Built on

A. A. Belavin, A. M. Polyakov, A. S. Schwartz and Y. S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations , Physics Letters B 59
1975
Earlier work this paper cites.
M. F. Atiyah, N. J. Hitchin, V. G. Drinfeld and Yu. I. Manin, Construction of Instantons , Phys. Lett. A65
1978
Earlier work this paper cites.
G. Baym, Confinement of quarks in nuclear matter , Physica A96
1979
Earlier work this paper cites.
E. Corrigan, P. Goddard, H. Osborn and S. Templeton, Zeta Function Regularization and Multi - Instanton Determinants , Nucl. Phys. B159
1979
Earlier work this paper cites.
H. Osborn, Calculation of multi-instanton determinants , Nuclear Physics B 159
1979
Earlier work this paper cites.
T. Celik, F. Karsch and H. Satz, A Percolation Approach To Strongly Interacting Matter , Phys. Lett. 97B
1980
Earlier work this paper cites.
E. Corrigan and P. Goddard, Construction of Instanton and Monopole Solutions and Reciprocity , Annals Phys. 154
1984
Earlier work this paper cites.
N. Ishii, W. Bentz and K. Yazaki, Baryons in the NJL model as solutions of the relativistic Faddeev equation , Nucl. Phys. A587
1995
Earlier work this paper cites.
J. P. Blaizot, J. F. Berger, J. Decharge and M. Girod, Microscopic and macroscopic determinations of nuclear compressibility , Nucl.Phys. A591
1995
Earlier work this paper cites.
R. Alkofer, H. Reinhardt and H. Weigel, Baryons as chiral solitons in the Nambu-Jona-Lasinio model , Phys.Rept. 265
1996
Earlier work this paper cites.
C. Christov, A. Blotz, H.-C. Kim, P. Pobylitsa, T. Watabe, T. Meissner et al., Baryons as nontopological chiral solitons , Prog. Part. Nucl. Phys. 37
1996
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from non-critical string theory , Phys. Lett. B428
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
M. G. Alford, K. Rajagopal and F. Wilczek, Color flavor locking and chiral symmetry breaking in high density QCD , Nucl.Phys. B537
1999
Earlier work this paper cites.
T. Schäfer and F. Wilczek, Continuity of quark and hadron matter , Phys.Rev.Lett. 82
1999
Earlier work this paper cites.
M. G. Alford, J. Berges and K. Rajagopal, Unlocking color and flavor in superconducting strange quark matter , Nucl. Phys. B558
1999
Earlier work this paper cites.
D. H. Youngblood, Y. W. Lui, H. L. Clark, B. John, Y. Tokimoto et al., Isoscalar E0 - E3 strength in Sn-116, Sm-144, Sm-154, and Pb-208 , Phys.Rev. C69
2004
Earlier work this paper cites.
M. Buballa, NJL model analysis of quark matter at large density , Phys.Rept. 407
2005
Earlier work this paper cites.
S. B. Ruester, V. Werth, M. Buballa, I. A. Shovkovy and D. H. Rischke, The Phase diagram of neutral quark matter: Self-consistent treatment of quark masses , Phys.Rev. D72
2005
Earlier work this paper cites.
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD , Prog.Theor.Phys. 113
2005
Earlier work this paper cites.
T. Sakai and S. Sugimoto, More on a holographic dual of QCD , Prog.Theor.Phys. 114
2005
Earlier work this paper cites.
T. Hatsuda, M. Tachibana, N. Yamamoto and G. Baym, New critical point induced by the axial anomaly in dense QCD , Phys.Rev.Lett. 97
2006
Earlier work this paper cites.
B.-J. Schaefer, J. M. Pawlowski and J. Wambach, The Phase Structure of the Polyakov–Quark-Meson Model , Phys.Rev. D76
Original
2007
Earlier work this paper cites.
K. Peeters and M. Zamaklar, The String/gauge theory correspondence in QCD , Eur.Phys.J.ST 152
Original
2007
Earlier work this paper cites.
J. L. Davis, M. Gutperle, P. Kraus and I. Sachs, Stringy NJL and Gross-Neveu models at finite density and temperature , JHEP 0710
Original
2007
Earlier work this paper cites.
H. Hata, T. Sakai, S. Sugimoto and S. Yamato, Baryons from instantons in holographic QCD , Prog.Theor.Phys. 117
2007
Earlier work this paper cites.
O. Bergman, S. Seki and J. Sonnenschein, Quark mass and condensate in HQCD , JHEP 0712
Original
2007
Earlier work this paper cites.

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2018

Towards a holographic quark-hadron continuity

Fadafan, Kazem Bitaghsir, Kazemian, Farideh, Schmitt, Andreas

Understand

We study dense nuclear and quark matter within a single microscopic approach, namely the holographic Sakai-Sugimoto model.

