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Related papers: Restoring rotational invariance for lattice QCD pr…

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We present the lattice QCD formulation in rotating frames. We start with the continuum QCD action in rotating frames, and then discretize it on the lattice. For the first test of the formulation, we calculate angular momentum in the…

High Energy Physics - Lattice · Physics 2013-08-09 Arata Yamamoto , Yuji Hirono

We reconstruct the gluon spectral function in Landau gauge QCD from numerical data for the gluon propagator. The reconstruction relies on two novel ingredients: Firstly we derive analytically the low frequency asymptotics of the spectral…

High Energy Physics - Phenomenology · Physics 2018-12-26 Anton K. Cyrol , Jan M. Pawlowski , Alexander Rothkopf , Nicolas Wink

We solve the long-standing problem of variational calculus on a noncommutative space or spacetime for a significant class of models with trivial jet bundle. Our approach entails a quantum version of the Anderson variational double complex…

High Energy Physics - Theory · Physics 2025-11-17 Shahn Majid , Francisco Simão

We show that the perturbatively-improved gluon action for QCD, once it is tadpole-improved, gives accurate results even with lattice spacings as large as 0.4~fm. {\em No\/} tuning of the couplings is required. Using this action and lattice…

High Energy Physics - Lattice · Physics 2009-10-28 M. Alford , W. Dimm , G. Hockney , P. Lepage , P. Mackenzie

We investigate the application of efficient recursive numerical integration strategies to models in lattice gauge theory from quantum field theory. Given the coupling structure of the physics problems and the group structure within lattice…

High Energy Physics - Lattice · Physics 2021-12-10 Tobias Hartung , Karl Jansen , Frances Y. Kuo , Hernan Leövey , Dirk Nuyens , Ian H. Sloan

We present a calculation of the leading order hadronic contribution to the anomalous magnetic moment of the muon for a dynamical simulation of 2+1 flavour QCD using domain wall fermions. The electromagnetic 2-point function is evaluated on…

High Energy Physics - Lattice · Physics 2015-03-19 Peter Boyle , Luigi Del Debbio , Eoin Kerrane , James Zanotti

We show that the application of a novel gauge invariant truncation scheme to the Schwinger-Dyson equations of QCD leads, in the Landau gauge, to an infrared finite gluon propagator and a divergent ghost propagator, in qualitative agreement…

High Energy Physics - Phenomenology · Physics 2009-08-31 A. C. Aguilar , D. Binosi , J. Papavassiliou

Theories of gravity in which the metric is fundamentally classical predict stochastic fluctuations in the gravitational field. In this article, we study the stochastic Klein-Gordon equation as a starting point to understand the…

General Relativity and Quantum Cosmology · Physics 2025-11-17 Jonathan Oppenheim , Emanuele Panella

In this paper, we present details of the dual fermion (DF) method to study the non-local correction to single site DMFT. The DMFT two-particle Green's function is calculated using continuous time quantum monte carlo (CT-QMC) method. The…

Strongly Correlated Electrons · Physics 2013-05-29 Gang Li , Hunpyo Lee , Hartmut Monien

We summarise results for the propagators of Landau gauge QCD from the Green's functions approach and lattice calculations. The nonperturbative solutions for the ghost, gluon and quark propagators from a coupled set of Dyson-Schwinger…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , R. Alkofer

We show how to perform a resummation, to all orders in perturbation theory, of a certain class of gauge invariant diagrams in Lattice QCD. These diagrams are often largely responsible for lattice artifacts. Our resummation leads to an…

High Energy Physics - Lattice · Physics 2009-10-31 H. Panagopoulos , E. Vicari

The main goal of this paper is to adopt a multivector calculus scheme to study finite difference discretizations of Klein-Gordon and Dirac equations for which Chebyshev polynomials of the first kind may be used to represent a set of…

Mathematical Physics · Physics 2016-01-28 Nelson Faustino

We compute the full non-perturbative ghost and gluon two-point Green functions by using gauge field configurations with $\nf=2$ and $\nf=2+1+1$ twisted-mass quark flavours. We use simulations with several different light quark masses, heavy…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. Ayala , A. Bashir , D. Binosi , M. Cristoforetti , J. Rodríguez-Quintero

We discuss QCD evolution equations for two and three particle correlation functions of quarks and gluon fields in a hadron which describe development of the momentum distribution of a parton system with a change of the wave length of a…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Belitsky

We report on the status of a study of the quark propagator and quark-gluon vertex in momentum space. Quark propagators have been generated at beta=6.0 using the O(a)-improved Sheikholeslami-Wohlert action and fixed to the Landau gauge. The…

High Energy Physics - Lattice · Physics 2009-10-28 Jon Ivar Skullerud

This report provides Green's functions (classical propagators) of gravitational fields appearing in general relativity. The existence of Green's function of the wave equation in curved space with an indefinite metric is ensured owing to the…

General Relativity and Quantum Cosmology · Physics 2025-02-21 Yoshimasa Kurihara

These lectures aim to provide a basic introduction to dispersive methods and their modern applications to the phenomenology of the Standard Model at low energy. This approach exploits analyticity properties of Green functions and scattering…

High Energy Physics - Phenomenology · Physics 2025-09-30 Gilberto Colangelo

I present some preliminary results, obtained in collaboration with C. Bernard and A. Soni, for the lattice evaluation of 2- and 3-point gluon correlation functions in momentum space, with emphasis on the amputated 3-gluon vertex function.…

High Energy Physics - Lattice · Physics 2009-10-22 Claudio Parrinello

We consider pure glue QCD at beta=5.7, beta=6.0 and beta=6.3. We evaluate the gluon propagator both in time at zero 3-momentum and in momentum space. From the former quantity we obtain evidence for a dynamically generated effective mass,…

High Energy Physics - Lattice · Physics 2009-10-22 C. Bernard , C. Parrinello , A. Soni

We investigate signal propagation in a quantum field simulator of the Klein-Gordon model realized by two strongly coupled parallel one-dimensional quasi-condensates. By measuring local phononic fields after a quench, we observe the…