point. The quark mass dependence of these observables is extracted from unitarized coupled-channel one-loop Chiral Perturbation Theory. This analysis guides new predictions on the ρ(770) meson properties over trajectories where the strange-quark mass is lighter than the physical mass, as well as on the SU(3) symmetric line. As a result, the light- and strange-quark mass dependence of the ρ(770) meson parameters are discussed and precise values of the Low Energy Constants present in unitarized one-loop Chiral Perturbation Theory are given. Finally, the current discrepancy between two- and three-flavor lattice results for the ρ(770) meson is studied.

show abstract

Section: Introductionmentioning

confidence: 99%

Light- and strange-quark mass dependence of the ρ(770) meson revisited

Molina

Elvira

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Including the iso-singlet operators (opening up new channels for the investigation of the effective symmetry restoration, see Ref. [9], for instance), they are related by SU A (2) and U A (1) transformations as shown in Fig. 2.…”

Section: Introductionmentioning

confidence: 99%

Testing the strength of the UA(1) anomaly at the chiral phase transition in two-flavour QCD

Brandt¹,

Cè²,

Francis³

et al. 2020

Proceedings of the 9th International Workshop on Chiral Dynamics — PoS(CD2018)

View full text Add to dashboard Cite

We study the thermal transition of QCD with two degenerate light flavours by lattice simulations using O(a)-improved Wilson quarks. Particular emphasis lies on the pattern of chiral symmetry restoration, which we probe via the static screening correlators. On 32 3 volumes we observe that the screening masses in transverse iso-vector vector and axial-vector channels become degenerate at the transition temperature. The splitting between the screening masses in iso-vector scalar and pseudoscalar channels is strongly reduced compared to the splitting at zero temperature and is actually consistent with zero within uncertainties. In this proceedings article we extend our studies to matrix elements and iso-singlet correlation functions. Furthermore, we present results on larger volumes, including first results at the physical pion mass.

show abstract

“…On the other hand, an analysis of chiral and U A (1) symmetry restoration based on Ward identities and U(3) chiral perturbation theory is carried out in [19,20]. The authors showed in their work that, in the limit of exact O(4) restoration, understood in terms of δ − η partner degeneration, the Ward identities analyzed yield also O(4) × U A (1) restoration in terms of π − η degeneration, and the pseudo-critical temperatures for restoration of O(4) and O(4) × U A (1) tend to coincide in the chiral limit.…”

Section: Theoretical Biases Versus Numerical Resultsmentioning

confidence: 99%

Axial UA(1) Anomaly: A New Mechanism to Generate Massless Bosons

Azcoiti

2021

Symmetry

View full text Add to dashboard Cite

Prior to the establishment of QCD as the correct theory describing hadronic physics, it was realized that the essential ingredients of the hadronic world at low energies are chiral symmetry and its spontaneous breaking. Spontaneous symmetry breaking is a non-perturbative phenomenon, and, thanks to massive QCD simulations on the lattice, we have at present a good understanding of the vacuum realization of the non-abelian chiral symmetry as a function of the physical temperature. As far as the UA(1) anomaly is concerned, and especially in the high temperature phase, the current situation is however far from satisfactory. The first part of this article is devoted to reviewing the present status of lattice calculations, in the high temperature phase of QCD, of quantities directly related to the UA(1) axial anomaly. In the second part, some recently suggested interesting physical implications of the UA(1) anomaly in systems where the non-abelian axial symmetry is fulfilled in the vacuum are analyzed. More precisely it is argued that, if the UA(1) symmetry remains effectively broken, the topological properties of the theory can be the basis of a mechanism, other than Goldstone’s theorem, to generate a rich spectrum of massless bosons at the chiral limit.

show abstract

Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets

Cited by 24 publications

References 82 publications

Light- and strange-quark mass dependence of the ρ(770) meson revisited

Light- and strange-quark mass dependence of the ρ(770) meson revisited

Testing the strength of the UA(1) anomaly at the chiral phase transition in two-flavour QCD

Axial UA(1) Anomaly: A New Mechanism to Generate Massless Bosons

Contact Info

Product

Resources

About