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The phase diagram of QCD at finite temperature and density is discussed. Large numbers of quark colors, $N_{\rm c} >> 1$, is used to explain generic features of the phase diagram. For temperatures below $ T \le 160$~MeV at zero baryon…

High Energy Physics - Phenomenology · Physics 2026-04-07 Larry McLerran

We discuss theoretical issues pertaining to baryonic matter in the combined heavy-quark and large $N_c$ limits of QCD. Witten's classic argument that baryons and interacting systems of baryons can be described in a mean-field approximation…

Nuclear Theory · Physics 2013-11-05 Prabal Adhikari , Thomas D. Cohen

A quasi-particle model is presented which describes QCD lattice results for the 0, 2 and 4 quark-flavor equation of state. The results are mapped to finite baryo-chemical potentials. As an application of the model we make a prediction of…

Nuclear Theory · Physics 2008-11-26 B. Kämpfer , A. Peshier , G. Soff

QCD exhibits complex dynamics near S-wave two-body thresholds. For light mesons, we see this in the failure of quark models to explain the $f_0(500)$ and $K_0^*(700)$ masses. For charmonium, an unexpected $X(3872)$ state appears at the open…

High Energy Physics - Lattice · Physics 2020-01-29 Estia Eichten , Ciaran Hughes

We review recent progress toward understanding of sQGP. The phenomenological part includes discussion of elliptic and conical flows at RHIC. Then we proceed to first quantum mechanical studies of manybody states at $T>Tc$, the ``polymeric…

High Energy Physics - Phenomenology · Physics 2009-11-11 Edward Shuryak

We briefly review an effective theory of QCD at high baryon density, describing the relevant modes near the Fermi surface. The high density effective theory has properties of reparametrization invariance and gauge invariance, maintained in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Deog Ki Hong

This lecture concerns the properties of strongly interacting matter (which is described by Quantum Chromodynamics) at very high energy density. I review the properties of matter at high temperature, discussing the deconfinement phase…

High Energy Physics - Phenomenology · Physics 2011-01-04 Larry McLerran

We study generic properties of strongly interacting matter at finite density as relevant to heavy-ion collisions at moderate beam energies or the physics of neutron stars and their mergers. Because of the fermion-sign problem in lattice…

High Energy Physics - Lattice · Physics 2017-02-02 Björn H. Wellegehausen , Lorenz von Smekal

Substantial experimental and theoretical efforts worldwide are devoted to explore the phase diagram of strongly interacting matter. At LHC and top RHIC energies, QCD matter is studied at very high temperatures and nearly vanishing…

