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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Topics: Order (ring theory) (61%), 1/N expansion (56%), Quantum chromodynamics (53%) ... read more

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10 results found

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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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Topics: Black hole (54%), Effective field theory (54%), Compact star (53%) ... read more

16 Citations

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09 Jun 2021-

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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Topics: Vector meson dominance (58%), Quantum chromodynamics (56%), Seiberg duality (55%) ... read more

9 Citations

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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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Topics: Vector meson dominance (58%), Quantum chromodynamics (56%), Seiberg duality (55%) ... read more

5 Citations

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Abstract: I discuss a novel scenario on how baryonic matter could turn into a Fermi liquid of fractionalized baryons driven by high density inside compact stars. It involves the "hidden" local vector bosons $\rho$ and $\omega$ together with the "hidden" scale symmetry dilaton $\chi$, both taken to be "dual" to the quarks and gluons of QCD in the sense of quark $\leftrightarrow$ hadron duality and offers a possibility, exploiting the "Cheshire Cat Principle", to unify the "dichotomy" of baryons described in terms of skyrmions and fractional quantum Hall (FQH) droplets {\it and} to explore how the baryonic matter could behave as density goes way beyond the normal nuclear matter density to the density regime where "deconfined" quarks are presumed to figure. The question is raised as to whether the fractionalized characteristics of the "stuff" -- whatever they are -- can be "probed" in the dense star core of compact stars.

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Topics: Quark–gluon plasma (53%), Quark (52%), Baryon (52%) ... read more

1 Citations

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44 results found

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Abstract: A gauge theory with colour gauge group U( N ) and quarks having a colour index running from one to N is considered in the limit N → ∞, g 2 N fixed. It is 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. For hadrons N is probably equal to three. A mathematical framework is proposed to link these concepts of planar diagrams with the functional integrals of Gervais, Sakita and Mandelstam for the dual string.

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Topics: 1/N expansion (62%), Gauge group (55%), Gauge theory (54%) ... read more

4,271 Citations

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Abstract: The anomalies of Ward identities are shown to satisfy consistency or integrability relations, which restrict their possible form. For the case of SU(3) × SU(3) we verify that the anomalies given by Bardeen satisfy the consistency relations. A solution of the anomalous Ward identities is also given which describes concisely all anomalous contributions to low energy theorems. The contributions to strong five pseudoscalar interactions, to Kl4, to one- and two-photon interactions with three pseudoscalars are explicity exhibited.

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Topics: Consistency (statistics) (53%), Pseudoscalar (51%)

2,323 Citations

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Abstract: A new mathematical framework for the Wess-Zumino chiral effective action is described. It is shown that this action obeys an a priori quantization law, analogous to Dirac's quantization of magnetic change. It incorporates in current algebra both perturbative and non-perturbative anomalies.

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Topics: Dirac algebra (66%), Current algebra (61%), Quantization (physics) (55%) ... read more

2,034 Citations

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Abstract: In this paper 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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Topics: Quantum chromodynamics (52%), 1/N expansion (52%), Quark (52%) ... read more

1,779 Citations

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Abstract: We 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. The quarks and gluons of one theory can be interpreted as solitons (non-Abelian magnetic monopoles) of the elementary fields of the other theory. The weak coupling region of one theory is mapped to a strong coupling region of the other. When one of the theories is Higgsed by an expectation value of a squark, the other theory is confined. Massless glueballs, baryons and Abelian magnetic monopoles in the confining description are the weakly coupled elementary quarks (i.e. solitons of the confined quarks) in the dual Higgs description.

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Topics: Seiberg duality (68%), Supersymmetric gauge theory (65%), S-duality (64%) ... read more

1,715 Citations