BARYON TRANSFER THROUGH THE INTERFACE BETWEEN REGIONS OF BROKEN AND RESTORED CHIRAL SYMMETRY

The shrinking of a chirally symmetric droplet of finite baryonic charge, immersed into the broken symmetry medium is described. The treatment is parallel to the methods applied in the Skyrme model of the nucleon.

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Asymptotic Freedom and Confinement Imply Spontaneously Broken Chiral Symmetry in Quantum Chromodynamics

Modern Physics Letters A ◽

10.1142/s0217732397001679 ◽

1997 ◽

Vol 12 (22) ◽

pp. 1649-1654

Author(s):

R. Acharya ◽

P. Narayana Swamy

Keyword(s):

Quantum Chromodynamics ◽

Chiral Symmetry ◽

Broken Symmetry ◽

Asymptotic Freedom

We utilize Coleman's theorem and show that quantum chromodynamics based on asymptotic freedom and confinement must have chiral symmetry realized as a spontaneously broken symmetry.

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Analytic multi-Baryonic solutions in the SU(N)-Skyrme model at finite density

Journal of High Energy Physics ◽

10.1007/jhep12(2021)150 ◽

2021 ◽

Vol 2021 (12) ◽

Author(s):

Sergio L. Cacciatori ◽

Fabrizio Canfora ◽

Marcela Lagos ◽

Federica Muscolino ◽

Aldo Vera

Keyword(s):

Total Energy ◽

Topological Charge ◽

Analytic Solutions ◽

Integrable Equation ◽

Skyrme Model ◽

Low Density ◽

Field Equations ◽

Complete Set ◽

Baryonic Charge ◽

Density Regime

Abstract We construct explicit analytic solutions of the SU(N)-Skyrme model (for generic N) suitable to describe different phases of nuclear pasta at finite volume in (3 + 1) dimensions. The first type are crystals of Baryonic tubes (nuclear spaghetti) while the second type are smooth Baryonic layers (nuclear lasagna). Both, the ansatz for the spaghetti and the ansatz for the lasagna phases, reduce the complete set of Skyrme field equations to just one integrable equation for the profile within sectors of arbitrary high topological charge. We compute explicitly the total energy of both configurations in terms of the flavor number, the density and the Baryonic charge. Remarkably, our analytic results allow to compare explicitly the physical properties of nuclear spaghetti and lasagna phases. Our construction shows explicitly that, at lower densities, configurations with N = 2 light flavors are favored while, at higher densities, configurations with N = 3 are favored. Our construction also proves that in the high density regime (but still well within the range of validity of the Skyrme model) the lasagna configurations are favored while at low density the spaghetti configurations are favored. Moreover, the integrability property of the present configurations is not spoiled by the inclusion of the subleading corrections to the Skyrme model arising in the ’t Hooft expansion. Finally, we briefly discuss the large N limit of our configurations.

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Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density

The European Physical Journal C ◽

10.1140/epjc/s10052-020-8275-1 ◽

2020 ◽

Vol 80 (8) ◽

Cited By ~ 1

Author(s):

Fabrizio Canfora ◽

Marcela Lagos ◽

Aldo Vera

Keyword(s):

Baryon Density ◽

Skyrme Model ◽

Low Energy ◽

Energy Limit ◽

Field Equations ◽

Finite Density ◽

Ordered Arrays ◽

Coupled Field Equations ◽

The Stability ◽

Baryonic Charge

Abstract The low energy limit of QCD admits (crystals of) superconducting Baryonic tubes at finite density. We begin with the Maxwell-gauged Skyrme model in (3 + 1)-dimensions (which is the low energy limit of QCD in the leading order of the large N expansion). We construct an ansatz able to reduce the seven coupled field equations in a sector of high Baryonic charge to just one linear Schrödinger-like equation with an effective potential (which can be computed explicitly) periodic in the two spatial directions orthogonal to the axis of the tubes. The solutions represent ordered arrays of Baryonic superconducting tubes as (most of) the Baryonic charge and total energy is concentrated in the tube-shaped regions. They carry a persistent current (which vanishes outside the tubes) even in the limit of vanishing U(1) gauge field: such a current cannot be deformed continuously to zero as it is tied to the topological charge. Then, we discuss the subleading corrections in the ’t Hooft expansion to the Skyrme model (called usually $$ {\mathcal {L}}_{6}$$L6, $${\mathcal {L}}_{8}$$L8 and so on). Remarkably, the very same ansatz allows to construct analytically these crystals of superconducting Baryonic tubes at any order in the ’t Hooft expansion. Thus, no matter how many subleading terms are included, these ordered arrays of gauged solitons are described by the same ansatz and keep their main properties manifesting a universal character. On the other hand, the subleading terms can affect the stability properties of the configurations setting lower bounds on the allowed Baryon density.

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Chiral symmetry restoration and the skyrme model

Nuclear Physics A ◽

10.1016/0375-9474(89)90009-2 ◽

1989 ◽

Vol 504 (4) ◽

pp. 818-828 ◽

Cited By ~ 44

Author(s):

H. Forkel ◽

A.D. Jackson ◽

Mannque Rho ◽

C. Weiss ◽

A. Wirzba ◽

...

Keyword(s):

Chiral Symmetry ◽

Skyrme Model ◽

Chiral Symmetry Restoration

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GENESIS AND EVOLUTION OF THE SKYRME MODEL FROM 1954 TO THE PRESENT

International Journal of Modern Physics A ◽

10.1142/s0217751x92000028 ◽

1992 ◽

Vol 07 (01) ◽

pp. 1-40 ◽

Cited By ~ 3

Author(s):

VALERY I. SANYUK

Keyword(s):

Nuclear Matter ◽

Chiral Symmetry ◽

Particle Physics ◽

Fluid Model ◽

Skyrme Model ◽

Model Description ◽

Historical Survey ◽

Nonlinear Realization ◽

Final Version ◽

Topological Charges

Not widely known facts on the genesis of the Skyrme model are presented in a historical survey, based on Skyrme's earliest papers and on his own published remembrance. We consider the evolution of Skyrme's model description of nuclear matter from the "Mesonic Fluid" model up to its final version, known as the baryon model. We pay special tribute to some well-known ideas in contemporary particle physics which one can find in Skyrme's earlier papers, such as: Nuclear Democracy, the Solitonic Mechanism, the Nonlinear Realization of Chiral Symmetry, Topological Charges, Fermi–Bose Transmutations, etc. It is curious to note in the final version of the Skyrme model gleams of Kelvin's "Vortex Atoms" theory. In conclusion we make a brief analysis of the validity of Skyrme's conjectures in view of recent results and pinpoint some questions which still remain.

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