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Related papers: Chiral condensates and QCD vacuum in two dimension…

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We calculate the chiral condensate of QCD at infinite coupling as a function of the number of fundamental fermion flavours using a lattice diagrammatic approach inspired by recent work of Tomboulis, and other work from the 80's. We outline…

High Energy Physics - Lattice · Physics 2015-02-18 Alexander S. Christensen , Joyce C. Myers , Peter D. Pedersen , Jan Rosseel

We review recent developments in our understanding of the dynamics of strongly-coupled chiral $SU(N)$ gauge theories in four dimensions, problems which are potentially important in our quest to go beyond the standard $SU(3)_{QCD} \times…

High Energy Physics - Theory · Physics 2024-03-26 Kenichi Konishi , Stefano Bolognesi , Andrea Luzio

N flavor QED in two dimensions is reduced to a quantum mechanics problem with N degrees of freedom for which the potential is determined by the ground state of the problem itself. The chiral condensate is determined at all values of…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Hosotani

We define pure gauge $QCD$ on an infinite strip of width $L$. Techniques similar to those used in finite $TQCD$ allow us to relate $3D$-observables to pure $QCD_2$ behaviors. The non triviality of the $L \arrow 0$ limit is proven and the…

High Energy Physics - Theory · Physics 2009-10-28 A. Ferrando , A. Jaramillo

We study QCD-like four dimensional theories in the theoretically controlled framework of deformation theory and/or twisted partition function on S*1 x R*3. By using duality, we show that a class of one-flavor theories exhibit new physical…

High Energy Physics - Theory · Physics 2010-02-23 Erich Poppitz , Mithat Unsal

2-color QCD at finite temperature T and chemical potential \mu is revisited in the strong coupling limit on the lattice. The phase structure in the space of T, \mu and the quark mass m is elucidated with the use of the mean field…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yusuke Nishida

We consider the formation of chiral density waves in Quarkyonic matter, which is a phase where cold, dense quarks experience confining forces. We model confinement following Gribov and Zwanziger, taking the gluon propagator, in Coulomb…

High Energy Physics - Phenomenology · Physics 2014-11-20 Toru Kojo , Yoshimasa Hidaka , Larry McLerran , Robert D. Pisarski

Gauge theories with compact symmetry groups possess topologically non-trivial configurations of gauge field. This has dramatic implications for the vacuum structure of Quantum Chromo-Dynamics (QCD) and for the behavior of QCD plasma, as…

High Energy Physics - Phenomenology · Physics 2015-01-08 Dmitri E. Kharzeev

We use a variational procedure to study finite density QCD in an approximation in which the interaction between quarks is modelled by that induced by instantons. We find that uniform states with conventional chiral symmetry breaking have…

High Energy Physics - Phenomenology · Physics 2008-11-26 Krishna Rajagopal

Using the recently proposed generalization to an arbitrary number of colors of the strong coupling approach to lattice gauge theories\cite{Grignani:2003uv}, we compute the chiral condensate of massless QCD in the 't Hooft limit.

High Energy Physics - Lattice · Physics 2009-11-10 Gianluca Grignani , Donatella Marmottini , Pasquale Sodano

We present a quantitative analysis of chiral symmetry breaking in two-flavour continuum QCD in the quenched limit. The theory is set-up at perturbative momenta, where asymptotic freedom leads to precise results. The evolution of QCD towards…

High Energy Physics - Phenomenology · Physics 2015-04-01 Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

The response of the QCD vacuum to quark chemical potentials on the order of the pion mass is studied within the context of chiral perturbation theory. For two colour QCD diquark condensation sets in when the baryon chemical potential…

High Energy Physics - Lattice · Physics 2007-05-23 K. Splittorff

Finite-volume modifications of the two-flavor chiral phase diagram are investigated within an effective quark-meson model in various mean-field approximations. The role of vacuum fluctuations and boundary conditions, their influence on…

High Energy Physics - Phenomenology · Physics 2016-11-14 Ana Juričić , Bernd-Jochen Schaefer

Two aspects of the QCD phase diagrams are studied in the limit of a large number of colors: at zero temperature and nonzero density the (non)existence of nuclear matter, and at zero density and nonzero temperature the chiral phase…

High Energy Physics - Phenomenology · Physics 2011-06-06 Francesco Giacosa

We develop a lattice diagrammatic technique for calculating the chiral condensate of QCD at infinite coupling inspired by recent work of Tomboulis and earlier work from the 80's. The technique involves calculating the contribution of gauge…

High Energy Physics - Lattice · Physics 2014-10-03 Alexander S. Christensen , Joyce C. Myers , Peter D. Pedersen , Jan Rosseel

We consider lattice gauge theories at strong coupling with gauge group $U(N_C)$, or $SU(N_C)$ restricted to the meson sector, and coupled to $N_F$ flavors of fundamental representation staggered fermions. We study the formation of a chiral…

High Energy Physics - Lattice · Physics 2015-06-12 E. T. Tomboulis

We discuss the phases of QCD in the parameter space spanned by the number of light flavours and the temperature with respect to the realisation of chiral and conformal symmetries. The intriguing interplay of these symmetries is best studied…

High Energy Physics - Lattice · Physics 2015-06-22 M. P. Lombardo , K. Miura , T. J. Nunes da Silva , E. Pallante

Vacuum expectation values of products of local bilinears $\bar\psi\psi$ are computed in massless $QED_2$ at finite density. It is shown that chiral condensates exhibit an oscillatory inhomogeneous behaviour depending on the chemical…

High Energy Physics - Theory · Physics 2009-10-30 H. R. Christiansen , F. A. Schaposnik

A scaling analysis is made of the order parameter describing monopole condensation at the deconfining transition of N_f=2 QCD around the chiral point. In accordance with scaling properties of the specific heat, studied in a previous paper,…

High Energy Physics - Lattice · Physics 2008-11-26 M. D'Elia , A. Di Giacomo , B. Lucini , G. Paffuti , C. Pica

The vacuum of quantum chromodynamics has an incredibly rich structure at the nonperturbative level, which is intimately connected with the topology of gauge fields, and put to a test by the strong CP problem. We investigate the…

High Energy Physics - Phenomenology · Physics 2023-01-05 Y. Nakamura , G. Schierholz