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In this lecture we outline the main results of our investigations of certain field-theoretic systems which have V-shaped field potential. After presenting physical examples of such systems, we show that in static problems the exact ground…

High Energy Physics - Theory · Physics 2007-05-23 H. Arodz , P. Klimas , T. Tyranowski

We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for…

High Energy Physics - Theory · Physics 2009-10-28 Giovanni Modanese

We show that the Borel resummed perturbative static potential at N_f=0 converges well, and is in a remarkable agreement with the quenched lattice calculation at distances 1/r > 660 MeV. This shows that Borel resummation is very good at…

High Energy Physics - Phenomenology · Physics 2009-11-07 Taekoon Lee

We compare the perturbatively calculated QCD potential to that obtained from lattice calculations in the theory without light quark flavours. We examine E_tot(r) = 2 m_pole + V_QCD(r) by re-expressing it in the MSbar mass m =…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Recksiegel , Y. Sumino

Perturbative expansions of QCD observables in powers of $\alpha_s$ are believed to be asymptotic and non-Borel summable due to the existence of singularities in the Borel plane (renormalons). This fact is connected with the factorization of…

High Energy Physics - Lattice · Physics 2007-05-23 Antonio Pineda

A complete formulation is given of an exact kinetic theory for lattice gases. This kinetic theory makes possible the calculation of corrections to the usual Boltzmann / Chapman-Enskog analysis of lattice gases due to the buildup of…

comp-gas · Physics 2016-08-31 Bruce M. Boghosian , Washington Taylor

We present the analysis of the static potential extracted from Wilson loops measured on CLS ensembles generated with Wilson gauge action and Nf=2 flavors of O(a) improved Wilson quarks at three different lattice spacings and a range of…

High Energy Physics - Lattice · Physics 2012-02-14 Francesco Knechtli , Björn Leder

We briefly review some of the lower-energy constraints to the perturbative behaviour of the strong coupling $\alpha_s$, with some emphasis on the determination coming from the energy between two static sources calculated on the lattice.

High Energy Physics - Phenomenology · Physics 2015-06-18 Xavier Garcia i Tormo

Fourth order derivative gravity in 3+1-dimensions is perturbatively renormalizable and is shown to describe a unitary theory of gravitons in a limited coupling parameter space. The running gravitational constant which includes graviton…

High Energy Physics - Theory · Physics 2015-05-30 Gaurav Narain , Ramesh Anishetty

We measure the conductivity of neutral fermions in a cubic optical lattice. Using in-situ fluorescence microscopy, we observe the alternating current resultant from a single-frequency uniform force applied by displacement of a weak harmonic…

It is shown that a Coulomb potential using a running coupling slightly modified from the perturbative form can produce an interquark potential that appears nearly linear over a large distance range. Recent high-statistics SU(2) lattice…

High Energy Physics - Lattice · Physics 2009-10-22 M. Grady

We calculate the leading quantum and semi-classical corrections to the Newtonian potential energy of two widely separated static masses. In this large-distance, static limit, the quantum behaviour of the sources does not contribute to the…

High Energy Physics - Theory · Physics 2011-07-19 Ivan J. Muzinich , Stamatis Vokos

Employing the heavy quark pole mass and static potential that were obtained from resummation of the renormalon-caused large order behavior to all orders, and matching the resummed static potential to the long distance Cornell potential we…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. S. Kim , Taekoon Lee , Guo-Li Wang

We compute the proper real-time interaction potential between a static quark and antiquark in classical lattice gauge theory at finite temperature. Our central result is the determination of the screened real-part of this potential, and we…

High Energy Physics - Lattice · Physics 2021-07-28 Alexander Lehmann , Alexander Rothkopf

The anomaly cancellation is at the basis of the perturbative consistence of the Standard Model and it provides a partial explanation of charge quantization. We consider an effective Electroweak theory on a lattice, with a quartic…

High Energy Physics - Lattice · Physics 2023-03-07 Vieri Mastropietro

We derive an analytic formula for the lateral dynamics of solitons in a general inhomogeneous nonlinear media, and show that it can be valid over tens of diffraction lengths. In particular, we show that solitons centered at a lattice…

Pattern Formation and Solitons · Physics 2009-11-13 Y. Sivan , G. Fibich , B. Ilan

The profiles of narrow lattice solitons are calculated analytically using perturbation analysis. A stability analysis shows that solitons centered at a lattice (potential) maximum are unstable, as they drift toward the nearest lattice…

Pattern Formation and Solitons · Physics 2009-11-13 Y. Sivan , G. Fibich , N. K. Efremidis , S. Bar-Ad

The baryon static potential is calculated in the framework of field correlator method and is shown to match the recent lattice results. The effects of the nonzero value of the gluon correlation length are emphasized.

High Energy Physics - Phenomenology · Physics 2009-11-10 D. S. Kuzmenko

We calculate the gravitational potential energy between infinitely long parallel strings with tensions \tau_1 and \tau_2. Classically, it vanishes, but at one loop, we find that the long range gravitational potential energy per unit length…

High Energy Physics - Theory · Physics 2009-11-07 Margaret E. Wessling , Mark B. Wise

Lattice perturbation theory is discussed in the overlap formulation for the Yukawa and gauge interactions. One and two point functions are studied for fermion, scalar and gauge fields, taking the Standard Model as an example. The formulae…

High Energy Physics - Lattice · Physics 2009-10-31 Atsushi Yamada