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One of the most profound aspects of the standard model of particle physics, the mechanism of confinement binding quarks into hadrons, is not sufficiently understood. The only known semiclassical mechanism of confinement, mediated by…

High Energy Physics - Theory · Physics 2018-11-08 M. Cristina Diamantini , Carlo A. Trugenberger , Valeri M. Vinokur

If non-Abelian gauge fields in $SU(3)$ QCD have a line-singularity leading to non-commutativity with respect to successive partial-derivative operations, the non-Abelian Bianchi identity is violated. The violation as an operator is shown to…

High Energy Physics - Lattice · Physics 2022-08-17 Katsuya Ishiguro , Atsuki Hiraguchi , Tsuneo Suzuki

In the limit of an infinite number of colors, an analytic expression for the quark condensate in $QCD_{1+1}$ is derived as a function of the quark mass and the gauge coupling constant. For zero quark mass, a nonvanishing quark condensate is…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Burkardt

We study the phase structure of bifundamental quantum chromodynamics (QCD(BF)), which is the $4$-dimensional $SU(N) \times SU(N)$ gauge theory coupled with the bifundamental fermion. Firstly, we refine constraints on its phase diagram from…

High Energy Physics - Theory · Physics 2024-04-26 Yui Hayashi , Yuya Tanizaki , Hiromasa Watanabe

The valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a relativistic equation of motion with an effective confining potential $U$ which systematically incorporates the effects of higher quark and gluon Fock states.…

High Energy Physics - Phenomenology · Physics 2015-06-23 Stanley J. Brodsky , Guy F. de Téramond , Alexandre Deur , Hans Günter Dosch

We study SU(2) lattice gauge theory with two flavors of Wilson fermion at non-zero chemical potential mu and low temperature on a 8^3x16 system. We identify three regimes along the mu-axis. For mu<~m_pi/2 the system remains in the vacuum…

High Energy Physics - Lattice · Physics 2009-01-07 Simon Hands , Seyong Kim , Jon-Ivar Skullerud

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

High Energy Physics - Phenomenology · Physics 2009-10-31 Krishna Rajagopal

I review the growing theoretical indications that at high densities color SU(3) gauge symmetry is spontaneously broken by the formation of a quark pair condensate. This leads to a rich phase structure for QCD as a function of temperature…

High Energy Physics - Lattice · Physics 2009-10-31 M. Alford

The dynamical scenario is considered for N=1 SQCD, with N_c colors and N_c<N_F<3N_c flavors with small but nonzero current quark masses m_Q\neq 0, in which quarks form the diquark-condensate phase. This means that colorless chiral quark…

High Energy Physics - Theory · Physics 2010-05-12 Victor L. Chernyak

Flux tube solutions within non-Abelian SU(3) Proca theory with external sources are obtained. It is shown that such tubes have a longitudinal chromoelectric field possessing two components (nonlinear and gradient), as well as a transverse…

High Energy Physics - Theory · Physics 2024-04-23 Vladimir Dzhunushaliev , Vladimir Folomeev

We investigate the phase structure of the (3+1)-dimensional strong coupling two-color QCD at zero temperature ($T=0$) with finite chemical potential using the tensor renormalization group method. The chiral and diquark condensates and the…

High Energy Physics - Lattice · Physics 2026-02-13 Yuto Sugimoto , Shinichiro Akiyama , Yoshinobu Kuramashi

The vacuum effective potential of three-dimensional SU(2) lattice gauge theory in an applied color-magnetic field is computed over a wide range of field strengths. The background field is induced by an external current, as in continuum…

High Energy Physics - Lattice · Physics 2009-10-22 Howard D. Trottier , R. M. Woloshyn

Colorelectric and Colormagnetic structure of the flux tubes, connecting heavy quark and antiquark, is investigated in the framework of the Field Correlator method which describes all resulting fields in terms of correlators $D^E$ and…

High Energy Physics - Phenomenology · Physics 2017-11-08 M. S. Lukashov , Yu. A. Simonov

Using the overlap-Dirac eigenmodes, we study the spatial distribution of the chiral condensate around static color sources in lattice QCD. Between the color sources, there appears a color-flux tube, which leads a linear confining potential.…

High Energy Physics - Lattice · Physics 2014-01-20 Takumi Iritani , Guido Cossu , Shoji Hashimoto

In this paper we carry out a low-temperature scan of the phase diagram of dense two-color QCD with $N_f=2$ quarks. The study is conducted using lattice simulation with rooted staggered quarks. At small chemical potential we observe the…

High Energy Physics - Lattice · Physics 2016-12-19 V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. V. Molochkov , A. A. Nikolaev

We report on the results of measuring the chromoelectric fields in a flux tube created by a static quark-antiquark pair in the finite-temperature SU(3) gauge theory. Below the deconfinement temperature the field behavior is similar to the…

High Energy Physics - Lattice · Physics 2023-10-09 M. Baker , V. Chelnokov , L. Cosmai , F. Cuteri , A. Papa

The vacuum of QCD is characterized by the Higgs mechanism. Color is ``spontaneously broken'' by a quark-antiquark condensate in the octet representation. The massive gluons carry integer electric charges and are identified with the vector…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Wetterich

In this note, a novel BCS-type formalism is constructed in the framework of a schematic QCD inspired quark model, having in mind the description of color symmetrical superconducting states. The physical properties of the BCS vacuum (average…

Nuclear Theory · Physics 2014-11-20 Henrik Bohr , João da Providência

We study the possibility that the current accelerated expansion of the universe is driven by the vacuum energy density of a colored scalar field which is responsible for a phase transition in which the gauge SU(3)_c symmetry breaks. We show…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dejan Stojkovic , Glenn D. Starkman , Reijiro Matsuo

It is usual to study confinement via quantum chromodynamics (QCD) alone. The deconfinement transition of the pure gauge theory (i.e. with static quarks) is then characterized by the breaking of center symmetry. Center vortices offer an…

High Energy Physics - Lattice · Physics 2015-03-17 Sam R. Edwards , André Sternbeck , Lorenz von Smekal