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Analytic SU(N) Skyrmions at finite Baryon density

Pedro D. Alvarez
(
- Antofagasta U.
)
,
Sergio L. Cacciatori
(
- Insubria U., Como and
- INFN, Milan
)
,
Fabrizio Canfora
(
- CECS, Valdivia
)
,
Bianca L. Cerchiai
(
- Enrico Fermi Ctr., Rome and
- INFN, Turin
)

Jun 3, 2020

36 pages

Published in:

Phys.Rev.D 101 (2020) 12, 125011

Published: Jun 13, 2020

e-Print:

2005.11301 [hep-th]

DOI:

10.1103/PhysRevD.101.125011

View in:

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Abstract: (APS)

We construct analytic (3+1)-dimensional Skyrmions living at finite baryon density in the SU(N) Skyrme model that are not trivial embeddings of SU(2) into SU(N). We use Euler angle decomposition for arbitrary N and the generalized hedgehog ansatz at finite baryon density. The skyrmions of high topological charge that we find represent smooth baryonic layers whose properties can be computed explicitly. In particular, we determine the energy-to-baryon charge ratio for any N showing the smoothness of the large-N limit. The closeness to the BPS bound of these configurations can also be analyzed. The energy density profiles of these finite density skyrmions have a “lasagna-like” shape, in agreement with recent experimental findings. The shear modulus can be precisely estimated as well, and our analytical result is close to recent numerical studies in the literature.

Note:

36 pages, REVTeX, accepted for publication in Phys. Rev. D, added some references

Formal aspects of field theory, field theory in curved space
baryon: density
baryon: charge
charge: topological
dimension: 4
Skyrmion
SU(N)
expansion 1/N
Skyrme model
group: embedding

References(66)

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[1]

QCD and Strongly Coupled Gauge Theories: Challenges and Perspectives

N. Brambilla
(
- Munich, Tech. U.
)
,
S. Eidelman
(
- Novosibirsk, IYF and
- Novosibirsk State U.
)
,
P. Foka
(
- Darmstadt, GSI
)
,
S. Gardner
(
- Kentucky U.
)
,
A.S. Kronfeld
(
- Fermilab
)

et al.

- Eur.Phys.J.C 74 (2014) 10, 2981
•
e-Print:
- 1404.3723
•
DOI:
- 10.1140/epjc/s10052-014-2981-5

[2]

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1.

Yoichiro Nambu
(
- Chicago U., EFI
)
,
G. Jona-Lasinio
(
- Chicago U., EFI
)

- Phys.Rev. 122 (1961) 345-358,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 104-117,
•
DOI:
- 10.1103/PhysRev.122.345

[3]

At the Frontier of Particle Physics.Handbook of QCD.Vol. 1-3

M. Shifman
,
B. Ioffe
,
K. Rajagopal
,
F. Wilczek

[4]

Crystalline color superconductivity

- Phys.Rev.D 63 (2001) 074016
•
e-Print:
- hep-ph/0008208
•
DOI:
- 10.1103/PhysRevD.63.074016

[5]

Inhomogeneous superconductivity in condensed matter and QCD

Roberto Casalbuoni
(
- CERN
)
,
Giuseppe Nardulli
(
- Bari U.
)

- Rev.Mod.Phys. 76 (2004) 263-320
•
e-Print:
- hep-ph/0305069
•
DOI:
- 10.1103/RevModPhys.76.263

[6]

STRUCTURE OF MATTER BELOW NUCLEAR SATURATION DENSITY

D.G. Ravenhall
(
- Illinois U., Urbana and
- Nordita
)
,
C.J. Pethick
(
- Illinois U., Urbana and
- Nordita
)
,
J.R. Wilson
(
- LLNL, Livermore
)

- Phys.Rev.Lett. 50 (1983) 2066-2069
•
DOI:
- 10.1103/PhysRevLett.50.2066

[7]

Shape of Nuclei in the Crust of Neutron Star

- Prog.Theor.Phys. 71 (1984) 2, 320-326
•
DOI:
- 10.1143/ptp.71.320

[8]

Disordered nuclear pasta, magnetic field decay, and crust cooling in neutron stars

et al.

