Vector mesons on the wall

doi:10.1007/JHEP03(2021)023

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Vector mesons on the wall

Journal Article•DOI•

Vector mesons on the wall

Ryuichiro Kitano¹, Ryuichiro Kitano², Ryutaro Matsudo¹•Institutions (2)

KEK¹, Graduate University for Advanced Studies²

02 Mar 2021-Journal of High Energy Physics (Springer Berlin Heidelberg)-Vol. 2021, Iss: 3, pp 1-27

TL;DR: In this article, the effective theory of large-Nc QCD with Nf massless fermions was determined by taking into account a mixed anomaly involving the θ-periodicity and the global symmetry.

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Abstract: A domain-wall configuration of the η′ meson bounded by a string (called a pancake or a Hall droplet) is recently proposed to describe the baryons with spin Nc/2. In order to understand its baryon number as well as the flavor quantum number, we argue that the vector mesons (the ρ and ω mesons) should play an essential role for the consistency of the whole picture. We determine the effective theory of large-Nc QCD with Nf massless fermions by taking into account a mixed anomaly involving the θ-periodicity and the global symmetry. The anomaly matching requires the presence of a dynamical domain wall on which a $$ \mathrm{U}{\left({N}_f\right)}_{-{N}_c} $$ Chern-Simons theory is supported. We consider the boundary conditions that should be imposed on the edge of the domain wall, and conclude that there should be a boundary term that couples the $$ \mathrm{U}{\left({N}_f\right)}_{-{N}_c} $$ gauge field to the vector mesons. We discuss the impact on physics of the chiral phase transition and the relation to the “duality” of QCD.

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核子構造とcurrent algebra : 素粒子

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重雄花輪

11 Oct 1966

86 citations

Posted Content•

Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions In Compact-Star Matter

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Yong-Liang Ma¹, Mannque Rho•Institutions (1)

Chinese Academy of Sciences¹

22 Sep 2020-arXiv: Nuclear Theory

TL;DR: In this article, the authors discuss the sheet structure of compressed baryonic matter possibly present in massive compact stars in terms of quantum Hall droplets and skyrmions for baryons in medium.

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Abstract: We discuss the "sheet structure" of compressed baryonic matter possibly present in massive compact stars in terms of quantum Hall droplets and skyrmions for baryons in medium. The theoretical framework is anchored on a generalized scale symmetric hidden local symmetry that encompasses standard nuclear effective field theory ($s$EFT) and can access the density regimes relevant to massive compact stars. It hints at a basically different, hitherto unexplored structure of the {\it densest} baryonic matter stable against collapse to black hole. Hidden scale symmetry and hidden local symmetry together in nuclear effective field theory are seen to play a potentially crucial role in providing the hadron-quark duality in compressed baryonic matter.

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17 citations

Cites background from "Vector mesons on the wall"

...paper by Kitano and Matsudo [66] on the structure of the frac-...
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...At first reading, the Kitano-Matsudo approach appears to make certain predictions that render the key premise of the HLS adopted in our work at variance with their approach, e.g., the vector manifestation (VM) fixed point at which the vector meson mass is to vanish, a key ingredient, though indirect, in the pseudo-conformal structure of dense matter and the identification of HLS fields as Chern-Simons fields at high densities in the vicinity of phase transitions....
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...How to correlate or reconcile these two processes appears highly challenging.16 16 Note Added: After this note was completed, we noticed the paper by Kitano and Matsudo [66] on the structure of the frac- 13...
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...[66] R. Kitano and R. Matsudo, “Vector mesons on the wall,” JHEP 2103, 023 (2021)....
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Journal Article•DOI•

Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term

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Avner Karasik¹•Institutions (1)

University of Cambridge¹

20 Oct 2020-arXiv: High Energy Physics - Theory

TL;DR: In this article, it was shown that the vector mesons in QCD have a special role as Chern-Simons fields on various QCD objects such as domain walls and the one flavored baryons.

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Abstract: We further explore a recent proposal that the vector mesons in QCD have a special role as Chern-Simons fields on various QCD objects such as domain walls and the one flavored baryons. We compute contributions to domain wall theories and to the baryon current coming from a generalized Wess-Zumino term including vector mesons. The conditions that lead to the expected Chern-Simons terms and the correct spectrum of baryons, coincide with the conditions for vector meson dominance. This observation provides a theoretical explanation to the phenomenological principle of vector dominance, as well as an experimental evidence for the identification of vector mesons as the Chern-Simons fields. By deriving the Chern-Simons theories directly from an action, we obtain new results about QCD domain walls. One conclusion is the existence of a first order phase transition between domain walls as a function of the quarks' masses. We also discuss applications of our results to Seiberg duality between gluons and vector mesons and provide new evidence supporting the duality.

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13 citations

Cites background or methods or result from "Vector mesons on the wall"

...In this appendix we comment about the proposal made in [29] and the apparent disagreement with our paper....
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...In [29], the hWZ action is written with exactly the same parameters....
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...However, it is claimed in [29] that an extra contribution for the baryon current comes the pancake itself which cancels the contribution from the hWZ action....
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...Therefore, any configuration that carries some baryon charge when computed using the current of [29], will carry the same baryon charge when computed using the current proposed here....
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...The main difference is that we identified this CS field with the ω vector meson, while in [29], the CS field was an emergent U(1)N vector field bounded to the η ′ = π DW....
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Journal Article•DOI•

Cusp in the symmetry energy, speed of sound in neutron stars and emergent pseudo-conformal symmetry

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Anna Di Ronco¹•Institutions (1)

Institut de Physique Théorique¹

30 Jan 2022-Modern Physics Letters A

TL;DR: In this article , it is argued that the symmetry energy resulting from strong correlations with hidden heavy degrees of freedom leads, at $n\gsim n{1/2}$, to what they dubbed "pseudo-conformal" sound speed, $v^2{pcs}/c^2\approx 1/3, precociously converged from below at $ n_{1/ 2}$.