Nuclear Experiment · Physics 2017-03-30 CBM Collaboration , T. Ablyazimov , A. Abuhoza , R. P. Adak , M. Adamczyk , K. Agarwal , M. M. Aggarwal , Z. Ahammed , F. Ahmad , N. Ahmad , S. Ahmad , A. Akindinov , P. Akishin , E. Akishina , T. Akishina , V. Akishina , A. Akram , M. Al-Turany , I. Alekseev , E. Alexandrov , I. Alexandrov , S. Amar-Youcef , M. Anđelić , O. Andreeva , C. Andrei , A. Andronic , Yu. Anisimov , H. Appelshäuser , D. Argintaru , E. Atkin , S. Avdeev , R. Averbeck , M. D. Azmi , V. Baban , M. Bach , E. Badura , S. Bähr , T. Balog , M. Balzer , E. Bao , N. Baranova , T. Barczyk , D. Bartoş , S. Bashir , M. Baszczyk , O. Batenkov , V. Baublis , M. Baznat , J. Becker , K. -H. Becker , S. Belogurov , D. Belyakov , J. Bendarouach , I. Berceanu , A. Bercuci , A. Berdnikov , Y. Berdnikov , R. Berendes , G. Berezin , C. Bergmann , D. Bertini , O. Bertini , C. Beşliu , O. Bezshyyko , P. P. Bhaduri , A. Bhasin , A. K. Bhati , B. Bhattacharjee , A. Bhattacharyya , T. K. Bhattacharyya , S. Biswas , T. Blank , D. Blau , V. Blinov , C. Blume , Yu. Bocharov , J. Book , T. Breitner , U. Brüning , J. Brzychczyk , A. Bubak , H. Büsching , T. Bus , V. Butuzov , A. Bychkov , A. Byszuk , Xu Cai , M. Cálin , Ping Cao , G. Caragheorgheopol , I. Carević , V. Cătănescu , A. Chakrabarti , S. Chattopadhyay , A. Chaus , Hongfang Chen , LuYao Chen , Jianping Cheng , V. Chepurnov , H. Cherif , A. Chernogorov , M. I. Ciobanu , G. Claus , F. Constantin , M. Csanád , N. D'Ascenzo , Supriya Das , Susovan Das , J. de Cuveland , B. Debnath , D. Dementiev , Wendi Deng , Zhi Deng , H. Deppe , I. Deppner , O. Derenovskaya , C. A. Deveaux , M. Deveaux , K. Dey , M. Dey , P. Dillenseger , V. Dobyrn , D. Doering , Sheng Dong , A. Dorokhov , M. Dreschmann , A. Drozd , A. K. Dubey , S. Dubnichka , Z. Dubnichkova , M. Dürr , L. Dutka , M. Dželalija , V. V. Elsha , D. Emschermann , H. Engel , V. Eremin , T. Eşanu , J. Eschke , D. Eschweiler , Huanhuan Fan , Xingming Fan , M. Farooq , O. Fateev , Shengqin Feng , S. P. D. Figuli , I. Filozova , D. Finogeev , P. Fischer , H. Flemming , J. Förtsch , U. Frankenfeld , V. Friese , E. Friske , I. Fröhlich , J. Frühauf , J. Gajda , T. Galatyuk , G. Gangopadhyay , C. García Chávez , J. Gebelein , P. Ghosh , S. K. Ghosh , S. Gläßel , M. Goffe , L. Golinka-Bezshyyko , V. Golovatyuk , S. Golovnya , V. Golovtsov , M. Golubeva , D. Golubkov , A. Gómez Ramírez , S. Gorbunov , S. Gorokhov , D. Gottschalk , P. Gryboś , A. Grzeszczuk , F. Guber , K. Gudima , M. Gumiński , A. Gupta , Yu. Gusakov , Dong Han , H. Hartmann , Shue He , J. Hehner , N. Heine , A. Herghelegiu , N. Herrmann , B. Heß , J. M. Heuser , A. Himmi , C. Höhne , R. Holzmann , Dongdong Hu , Guangming Huang , Xinjie Huang , D. Hutter , A. Ierusalimov , E. -M. Ilgenfritz , M. Irfan , D. Ivanischev , M. Ivanov , P. Ivanov , Valery Ivanov , Victor Ivanov , Vladimir Ivanov , A. Ivashkin , K. Jaaskelainen , H. Jahan , V. Jain , V. Jakovlev , T. Janson , Di Jiang , A. Jipa , I. Kadenko , P. Kähler , B. Kämpfer , V. Kalinin , J. Kallunkathariyil , K. -H. Kampert , E. Kaptur , R. Karabowicz , O. Karavichev , T. Karavicheva , D. Karmanov , V. Karnaukhov , E. Karpechev , K. Kasiński , G. Kasprowicz , M. Kaur , A. Kazantsev , U. Kebschull , G. Kekelidze , M. M. Khan , S. A. Khan , A. Khanzadeev , F. Khasanov , A. Khvorostukhin , V. Kirakosyan , M. Kirejczyk , A. Kiryakov , M. Kiš , I. Kisel , P. Kisel , S. Kiselev , T. Kiss , P. Klaus , R. Kłeczek , Ch. Klein-Bösing , V. Kleipa , V. Klochkov , P. Kmon , K. Koch , L. Kochenda , P. Koczoń , W. Koenig , M. Kohn , B. W. Kolb , A. Kolosova , B. Komkov , M. Korolev , I. Korolko , R. Kotte , A. Kovalchuk , S. Kowalski , M. Koziel , G. Kozlov , V. Kozlov , V. Kramarenko , P. Kravtsov , E. Krebs , C. Kreidl , I. Kres , D. Kresan , G. Kretschmar , M. Krieger , A. V. Kryanev , E. Kryshen , M. Kuc , W. Kucewicz , V. Kucher , L. Kudin , A. Kugler , Ajit Kumar , Ashwini Kumar , L. Kumar , J. Kunkel , A. Kurepin , N. Kurepin , A. Kurilkin , P. Kurilkin , V. Kushpil , S. Kuznetsov , V. Kyva , V. Ladygin , C. Lara , P. Larionov , A. Laso García , E. Lavrik , I. Lazanu , A. Lebedev , S. Lebedev , E. Lebedeva , J. Lehnert , J. Lehrbach , Y. Leifels , F. Lemke , Cheng Li , Qiyan Li , Xin Li , Yuanjing Li , V. Lindenstruth , B. Linnik , Feng Liu , I. Lobanov , E. Lobanova , S. Löchner , P. -A. Loizeau , S. A. Lone , J. A. Lucio Martínez , Xiaofeng Luo , A. Lymanets , Pengfei Lyu , A. Maevskaya , S. Mahajan , D. P. Mahapatra , T. Mahmoud , P. Maj , Z. Majka , A. Malakhov , E. Malankin , D. Malkevich , O. Malyatina , H. Malygina , M. M. Mandal , S. Mandal , V. Manko , S. Manz , A. M. Marin Garcia , J. Markert , S. Masciocchi , T. Matulewicz , L. Meder , M. Merkin , V. Mialkovski , J. Michel , N. Miftakhov , L. Mik , K. Mikhailov , V. Mikhaylov , B. Milanović , V. Militsija , D. Miskowiec , I. Momot , T. Morhardt , S. Morozov , W. F. J. Müller , C. Müntz , S. Mukherjee , C. E. Muńoz Castillo , Yu. Murin , R. Najman , C. Nandi , E. Nandy , L. Naumann , T. Nayak , A. Nedosekin , V. S. Negi , W. Niebur , V. Nikulin , D. Normanov , A. Oancea , Kunsu Oh , Yu. Onishchuk , G. Ososkov , P. Otfinowski , E. Ovcharenko , S. Pal , I. Panasenko , N. R. Panda , S. Parzhitskiy , V. Patel , C. Pauly , M. Penschuck , D. Peshekhonov , V. Peshekhonov , V. Petráček , M. Petri , M. Petriş , A. Petrovici , M. Petrovici , A. Petrovskiy , O. Petukhov , D. Pfeifer , K. Piasecki , J. Pieper , J. Pietraszko , R. Płaneta , V. Plotnikov , V. Plujko , J. Pluta , A. Pop , V. Pospisil , K. Poźniak , A. Prakash , S. K. Prasad , M. Prokudin , I. Pshenichnov , M. Pugach , V. Pugatch , S. Querchfeld , S. Rabtsun , L. Radulescu , S. Raha , F. Rami , R. Raniwala , S. Raniwala , A. Raportirenko , J. Rautenberg , J. Rauza , R. Ray , S. Razin , P. Reichelt , S. Reinecke , A. Reinefeld , A. Reshetin , C. Ristea , O. Ristea , A. Rodriguez Rodriguez , F. Roether , R. Romaniuk , A. Rost , E. Rostchin , I. Rostovtseva , Amitava Roy , Ankhi Roy , J. Rożynek , Yu. Ryabov , A. Sadovsky , R. Sahoo , P. K. Sahu , S. K. Sahu , J. Saini , S. Samanta , S. S. Sambyal , V. Samsonov , J. Sánchez Rosado , O. Sander , S. Sarangi , T. Satława , S. Sau , V. Saveliev , S. Schatral , C. Schiaua , F. Schintke , C. J. Schmidt , H. R. Schmidt , K. Schmidt , J. Scholten , K. Schweda , F. Seck , S. Seddiki , I. Selyuzhenkov , A. Semennikov , A. Senger , P. Senger , A. Shabanov , A. Shabunov , Ming Shao , A. D. Sheremetiev , Shusu Shi , N. Shumeiko , V. Shumikhin , I. Sibiryak , B. Sikora , A. Simakov , C. Simon , C. Simons , R. N. Singaraju , A. K. Singh , B. K. Singh , C. P. Singh , V. Singhal , M. Singla , P. Sitzmann , K. Siwek-Wilczyńska , L. Škoda , I. Skwira-Chalot , I. Som , Guofeng Song , Jihye Song , Z. Sosin , D. Soyk , P. Staszel , M. Strikhanov , S. Strohauer , J. Stroth , C. Sturm , R. Sultanov , Yongjie Sun , D. Svirida , O. Svoboda , A. Szabó , R. Szczygieł , R. Talukdar , Zebo Tang , M. Tanha , J. Tarasiuk , O. Tarassenkova , M. -G. Târzilă , M. Teklishyn , T. Tischler , P. Tlustý , T. Tölyhi , A. Toia , N. Topil'skaya , M. Träger , S. Tripathy , I. Tsakov , Yu. Tsyupa , A. Turowiecki , N. G. Tuturas , F. Uhlig , E. Usenko , I. Valin , D. Varga , I. Vassiliev , O. Vasylyev , E. Verbitskaya , W. Verhoeven , A. Veshikov , R. Visinka , Y. P. Viyogi , S. Volkov , A. Volochniuk , A. Vorobiev , Aleksey Voronin , Alexander Voronin , V. Vovchenko , M. Vznuzdaev , Dong Wang , Xi-Wei Wang , Yaping Wang , Yi Wang , M. Weber , C. Wendisch , J. P. Wessels , M. Wiebusch , J. Wiechula , D. Wielanek , A. Wieloch , A. Wilms , N. Winckler , M. Winter , K. Wiśniewski , Gy. Wolf , Sanguk Won , Ke-Jun Wu , J. Wüstenfeld , Changzhou Xiang , Nu Xu , Junfeng Yang , Rongxing Yang , Zhongbao Yin , In-Kwon Yoo , B. Yuldashev , I. Yushmanov , W. Zabołotny , Yu. Zaitsev , N. I. Zamiatin , Yu. Zanevsky , M. Zhalov , Yifei Zhang , Yu Zhang , Lei Zhao , Jiajun Zheng , Sheng Zheng , Daicui Zhou , Jing Zhou , Xianglei Zhu , A. Zinchenko , W. Zipper , M. Żoładź , P. Zrelov , V. Zryuev , P. Zumbruch , M. Zyzak

