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We study the chiral limit of 2d QCD with a single quark flavor at finite $N_c$ using LCT. By modifying the LCT basis according to the quark mass in a manner motivated by 't Hooft's analysis, we are able to restore convergence for quark…

High Energy Physics - Theory · Physics 2021-11-02 Nikhil Anand , A. Liam Fitzpatrick , Emanuel Katz , Yuan Xin

We extend a previous Landau-gauge study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in strong-coupling, quenched QED_4 to arbitrary covariant gauges. We use the fermion-photon proper vertex…

High Energy Physics - Phenomenology · Physics 2010-03-04 Frederick T. Hawes , Anthony G. Williams , Craig D. Roberts

As a first step, a simple and pedagogical recall of the $\eta$-$\eta'$ system is presented, in which the role of the axial anomaly, related to the heterochiral nature of the multiplet of (pseudo)scalar states, is underlined. As a…

High Energy Physics - Phenomenology · Physics 2019-02-20 Francesco Giacosa

We reinvestigate constraints on the eigenvalue density of the Dirac operator in the chiral symmetric phase of 2 flavor QCD at finite temperature, employing the overlap Dirac operator with the exact chiral symmetry at finite lattice spacings…

High Energy Physics - Lattice · Physics 2012-12-10 Sinya Aoki , Hidenori Fukaya , Yusuke Taniguchi

We consider two loop sunset diagrams with two mass scales m and M at the threshold and pseudotreshold that cannot be treated by earlier published formula. The complete reduction to master integrals is given. The master integrals are…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Onishchenko , O. Veretin

We review recent results on the role of light quark states within the QCD phase diagram. In particular, we will discuss how the combined use of theoretical techniques such as Effective Theories, Unitarization and Ward Identities helps to…

High Energy Physics - Phenomenology · Physics 2021-06-16 Angel Gómez Nicola

Quenched QCD simulations on three volumes, $8^3 \times$, $12^3 \times$ and $16^3 \times 32$ and three couplings, $\beta=5.7$, 5.85 and 6.0 using domain wall fermions provide a consistent picture of quenched QCD. We demonstrate that the…

The divergent part of the generating functional of the Resonance Chiral Theory is evaluated up to one loop when one multiplet of scalar an pseudoscalar resonances are included and interaction terms which couple up to two resonances are…

High Energy Physics - Phenomenology · Physics 2011-07-19 I. Rosell

Interactions of $a_2, K^*_2, f_2$ and $f_2'$ tensor-mesons with low-energy $\pi, K, \eta, \eta'$ pseudo-scalar mesons are constrained by chiral symmetry. We derive a chiral Lagrangian of tensor mesons in which the tensor mesons are treated…

High Energy Physics - Phenomenology · Physics 2010-02-03 Chi-Keung Chow , Soo-Jong Rey

We discuss the finite volume corrections to fK and BK by using the one-loop chiral perturbation theory in full, quenched, and partially quenched QCD. We show that the finite volume corrections to these quantities dominate the physical…

High Energy Physics - Lattice · Physics 2009-11-10 Damir Becirevic , Giovanni Villadoro

We develop quenched chiral perturbation theory for vector mesons made of light quarks, in the limit where the vector meson masses are much larger than the pion mass. We use this theory to extract the leading nonanalytic dependence of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Michael Booth , George Chiladze , Adam F. Falk

Recently evidence has been found that the perturbative QCD potential agrees well with phenomenological potentials and lattice computations of the QCD potential. We review the present status of the perturbative QCD potential and theoretical…

High Energy Physics - Phenomenology · Physics 2017-08-23 Y. Sumino

Motion of a single electron in a disordered alloy and or interacting electrons systems such as magnetic materials, strongly correlated systems and superconductors is replaced by motion of that in an effective medium which is denoted by…

Disordered Systems and Neural Networks · Physics 2019-06-18 Rostam Moradian , Sina Moradian

We study flavor mixing and the axial anomaly in QCD at zero and finite temperature. Using the instanton liquid model, we show that the strength of the anomaly is essentially unchanged near the critical temperature for chiral symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas Schaefer

A recent Monte Carlo study of {\em quenched} QCD showed that the chiral condensate is non-vanishing above $T_c$ in the phase where the average of the Polyakov loop $P$ is complex. We show how this is related to the dependence of the…

High Energy Physics - Lattice · Physics 2009-10-28 M. A. Stephanov

2+1 dimensional massless scalar QED with $(\phi^*\phi)^3$ scalar self-coupling is modified by the addition of a non- minimal Chern-Simons term that couples the dual of the electromagnetic field strength to the covariant current of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. E. Carrington , G. Kunstatter

The arbitrariness in how the logarithm is defined within the QCD series for the inclusive electroproduction cross-section is shown to affect the summation to all orders in $\alpha_s$ of leading and successively-subleading logarithms within…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. Elias , D. G. C. McKeon , T. G. Steele

As was discovered recently, 5-loop perturbative quenched QED approximation to the QED $\beta$-function consist from the rational term and the term proportional to $\zeta(3)$-function. It is stressed, that this feature is also manifesting…

High Energy Physics - Theory · Physics 2011-03-10 A. L. Kataev

Quenched lattice QCD calculations with Wilson-type fermions at small quark masses are impeded by exceptional configurations. We show how this problem can be resolved in a practicable way without changing the physics in the chiral limit.

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , A. Hoferichter , R. Horsley , D. Pleiter , P. Rakow , G. Schierholz , P. Stephenson

We calculate meson correlators in the epsilon-regime within partially quenched chiral perturbation theory. The valence quark masses and sea quark masses can be chosen arbitrary and all non-degenerate. Taking some of the sea quark masses to…

High Energy Physics - Lattice · Physics 2008-11-26 Poul H. Damgaard , Hidenori Fukaya