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Llanes-Estrada, Felipe J.; Hidalgo-Duque, C.; Williams, Richard

doi:10.5506/aphyspolbsupp.6.81

Cited by 4 publications

(6 citation statements)

References 10 publications

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“…We develop numerical techniques to compute with high precision, for the first time in the framework of chiral invariant quark models, the excited light baryon spectra. V. Angular momentum (L, S) composition extracted from the variational computation, in percentage (e.g., 47 (2,3) means that 47% of that state's wavefunction has L = 2, S = 3). Fractions smaller than 4% are omitted.…”

Section: Discussionmentioning

confidence: 99%

“…In a short letter [1] and several communications [2][3][4][5][6] we proposed a variational approach to the truncated Coulomb gauge formulation of QCD, considering a linearly confining term, to gain novel insights into the baryon spectrum, particularly into the standing conjecture of Insensitivity to Chiral Symmetry Breaking (IChSB) in the high spectrum.…”

Section: Introductionmentioning

confidence: 99%

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Mapping chiral symmetry breaking in the excited baryon spectrum

Bicudo¹,

Cardoso²,

Llanes-Estrada³

et al. 2016

Phys. Rev. D

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We study the conjectured "insensitivity to chiral symmetry breaking" in the highly excited light baryon spectrum. While the experimental spectrum is being measured at JLab and CBELSA/TAPS, this insensitivity remains to be computed theoretically in detail. As the only existing option to have both confinement, highly excited states, and chiral symmetry, we adopt the truncated Coulomb-gauge formulation of QCD, considering a linearly confining Coulomb term. Adopting a systematic and numerically intensive variational treatment up to 12 harmonic oscillator shells we are able to access several angular and radial excitations. We compute both the excited spectra of I ¼ 1=2 and I ¼ 3=2 baryons, up to large spin J ¼ 13=2, and study in detail the proposed chiral multiplets. While the static-light and light-light spectra clearly show chiral symmetry restoration high in the spectrum, the realization of chiral symmetry is more complicated in the baryon spectrum than earlier expected.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mapping chiral symmetry breaking in the excited baryon spectrum

Bicudo¹,

Cardoso²,

Llanes-Estrada³

et al. 2016

Phys. Rev. D

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“…Weinberg has argued that the lowest-lying tetraquark configuration for small Nc in Ref. [211] is not suppressed in the large Nc limit. 21 We are assuming U (2) flavor symmetry for V = (ρ, ω).…”

Section: Dilaton and Mean Field Approximationmentioning

confidence: 99%

“…This means that the vector mean field will vanish and the relativistic mean field approach used for the 20 Such a level crossing is discussed in Refs. [211,199] in terms of the Fock-space expansion in leading order in Nc. The Nc dependence exploited here may be connected to the Nc dependence of the various Fock spaces at different energy scales.…”

Section: Dilaton and Mean Field Approximationmentioning

confidence: 99%

Chiral symmetry and effective field theories for hadronic, nuclear and stellar matter

2016

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International audienceChiral symmetry, first entering in nuclear physics in the 1970s for which Gerry Brown played a seminal role, has led to a stunningly successful framework for describing strongly-correlated nuclear dynamics both in finite and infinite systems. We review how the early, germinal idea conceived with the soft-pion theorems in the pre-QCD era has evolved into a highly predictive theoretical framework for nuclear physics, aptly assessed by Steven Weinberg: “it (chiral effective field theory) allows one to show in a fairly convincing way that what they (nuclear physicists) have been doing all along... is the correct first step in a consistent approximation scheme”. Our review recounts both how the theory presently fares in confronting Nature and how one can understand its extremely intricate workings in terms of the multifaceted aspects of chiral symmetry, namely, chiral perturbation theory, skyrmions, Landau Fermi-liquid theory, the Cheshire cat phenomenon, and hidden local and mended symmetries

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“…Retaining one or both of these two contributions is the usual approximation when treating the quarkgluon vertex function in functional or semi-perturbative approaches, see, e.g., refs. [47,49,53,81,[84][85][86][87][88][89][90] (but also refs. [91][92][93][94] for significantly different continuum formulations).…”

Section: B the Fermion-gauge-boson Three-point Vertexmentioning

confidence: 99%

Low-energy spectrum of an SU(2) gauge theory with dynamical fermions

Vujinovic

Alkofer

2018

Phys. Rev. D

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The spectrum of light bound states in an SU(2) gauge theory with two flavors of fundamentally charged fermions is investigated by solving the Bethe-Salpeter equations in the respective channels within a 3PI-type (i.e., beyond rainbow-ladder) truncation including self-consistently a correspondingly truncated fermion-gauge-boson vertex. Remarkable differences with respect to the meson spectrum of an SU(3) gauge theory are found although in our approach these are not as pronounced as indicated by some recent respective investigations within lattice gauge field theory.

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Cited by 4 publications

References 10 publications

Mapping chiral symmetry breaking in the excited baryon spectrum

Mapping chiral symmetry breaking in the excited baryon spectrum

Chiral symmetry and effective field theories for hadronic, nuclear and stellar matter

Low-energy spectrum of an SU(2) gauge theory with dynamical fermions

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