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The occurrence of spontaneous chiral symmetry breaking (SChSB) is equivalent to sufficient abundance of Dirac near-zeromodes. However, dynamical mechanism leading to breakdown of chiral symmetry should be naturally reflected in chiral…

High Energy Physics - Lattice · Physics 2013-05-09 Andrei Alexandru , Ivan Horvath

The spontaneous symmetry breaking of a local chiral symmetry to its diagonal vector symmetry naturally realizes a complete geometrical structure more general than that of Yang-Mills (YM) theory, rather similar to that of gravity. A good…

High Energy Physics - Phenomenology · Physics 2007-05-23 HoSeong La

We use a Landau theory and the epsilon expansion to study the superfluid phase transition of two-color QCD at nonzero temperature, T, and baryonic chemical potential, mu. At low T, and for N_f flavors of massless quarks, the global SU(N_f)…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Wirstam , J. T. Lenaghan , K. Splittorff

We study the chiral symmetry in two-color QCD with N massless flavors at finite temperature, using an effective theory. For the gauge group SU(2), the chiral symmetry is enlarged to SU(2N), which is then spontaneously broken to Sp(2N) at…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Wirstam

We review the application of random matrix theory (RMT) to chiral symmetry in QCD. Starting from the general philosophy of RMT we introduce a chiral random matrix model with the global symmetries of QCD. Exact results are obtained for…

High Energy Physics - Lattice · Physics 2016-09-01 J. J. M. Verbaarschot

It is shown that in vector-like gauge theories, such as QCD, and in the limit of a large number of colours Nc, the ordering pattern of narrow vector and axial-vector states at low energies is correlated with the size of the possible local…

High Energy Physics - Phenomenology · Physics 2010-04-06 M. Knecht , E. de Rafael

We explore the phase diagram of strongly interacting matter as a function of temperature and baryon number density, using a class of models for two-flavor QCD in which the interaction between quarks is modelled by that induced by…

High Energy Physics - Phenomenology · Physics 2010-02-04 J. Berges , K. Rajagopal

We study the stability of the highest symmetric solution (Wigner-solution) of Dyson-Schwinger equations in chiral limit and at zero temperature. Our results confirm that if the chemical potential is not very large, the QCD vacuum is in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wei Yuan , Huan Chen , Yu-xin Liu

A supersymmetric composite model of color superconductivity is proposed. Quarks and diquarks are dynamically generated as composite fields by a newly introduced strong gauge dynamics. It is shown that the condensation of the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nobuhito Maru , Motoi Tachibana

By the use of an effective superpotential in supersymmetric quantum chromodynamics (SQCD) with N_f flavors and N_c colors of quarks for N_f>=N_c+2, the influence of soft supersymmetry (SUSY) breakings is examined to clarify dynamics of…

High Energy Physics - Theory · Physics 2009-10-31 Yasuharu Honda , Masaki Yasue

In this paper the massless NJL model extended by the diquark interaction channel is considered. We study its phase structure at zero temperature and in the presence of baryon $\mu_B$, isospin $\mu_I$, chiral $\mu_{5}$ and chiral isospin…

High Energy Physics - Phenomenology · Physics 2023-10-13 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

It is demonstrated how in the absence of solutions for QCD under conditions deep inside compact stars an equation of state can be obtained within a model that is built on the basic symmetries of the QCD Lagrangian, in particular chiral…

High Energy Astrophysical Phenomena · Physics 2014-10-07 David Blaschke

It was recently conjectured that, in SU(3) gauge theories with fundamental quarks, valence spontaneous chiral symmetry breaking is equivalent to condensation of local dynamical chirality and appearance of chiral polarization scale…

High Energy Physics - Lattice · Physics 2015-06-19 Andrei Alexandru , Ivan Horváth

We investigate the vacuum realignment for chiral symmetry breaking and color superconductivity at finite density in Nambu-Jona-Lasinio model in a variational method. The treatment allows us to investigate simultaneous formation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Amruta Mishra , Hiranmaya Mishra

With proper profiles of the scalar potential and the dilaton field, for the first time, the spontaneous chiral symmetry breaking in the vacuum and its restoration at finite temperature are correctly realized in the holographic QCD…

High Energy Physics - Phenomenology · Physics 2016-05-11 Kaddour Chelabi , Zhen Fang , Mei Huang , Danning Li , Yue-Liang Wu

We explore a possible phase where chiral $SU(2)_L \times SU(2)_R$ symmetry is spontaneously broken while its center $Z_2$ symmetry remains unbroken and its consequence on thermal quantities. In this phase, chiral symmetry breaking is driven…

High Energy Physics - Phenomenology · Physics 2010-02-04 M. Harada , C. Sasaki , S. Takemoto

We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential $\mu$ and a diquark source…

High Energy Physics - Lattice · Physics 2020-02-19 Kei Iida , Etsuko Itou , Tong-Gyu Lee

The Random Matrix Model approach to Quantum Chromodynamics (QCD) with non-vanishing chemical potential is reviewed. The general concept using global symmetries is introduced, as well as its relation to field theory, the so-called epsilon…

High Energy Physics - Theory · Physics 2008-11-26 G. Akemann

While chiral symmetry breaking in the QCD vacuum is attributed to nonzero chiral condensate, an alternative symmetry breaking pattern with no chiral condensate is also possible, as pointed out by Stern. This hypothetical phase was excluded…

High Energy Physics - Phenomenology · Physics 2015-10-06 Takuya Kanazawa

We propose a symmetry breaking scheme for QCD with three massless quarks at high baryon density wherein the color and flavor SU(3)_color times SU(3)_L times SU(3)_R symmetries are broken down to the diagonal subgroup SU(3)_{color+L+R} by…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Alford , K. Rajagopal , F. Wilczek