Nuclear matter is described via instantons in the bulk, and we show that instanton interactions are crucial for a continuous connection of chirally broken and chirally symmetric phases.
The continuous path from nuclear to quark matter includes metastable and unstable stationary points of the potential, while the actual chiral phase transition remains of first order, as in earlier approximations.
We show that the model parameters can be chosen to reproduce low-density properties of nuclear matter and observe a non-monotonic behavior of the speed of sound as a function of the baryon chemical potential, as suggested by constraints from QCD and astrophysics.

Built on

A. A. Belavin, A. M. Polyakov, A. S. Schwartz and Y. S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations , Physics Letters B 59
1975
Earlier work this paper cites.
M. F. Atiyah, N. J. Hitchin, V. G. Drinfeld and Yu. I. Manin, Construction of Instantons , Phys. Lett. A65
1978
Earlier work this paper cites.
G. Baym, Confinement of quarks in nuclear matter , Physica A96
1979
Earlier work this paper cites.
E. Corrigan, P. Goddard, H. Osborn and S. Templeton, Zeta Function Regularization and Multi - Instanton Determinants , Nucl. Phys. B159
1979
Earlier work this paper cites.
H. Osborn, Calculation of multi-instanton determinants , Nuclear Physics B 159
1979
Earlier work this paper cites.
T. Celik, F. Karsch and H. Satz, A Percolation Approach To Strongly Interacting Matter , Phys. Lett. 97B
1980
Earlier work this paper cites.
E. Corrigan and P. Goddard, Construction of Instanton and Monopole Solutions and Reciprocity , Annals Phys. 154
1984
Earlier work this paper cites.
N. Ishii, W. Bentz and K. Yazaki, Baryons in the NJL model as solutions of the relativistic Faddeev equation , Nucl. Phys. A587
1995
Earlier work this paper cites.
J. P. Blaizot, J. F. Berger, J. Decharge and M. Girod, Microscopic and macroscopic determinations of nuclear compressibility , Nucl.Phys. A591
1995
Earlier work this paper cites.
R. Alkofer, H. Reinhardt and H. Weigel, Baryons as chiral solitons in the Nambu-Jona-Lasinio model , Phys.Rept. 265
1996
Earlier work this paper cites.
C. Christov, A. Blotz, H.-C. Kim, P. Pobylitsa, T. Watabe, T. Meissner et al., Baryons as nontopological chiral solitons , Prog. Part. Nucl. Phys. 37
1996
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from non-critical string theory , Phys. Lett. B428
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
M. G. Alford, K. Rajagopal and F. Wilczek, Color flavor locking and chiral symmetry breaking in high density QCD , Nucl.Phys. B537
1999
Earlier work this paper cites.
T. Schäfer and F. Wilczek, Continuity of quark and hadron matter , Phys.Rev.Lett. 82
1999
Earlier work this paper cites.
M. G. Alford, J. Berges and K. Rajagopal, Unlocking color and flavor in superconducting strange quark matter , Nucl. Phys. B558
1999
Earlier work this paper cites.
D. H. Youngblood, Y. W. Lui, H. L. Clark, B. John, Y. Tokimoto et al., Isoscalar E0 - E3 strength in Sn-116, Sm-144, Sm-154, and Pb-208 , Phys.Rev. C69
2004
Earlier work this paper cites.
M. Buballa, NJL model analysis of quark matter at large density , Phys.Rept. 407
2005
Earlier work this paper cites.
S. B. Ruester, V. Werth, M. Buballa, I. A. Shovkovy and D. H. Rischke, The Phase diagram of neutral quark matter: Self-consistent treatment of quark masses , Phys.Rev. D72
2005
Earlier work this paper cites.
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD , Prog.Theor.Phys. 113
2005
Earlier work this paper cites.
T. Sakai and S. Sugimoto, More on a holographic dual of QCD , Prog.Theor.Phys. 114
2005
Earlier work this paper cites.
T. Hatsuda, M. Tachibana, N. Yamamoto and G. Baym, New critical point induced by the axial anomaly in dense QCD , Phys.Rev.Lett. 97
2006
Earlier work this paper cites.
B.-J. Schaefer, J. M. Pawlowski and J. Wambach, The Phase Structure of the Polyakov–Quark-Meson Model , Phys.Rev. D76
Original
2007
Earlier work this paper cites.
K. Peeters and M. Zamaklar, The String/gauge theory correspondence in QCD , Eur.Phys.J.ST 152
Original
2007
Earlier work this paper cites.
J. L. Davis, M. Gutperle, P. Kraus and I. Sachs, Stringy NJL and Gross-Neveu models at finite density and temperature , JHEP 0710
Original
2007
Earlier work this paper cites.
H. Hata, T. Sakai, S. Sugimoto and S. Yamato, Baryons from instantons in holographic QCD , Prog.Theor.Phys. 117
2007
Earlier work this paper cites.
O. Bergman, S. Seki and J. Sonnenschein, Quark mass and condensate in HQCD , JHEP 0712
Original
2007
Earlier work this paper cites.