The properties of cold and dense quark matter have been the subject of extensive investigation, especially in the last decade. Unfortunately, we still lack of a complete understanding of the properties of matter in these conditions. One…

High Energy Physics - Phenomenology · Physics 2009-06-25 Massimo Mannarelli

We review the recent progress achieved in the theoretical investigation of Quantum Chromodynamics in the high temperature regime, with a focus on results achieved by lattice QCD simulations. The discussion covers the structure of the phase…

High Energy Physics - Lattice · Physics 2019-02-20 Massimo D'Elia

We investigate the phases of a strongly coupled QCD-like theory at finite baryon chemical potential using s-confining supersymmetric QCD deformed by anomaly-mediated supersymmetry breaking. Focusing on the case of three colors and four…

High Energy Physics - Phenomenology · Physics 2025-07-15 Yang Bai , Carlos Henrique de Lima , Daniel Stolarski

We review various theoretical approaches to the states of QCD matter out of quarks and gluons in extreme environments such as the high-temperature states at zero and finite baryon density and the dimensionally reduced state under an intense…

High Energy Physics - Phenomenology · Physics 2015-05-30 Kenji Fukushima

We study an effective theory of QCD at high density in detail, including the finite temperature effects and the leading order correction in $1/\mu$ expansion. We investigate the Cooper pair gap equation and find that the color-flavor…

High Energy Physics - Phenomenology · Physics 2009-10-31 Deog Ki Hong

We present a new perspective on thermal and quantum phase transitions (QPT) in $(2+1)$-dimensional quantum chromodynamics based on symmetries, topology, and quantum dynamical structure of the baryon ground state in the large $N_c$ limit for…

High Energy Physics - Theory · Physics 2019-04-25 Laith H. Haddad

This article reviews recent progress of QCD phase structure, including color superconductor at high baryon density and strongly interacting quark-gluon plasma (sQGP) at high temperature created through relativistic heavy ion collision. A…

High Energy Physics - Phenomenology · Physics 2010-01-20 Mei Huang

This lecture note presents a self-contained introduction to the theory of a heavy quark-antiquark ($Q\bar{Q}$) system in terms of perturbative QCD. The lecture is intended for non-experts, such as graduate course students. The heavy…

High Energy Physics - Phenomenology · Physics 2014-12-01 Y. Sumino

Using variational methods, we numerically investigate the matrix model for the two-color QCD coupled to a single quark (matrix-QCD$_{2,1}$) in the limit of ultra-strong Yang-Mills coupling ($g =\infty$). The spectrum of the model has…

High Energy Physics - Theory · Physics 2024-06-11 Nirmalendu Acharyya , Prasanjit Aich , Arkajyoti Bandyopadhyay , Sachindeo Vaidya

At high baryon number density, it has been proposed that a new phase of QCD matter controls the physics. This matter is confining but can have densities much larger than $\Lambda^3_{QCD}$ QCD. Its existence is argued from large Nc…

Nuclear Theory · Physics 2009-11-18 Larry McLerran

Strongly interacting matter exhibits new phases under extreme conditions. Matter was exposed to such extremes not only in the Early Universe, but also today in the cores of neutron stars, as well as in laboratory experiments at a much…

Nuclear Theory · Physics 2025-12-10 Szabolcs Borsanyi , Paolo Parotto