LINEAR MESON AND BARYON TRAJECTORIES IN ADS/QCD

An approximate holographic dual of QCD is constructed and shown to reproduce the empirical linear trajectories of universal slope on which the square masses of radially and orbitally excited hadrons join. Conformal symmetry breaking and other IR effects are described exclusively by deformations of the anti-de Sitter background metric. The predictions for the light hadron spectrum include new relations between ground state masses and trajectory slopes and are in good overall agreement with experimental data.

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Gravitationally coupled magnetic monopole and conformal symmetry breakingThis paper was presented at the Theory CANADA 4 conference, held at Centre de recherches mathématiques, Montréal, Québec, Canada on 4–7 June 2008.

Canadian Journal of Physics ◽

10.1139/p08-131 ◽

2009 ◽

Vol 87 (3) ◽

pp. 251-254 ◽

Cited By ~ 3

Author(s):

Ariel Edery ◽

Luca Fabbri ◽

M. B. Paranjape

Keyword(s):

Symmetry Breaking ◽

Spontaneous Symmetry Breaking ◽

Conformal Symmetry ◽

Scalar Fields ◽

Magnetic Monopoles ◽

De Sitter ◽

Long Distance ◽

Abelian Gauge ◽

Conformally Invariant ◽

The Core

We consider a Georgi–Glashow model conformally coupled to gravity. The conformally invariant action includes a triplet of scalar fields and SO(3) non-Abelian gauge fields. However, the usual mass term μ2ϕ2 is forbidden by the symmetry, and this role is now played by the conformal coupling of the Ricci scalar to the scalar fields. Spontaneous symmetry breaking occurs via gravitation. The spherically symmetric solutions correspond to localized solitons (magnetic monopoles) in asymptotically anti-de Sitter (AdS) spacetime and the metric outside the core of the monopole is found to be Schwarzschild–AdS. Though conformal symmetry excludes the Einstein–Hilbert term in the original action, it emerges in the effective action after spontaneous symmetry breaking and dominates the low-energy–long-distance regime outside the core of the monopole.

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Conformal Symmetry Breaking Operators for Anti-de Sitter Spaces

Trends in Mathematics - Geometric Methods in Physics XXXV ◽

10.1007/978-3-319-63594-1_9 ◽

2018 ◽

pp. 75-91 ◽

Cited By ~ 1

Author(s):

Toshiyuki Kobayashi ◽

Toshihisa Kubo ◽

Michael Pevzner

Keyword(s):

Symmetry Breaking ◽

Conformal Symmetry ◽

De Sitter

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THE METHOD OF INCREMENTS — A WAVEFUNCTION-BASED AB-INITIO CORRELATION METHOD FOR SOLIDS

International Journal of Modern Physics B ◽

10.1142/s0217979207043592 ◽

2007 ◽

Vol 21 (13n14) ◽

pp. 2204-2214 ◽

Cited By ~ 7

Author(s):

BEATE PAULUS

Keyword(s):

Experimental Data ◽

Ab Initio ◽

Ground State ◽

Infinite System ◽

Correlation Energy ◽

Correlation Method ◽

Many Body ◽

Hartree Fock ◽

The Many ◽

Good Agreement

The method of increments is a wavefunction-based ab initio correlation method for solids, which explicitly calculates the many-body wavefunction of the system. After a Hartree-Fock treatment of the infinite system the correlation energy of the solid is expanded in terms of localised orbitals or of a group of localised orbitals. The method of increments has been applied to a great variety of materials with a band gap, but in this paper the extension to metals is described. The application to solid mercury is presented, where we achieve very good agreement of the calculated ground-state properties with the experimental data.

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