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We apply the probability distribution function method to the study of chiral properties of QCD with quarks in the exact massless limit. A relation among the chiral condensate, zeros of the Bessel function and eigenvalue of Dirac operator is…

High Energy Physics - Lattice · Physics 2009-10-02 Xiang-Qian Luo

We discuss the truncation of low energy effective action of QCD below the chiral symmetry breaking (CSB) scale, including all operators of dimensionality less or equal to 6 which can be built with quark and chiral fields. We perform its…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Andrianov , D. Espriu , R. Tarrach

The quark-gluon mixed condensate g<\bar{q} \sigma G q> is studied using SU(3)c lattice QCD with the Kogut-Susskind fermion at the quenched level. Using the lattices as \beta = 6.0 with 16^3 * N_t (N_t=16,12,10,8,6,4), \beta = 6.1 with 20^3…

High Energy Physics - Lattice · Physics 2017-08-23 Takumi Doi , Noriyoshi Ishii , Makoto Oka , Hideo Suganuma

I analyse the hypothesis that deviations from the linear meson mass spectra appear due to the dynamical chiral symmetry breaking in QCD. It is shown that the linear mass spectrum for the light, non-strange vector and axial-vector mesons is…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. S. Afonin

We study finite density QCD in an approximation in which the interaction between quarks is modelled on that induced by instantons. We sketch the mechanism by which chiral symmetry restoration at finite density occurs in this model. At all…

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

Dynamical chiral symmetry breaking is described within the linear sigma model of QCD coupled to quarks. The main technical tool used for this intrinsically non--perturbative problem is an exact renormalization group equation for the quantum…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. -U. Jungnickel

Due to an uprise in the variety of candidate compounds, kagome metals have recently gained significant attention. Among other features, kagome metals host Dirac cones as a key band structure feature away from half filling, and potentially…

Strongly Correlated Electrons · Physics 2022-01-05 Riccardo Ciola , Kitinan Pongsangangan , Ronny Thomale , Lars Fritz

We consider here chiral symmetry breaking in quantum chromodynamics arising from gluon condensates in vacuum. Through coherent states of gluons simulating a mean field type of approximation, we show that the off-shell gluon condensates of…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Mishra , S. P. Misra

Due to its light mass of order Lambda_QCD, the strange quark can play a special role in Chiral Symmetry Breaking (ChSB): differences in the pattern of ChSB in the limits N_f=2 (m_u,m_d->0, m_s physical) and N_f=3 (m_u,m_d,m_s->0) may arise…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Descotes-Genon , N. H. Fuchs , L. Girlanda , J. Stern

We study the properties of low-lying Dirac modes in quenched compact QED at $\beta$=0.99, 1.01 and 1.03, employing $12^3\times 12$ lattices and the overlap formalism for the fermion action. We pay special attention to the spatial…

High Energy Physics - Lattice · Physics 2008-11-26 Toru T. Takahashi

The validity of recently proposed equivalence between valence spontaneous chiral symmetry breaking (vSChSB) and chiral polarization of low energy Dirac spectrum (ChP) in SU(3) gauge theory, is examined for the case of twelve mass-degenerate…

High Energy Physics - Lattice · Physics 2014-12-05 Andrei Alexandru , Ivan Horváth

In the past year domain wall fermion simulations have moved from exploratory stages to the point where systematic effects can be studied with different gauge couplings, volumes, and lengths in the fifth dimension. Results are presented here…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew Wingate

The effective quark Lagrangian is derived from the QCD action by means of averaging over the vacuum fields. In the limit of large N_c and keeping for simplicity the lowest order gluonic correlator one obtains nonlinear equations for the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yu. A. Simonov

QED in three dimensions with an $SU(2)_f$ doublet $\psi^i$ of massless, charge-1 Dirac fermions (and no Chern-Simons term) has a $U(2) = (SU(2)_f \times U(1)_m)/\mathbb{Z}_2$ symmetry that acts on gauge-invariant local operators, including…

High Energy Physics - Theory · Physics 2024-10-10 Thomas T. Dumitrescu , Pierluigi Niro , Ryan Thorngren

In a local gauge-invariant theory with massless Dirac fermions a symmetry of the Lorentz-invariant fermion charge is larger than a symmetry of the Lagrangian as a whole. While the Dirac Lagrangian exhibits only a chiral symmetry, the…

High Energy Physics - Phenomenology · Physics 2019-01-14 L. Ya. Glozman

The boundary of a manifold can alter the phase of a theory in the bulk. We explore the possibility of a boundary-induced phase transition for the chiral symmetry of QCD. In particular, we investigate the consequences of imposing homogeneous…

High Energy Physics - Lattice · Physics 2013-08-29 B. C. Tiburzi

The partial restoration of chiral symmetry in nuclear medium is investigated in a model independent way by exploiting operator relations in QCD. An exact sum rule is derived for the quark condensate valid for all density. This sum rule is…

Nuclear Theory · Physics 2008-12-18 D. Jido , T. Hatsuda , T. Kunihiro

We introduce Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories. We show that they are equivalent to the $\epsilon$-limit of the chiral Lagrangian for Wilson chiral perturbation theory. Results are obtained…

High Energy Physics - Lattice · Physics 2013-03-14 Mario Kieburg , Jacobus J. M. Verbaarschot , Savvas Zafeiropoulos

We investigate the low-lying eigenmodes of the Dirac matrix with the aim to gain more insight into the temperature dependence of the anomalous $U_A(1)$ symmetry. We use the overlap operator to probe dynamical QCD configurations generated…

High Energy Physics - Lattice · Physics 2015-05-20 Viktor Dick , Frithjof Karsch , Edwin Laermann , Swagato Mukherjee , Sayantan Sharma

Under the assumption of Abelian dominance in QCD, we have shown that chiral condensate is locally present around each QCD monopole. The essence is that either of charge or chirality of a quark is not conserved, when the low energy massless…

High Energy Physics - Phenomenology · Physics 2017-09-13 Aiichi Iwazaki