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We reconsider constraints on the eigenvalue density of the Dirac operator in the chiral symmetric phase of 2 flavor QCD at finite temperature. To avoid possible ultra-violet(UV) divergences, we work on a lattice, employing the overlap Dirac…

High Energy Physics - Lattice · Physics 2013-05-30 Sinya Aoki , Hidenori Fukaya , Yusuke Taniguchi

We present an update of our study of the phase diagram of two-flavour QCD at zero baryon density with dynamical $O(a)$ improved Wilson quarks. All simulations are done on lattices with a temporal extent of $N_t=16$ and spatial extent…

High Energy Physics - Lattice · Physics 2013-11-01 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Owe Philipsen , Hartmut Wittig

The renormalization of chiral perturbation theory is carried out to next-to-next-to-leading order in the meson sector. We calculate the divergent part of the generating functional of Green functions of quark currents to O(p^6) for chiral…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Bijnens , G. Colangelo , G. Ecker

We compute the lattice spacing corrections to the spectral density of the Hermitean Wilson Dirac operator using Wilson Chiral Perturbation Theory at NLO. We consider a regime where the quark mass $m$ and the lattice spacing $a$ obey the…

High Energy Physics - Lattice · Physics 2015-05-27 S. Necco , A. Shindler

Using the non-perturbative renormalization technique, we calculate the renormalization factors for quark bilinear operators made of overlap fermions on the lattice. The background gauge field is generated by the JLQCD and TWQCD…

High Energy Physics - Lattice · Physics 2010-04-06 J. Noaki , T. W. Chiu , H. Fukaya , S. Hashimoto , H. Matsufuru , T. Onogi , E. Shintani , N. Yamada

We investigate properties of low-energy QCD in a finite spatial volume, but with arbitrary temperature. In the limit of small temperature and small cube size compared to the pion Compton wavelength, Leutwyler has shown that the effective…

High Energy Physics - Lattice · Physics 2016-03-02 Matthew E. Matzelle , Brian C. Tiburzi

In QCD at high density, the color-octet quark-antiquark condensate $\langle\overline\psi\gamma_0(\lambda^A)_C (\lambda^A)_F\psi\rangle$ is generally nonzero and dynamically breaks the $\mathrm{SU}(3)_C\times…

High Energy Physics - Theory · Physics 2020-07-02 Takuya Kanazawa

We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, $\langle TT {\cal O } \rangle,$ in general CFTs. We also constrain the gravitational anomaly…

High Energy Physics - Theory · Physics 2017-12-06 Clay Cordova , Juan Maldacena , Gustavo J. Turiaci

We extend approximate next-to-next-to-leading order results for top-pair production to include the semi-leptonic decays of top quarks in the narrow-width approximation. The new hard-scattering kernels are implemented in a fully differential…

High Energy Physics - Phenomenology · Physics 2015-06-22 A. Broggio , A. S. Papanastasiou , A. Signer

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the…

We construct the most general low-energy effective lagrangian including local parity violating terms parametrized by an axial chemical potential or chiral imbalance $\mu_5$, up to ${\cal O}(p^4)$ order in the chiral expansion for two light…

High Energy Physics - Phenomenology · Physics 2020-07-15 Domènec Espriu , Angel Gómez Nicola , Andrea Vioque-Rodríguez

We explore the chiral aspects of extrapolation of observables calculated within lattice QCD, using the nucleon magnetic moments as an example. Our analysis shows that the biggest effects of chiral dynamics occur for quark masses…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. W. Thomas , D. B. Leinweber , D. H. Lu

The variational approach to QCD in Coulomb gauge developed previously by the T\"ubingen group is improved by enlarging the space of quark trial vacuum wave functionals through a new Dirac structure in the quark-gluon coupling. Our ansatz…

High Energy Physics - Phenomenology · Physics 2016-03-09 P. Vastag , H. Reinhardt , D. Campagnari

Exploiting the Banks-Casher relation, we present a direct determination of the chiral condensate in two-flavor QCD, computing the mode number of the O(a)-improved Wilson-Dirac operator below various cutoffs. We make use of…

High Energy Physics - Lattice · Physics 2014-12-04 Georg P. Engel

The chiral effective Lagrangian for pseudoscalar nonet is constructed in consideration of isospin breaking. And the difference of quark condensates is taken accounted. The SU(3) singlet eta0 is not taken as Goldstone-boson. The mixing with…

High Energy Physics - Phenomenology · Physics 2009-11-13 Xiaoya Li , Xiaofu Lv

In nuclear chiral perturbation theory (ChPT), an operator is defined in a space with a cutoff which may be varied within a certain range. The operator runs as a result of the variation of the cutoff [renormalization group (RG) running]. In…

Nuclear Theory · Physics 2010-01-11 Satoshi X. Nakamura , Anders Gardestig

The problem of precise evaluation of the perturbative QCD predictions at moderate energies is considered. Substantial renormalization scheme dependence of the perturbative predictions obtained with the conventional renormalization group…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

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

Using the quark eigenmodes computed on the lattice with the overlap-Dirac operator, we investigate the spatial distribution of the chiral condensate around static color sources corresponding to quark-antiquark and three-quark systems. A…

High Energy Physics - Lattice · Physics 2015-05-08 Takumi Iritani , Guido Cossu , Shoji Hashimoto

Theoretical efforts to describe and explain the $\eta\to 3\pi$ decays reach far back in time. Even today, the convergence of the decay widths and some of the Dalitz plot parameters seems problematic in low energy QCD. In the framework of…

High Energy Physics - Phenomenology · Physics 2017-03-08 Marian Kolesar , Jiri Novotny