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Equal time, point to point correlation functions for spatially separated meson currents are calculated with respect to a variational construct for the ground state of QCD. Given such an ansatz we make no further approximations in the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Varun Sheel , Hiranmaya Mishra , Jitendra C. Parikh

We apply chiral perturbation theory to the pseudoscalar meson mass and decay constant data obtained in the PACS-CS Project toward 2+1 flavor lattice QCD simulations with the O(a)-improved Wilson quarks. We examine the existence of chiral…

The two-flavor quark-meson model is used as a low-energy effective model for QCD to study inhomogeneous chiral condensates at finite %temperature $T$ baryon chemical potential $\mu_B$. The parameters of the model are determined by matching…

High Energy Physics - Phenomenology · Physics 2017-10-09 Prabal Adhikari , Jens O. Andersen , Patrick Kneschke

The chiral properties of the pseudoscalar mesons are studied numerically on a quenched $20^4$ lattice with the overlap fermion. We elucidate the role of the zero modes in the meson propagators, particularly that of the pseudoscalar meson.…

High Energy Physics - Lattice · Physics 2008-11-26 S. J. Dong , T. Draper , I. Horvath , F. X. Lee , K. F. Liu , J. B. Zhang

In this talk we discuss the microscopic limit of QCD at nonzero chemical potential. In this domain, where the QCD partition function is under complete analytical control, we uncover an entirely new link between the spectral density of the…

High Energy Physics - Lattice · Physics 2017-08-23 J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

We have performed fits of the pseudoscalar masses and decay constants, from a variety of RBC-UKQCD domain wall fermion ensembles, to $SU(2)$ partially quenched chiral perturbation theory at next-to leading order (NLO) and next-to-next-to…

High Energy Physics - Lattice · Physics 2016-03-23 P. A. Boyle , N. H. Christ , N. Garron , C. Jung , A. Jüttner , C. Kelly , R. D. Mawhinney , G. McGlynn , D. J. Murphy , S. Ohta , A. Portelli , C. T. Sachrajda

We study lattice QCD determinations of the pion mass and decay constant by means of chiral perturbation theory (ChPT). The lattice data are obtained from large scale simulations with N_f=2 flavours of twisted mass fermions at maximal twist.…

High Energy Physics - Phenomenology · Physics 2019-08-13 P. Dimopoulos , R. Frezzotti , G. Herdoiza , K. Jansen , C. Michael , C. Urbach

The thermal and density corrections, in terms of the isospin chemical potential $\mui $, to the mass of the pions, the decay constant and different condensates are studied in the framework of the SU(2) low energy effective chiral lagrangian…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Villavicencio

The chiral condensate in QCD at zero temperature does not depend on the quark chemical potential (up to one third the nucleon mass), whereas the spectral density of the Dirac operator shows a strong dependence on the chemical potential. The…

High Energy Physics - Theory · Physics 2009-02-23 J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

We determine the masses and pseudoscalar decay constants of D and D_s mesons employing lattice QCD with non-perturbatively O(a) improved Wilson quarks and a tree-level Symanzik-improved gauge action. Our analysis is based on the…

High Energy Physics - Lattice · Physics 2017-01-20 Sara Collins , Kevin Eckert , Jochen Heitger , Stefan Hofmann , Wolfgang Soeldner

We address finite volume effects of lattice QCD calculations in background magnetic fields. Using chiral perturbation theory at next-to-leading order, volume effects are calculated for thermodynamic quantities: the chiral condensate,…

High Energy Physics - Lattice · Physics 2023-05-17 Prabal Adhikari , Brian C. Tiburzi

We determine the (pseudo)critical lines of QCD with two degenerate staggered fermions at nonzero temperature and quark or isospin density, in the region of imaginary chemical potentials; analytic continuation is then used to prolongate to…

High Energy Physics - Lattice · Physics 2013-05-30 P. Cea , L. Cosmai , M. D'Elia , A. Papa , F. Sanfilippo

We confront the finite volume and small quark mass behaviour of the scalar condensate, determined numerically in quenched lattice QCD using Neuberger fermions, with predictions of quenched chiral perturbation theory. We find that quenched…

High Energy Physics - Lattice · Physics 2009-10-31 P. Hernandez , K. Jansen , L. Lellouch

We study the two-flavor quark-meson (QM) model with the functional renormalization group (FRG) to describe the effects of collective mesonic fluctuations on the phase diagram of QCD at finite baryon and isospin chemical potentials, $\mu_B$…

High Energy Physics - Phenomenology · Physics 2012-12-21 Kazuhiko Kamikado , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

We present results of a simulation of 2 flavour QCD on a $16^3\times4$ lattice using p4-improved staggered fermions with bare quark mass $m/T=0.4$. Derivatives of the thermodynamic grand canonical partition function $Z(V,T,\mu_u,\mu_d)$…

High Energy Physics - Phenomenology · Physics 2016-08-16 S. Ejiri , C. R. Allton , M. Döring , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

We consider finite volume effects on the electro-magnetic pion form factor near the chiral limit, in the so-called $\epsilon$ regime. The pseudoscalar-vector-pseudoscalar three-point function is calculated in the $\epsilon$ expansion of…

High Energy Physics - Lattice · Physics 2014-02-13 Hidenori Fukaya , Takashi Suzuki

We investigate the impact of finite volume effects on the critical number of flavours, N_f^c, for chiral symmetry restoration in QED3. To this end we solve a set of coupled Dyson-Schwinger equations on a torus. For order parameters such as…

High Energy Physics - Phenomenology · Physics 2009-04-08 Tobias Goecke , Christian S. Fischer , Richard Williams

We investigate the static scaling behavior of the chiral condensate near the two-flavor critical point within the framework of the soft-wall AdS/QCD. The scaling functions are extracted from the chiral order parameters and are found to…

High Energy Physics - Phenomenology · Physics 2025-07-31 Zhongzheng Zhang , Danning Li , Lang Yu , Zhibin Li , Xinyang Wang

We calculate pion mass, pion decay constant, PCAC quark mass and nucleon mass in two flavour lattice QCD with unimproved Wilson fermion and gauge actions. Simulations are performed using DD-HMC algorithm at two lattice spacings and two…

High Energy Physics - Lattice · Physics 2015-06-12 Abhishek Chowdhury , Asit K. De , Sangita De Sarkar , A. Harindranath , Jyotirmoy Maiti , Santanu Mondal , Anwesa Sarkar

The partition function of QCD is analyzed for an arbitrary number of flavors, N_f, and arbitrary quark masses including the contributions from all topological sectors in the Leutwyler--Smilga regime. For given N_f and arbitrary vacuum…

High Energy Physics - Theory · Physics 2016-09-06 Jonathan Lenaghan , Thomas Wilke