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Abstract: We review how the "cusp" predicted in the nuclear symmetry energy generated by a topology change at density $n_{1/2}\gsim 2 n_0$ can have a surprising consequence, so far unrecognized in nuclear physics and astrophysics communities, on the structure of dense compact-star matter. The topology change, when translated into nuclear EFT with "effective" QCD degrees of freedom in terms of hidden local and scale symmetries duly taken into account, predicts an EoS that is soft below and stiff above $n\gsim n_{1/2}$, involving no low-order phase transitions, and yields the macrophysical properties of neutron stars consistent -- so far with no tension -- with the astrophysical observations, including the maximum mass $ 2.0\lsim M/ M_\odot\lsim 2.2$ as well as the GW data. Furthermore it describes the interior core of the massive stars populated by baryon-charge-fractionalized quasi-fermions that are neither baryonic nor quarkonic. It is argued that the cusp "buried" in the symmetry energy resulting from strong correlations with hidden heavy degrees of freedom leads, at $n\gsim n_{1/2}$, to what we dubbed "pseudo-conformal" sound speed, $v^2_{pcs}/c^2\approx 1/3$, precociously converged from below at $n_{1/2}$. It is not strictly conformal since the trace of energy-momentum tensor is not zero even in the chiral limit. This observation with the topology change identified with the putative hadron-quark continuity, taking place at at density $\gsim 2 n_0$, implies that the quantities accurately measured at $\sim n_0$ cannot give a stringent constraint for what takes place at the core density of compact stars $\sim (3-7) n_0$. This is because the change of degrees of freedom in effective field theory is involved. We discuss the implication of this on the recent PREX-II "dilemma" in the measured skin thickness of $^{208}$Pb.

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11 citations

Journal Article•DOI•

Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term

[...]

Avner Karasik¹•Institutions (1)

University of Cambridge¹

09 Jun 2021

TL;DR: In this article, it was shown that the vector mesons in QCD have a special role as Chern-Simons fields on various QCD objects such as domain walls and the one flavored baryons.

...read moreread less

9 citations

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Journal Article•DOI•

A planar diagram theory for strong interactions

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Gerard 't Hooft¹•Institutions (1)

CERN¹

18 Apr 1974-Nuclear Physics

TL;DR: In this article, it was shown that only planar diagrams with the quarks at the edges dominate; the topological structure of the perturbation series in 1/N is identical to that of the dual models, such that the number 1/n corresponds to the dual coupling constant.

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4,449 citations

"Vector mesons on the wall" refers background in this paper

...In the large Nc limit [4] of massless QCD, the axial symmetry U(1)A is restored and the η′ meson is regarded as the Nambu-Goldstone (NG) boson associated with the spontaneous U(1)A breaking [5, 6]....
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Journal Article•DOI•

Consequences of anomalous ward identities

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Julius Wess¹, Julius Wess², Bruno Zumino¹•Institutions (2)

CERN¹, Karlsruhe Institute of Technology²

01 Nov 1971-Physics Letters B

TL;DR: In this paper, the anomalous Ward identities are shown to satisfy consistency or integrability relations, which restrict their possible form, for the case of SU(3) × SU(1) and for SU(2) + SU (3) + 2.

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2,450 citations

"Vector mesons on the wall" refers methods in this paper

...The ’t Hooft anomaly [1] for SU(Nf )L×SU(Nf )R×U(1)V is matched by the Wess-Zumino-Witten (WZW) term [2, 3]....
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Journal Article•DOI•

Global Aspects of Current Algebra

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Edward Witten¹•Institutions (1)

Princeton University¹

22 Aug 1983-Nuclear Physics

TL;DR: In this paper, a new mathematical framework for the Wess-Zumino chiral effective action is described, and it is shown that this action obeys an a priori quantization law, analogous to Dirac's quantization of magnetic change.

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2,132 citations

"Vector mesons on the wall" refers methods in this paper

...The ’t Hooft anomaly [1] for SU(Nf )L×SU(Nf )R×U(1)V is matched by the Wess-Zumino-Witten (WZW) term [2, 3]....
[...]

Journal Article•DOI•

Baryons in the 1/n Expansion

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Edward Witten¹•Institutions (1)

Harvard University¹

26 Nov 1979-Nuclear Physics

TL;DR: In this article, the existing results concerning mesons and glue states in the large-N limit of QCD are reviewed, and it is shown how to fit baryons into this picture.

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1,934 citations

Journal Article•DOI•

Electric-magnetic duality in supersymmetric non-Abelian gauge theories

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Nathan Seiberg¹, Nathan Seiberg²•Institutions (2)

Institute for Advanced Study¹, Rutgers University²

06 Feb 1995-Nuclear Physics

TL;DR: In this article, the authors demonstrate electric-magnetic duality in N = 1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long distance physics.

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1,775 citations