- Phys.Rev.Lett. 114 (2015) 3, 031102
•
e-Print:
- 1410.2197
•
DOI:
- 10.1103/PhysRevLett.114.031102

[9]

“Parking-garage” structures in nuclear astrophysics and cellular biophysics

- Phys.Rev.C 94 (2016) 5, 055801
•
e-Print:
- 1509.00410
•
DOI:
- 10.1103/PhysRevC.94.055801

[10]

Phase transitions and symmetry energy in nuclear pasta

- Nucl.Phys.A 978 (2018) 35-64
•
e-Print:
- 1803.08819
•
DOI:
- 10.1016/j.nuclphysa.2018.07.008

[11]

Domains and defects in nuclear pasta

Andre da Silva Schneider
(
- Caltech
)
,
Matt E. Caplan
(
- McGill U.
)
,
Don K. Berry
(
- Indiana U., CEEM and
- Indiana U.
)
,
Charles J. Horowitz
(
- Indiana U., CEEM and
- Indiana U.
)

- Phys.Rev.C 98 (2018) 5, 055801
•
e-Print:
- 1807.00102
•
DOI:
- 10.1103/PhysRevC.98.055801

[12]

Elasticity of Nuclear Pasta

- Phys.Rev.Lett. 121 (2018) 13, 132701
•
e-Print:
- 1807.02557
•
DOI:
- 10.1103/PhysRevLett.121.132701

[13]

Calculation of the transport coefficients of the nuclear pasta phase

Rana Nandi
(
- TIFR, Mumbai, DHEP
)
,
Stefan Schramm
(
- Frankfurt U., FIAS
)

- J.Astrophys.Astron. 39 (2018) 40
•
DOI:
- 10.1007/s12036-018-9533-6

[14]

Phases of cold, dense quarks at large N(c)

Larry McLerran
(
- Brookhaven and
- RIKEN BNL
)
,
Robert D. Pisarski
(
- Brookhaven
)

- Nucl.Phys.A 796 (2007) 83-100
•
e-Print:
- 0706.2191
•
DOI:
- 10.1016/j.nuclphysa.2007.08.013

[14]

Baryons and the phase diagram for a large number of colors and flavors

Yoshimasa Hidaka
(
- RIKEN BNL
)
,
Larry D. McLerran
(
- RIKEN BNL and
- Brookhaven
)
,
Robert D. Pisarski
(
- Brookhaven
)

- Nucl.Phys.A 808 (2008) 117-123
•
e-Print:
- 0803.0279
•
DOI:
- 10.1016/j.nuclphysa.2008.05.009

[15]

Chirally symmetric but confining dense and cold matter

L.Ya. Glozman
(
- Graz U.
)
,
R.F. Wagenbrunn
(
- Graz U.
)

- Phys.Rev.D 77 (2008) 054027
•
e-Print:
- 0709.3080
•
DOI:
- 10.1103/PhysRevD.77.054027

[16]

Dynamical Symmetry Breaking in Asymptotically Free Field Theories

- Phys.Rev.D 10 (1974) 3235
•
DOI:
- 10.1103/PhysRevD.10.3235

[17]

Semiclassical Bound States in an Asymptotically Free Theory

- Phys.Rev.D 12 (1975) 2443
•
DOI:
- 10.1103/PhysRevD.12.2443

[18]

Semiclassical Bound States in a Model with Chiral Symmetry

Sun-Sheng Shei
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev.D 14 (1976) 535
•
DOI:
- 10.1103/PhysRevD.14.535

[19]

Dynamical generation of extended objects in a (1+1)-dimensional chiral field theory: Nonperturbative Dirac operator resolvent analysis

Joshua Feinberg
(
- Santa Barbara, KITP
)
,
A. Zee
(
- Santa Barbara, KITP
)

- Phys.Rev.D 56 (1997) 5050-5065
•
e-Print:
- cond-mat/9603173
•
DOI:
- 10.1103/PhysRevD.56.5050

[20]

A Twisted Kink Crystal in the Chiral Gross-Neveu model

Gokce Basar
(
- Connecticut U.
)
,
Gerald V. Dunne
(
- Connecticut U.
)

- Phys.Rev.D 78 (2008) 065022
•
e-Print:
- 0806.2659
•
DOI:
- 10.1103/PhysRevD.78.065022

[21]

Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density

- Phys.Rev.D 62 (2000) 096002
•
e-Print:
- hep-th/0003195
•
DOI:
- 10.1103/PhysRevD.62.096002

[22]

From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram

Michael Thies
(
- Erlangen - Nuremberg U., Theorie III
)

- J.Phys.A 39 (2006) 12707-12734
•
e-Print:
- hep-th/0601049
•
DOI:
- 10.1088/0305-4470/39/41/S04

[23]

Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL(2) model

- Phys.Rev.D 79 (2009) 105012
•
e-Print:
- 0903.1868
•
DOI:
- 10.1103/PhysRevD.79.105012

[24]

A Two-Dimensional Model for Mesons

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 75 (1974) 461-470
•
DOI:
- 10.1016/0550-3213(74)90088-1

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