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Related papers: Pade-Summation Approach to QCD Beta-Function Infra…

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We prove an infrared bound for the transverse field Ising model. This bound is stronger than the previously known infrared bound for the model, and allows us to investigate mean-field behaviour. As an application we show that the critical…

Probability · Mathematics 2015-06-05 Jakob E. Björnberg

In the framework of the analytic approach to Quantum Chromodynamics a new model for the strong running coupling has recently been developed. Its underlying idea is to impose the analyticity requirement on the perturbative expansion of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

It is often claimed that the ultra-slow-roll regime of inflation, where the dynamics of the inflaton field are friction dominated, is a non-attractor and/or transient. In this work we carry out a phase-space analysis of ultra-slow roll in…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-19 Chris Pattison , Vincent Vennin , Hooshyar Assadullahi , David Wands

We apply the optimization procedure based on the Principle of Minimal Sensitivity to the third-order calculation of $R_{\tau}$. Since the effective couplant remains finite, freezing to a value $\alpha_s/\pi = 0.26$ at low energies, we can…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. C. Mattingly

In this paper we extend the work synthetically presented in Ref.[1] and give theoretical details and complete tables of numerical results. We exploit calculations within a Bethe-Salpeter (BS) formalism adjusted for QCD, in order to extract…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Baldicchi , A. V. Nesterenko , G. M. Prosperi , C. Simolo

We investigate the infrared properties of the next-to-leading-order dispersion relations in scalar quantum electrodynamics at high temperature in the context of hard-thermal-loop perturbation theory. Specifically, we determine the damping…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Abada , K. Bouakaz

We study the infrared phases of $\mathcal{N}\,=\,1$ QCD$_3$ with gauge group $SU(N_c)$ and with the superpotential containing the mass term and the baryon operator. We restrict ourselves to the cases, when the number of flavors is equal to…

High Energy Physics - Theory · Physics 2019-11-25 Vladimir Bashmakov , Hrachya Khachatryan

We consider an extension to finite temperature in an AdS/ QCD model, which regards anomalous dimension contributions to get a bulk mass depending on beta function. We study the effect of beta function on mass as a function of temperature…

High Energy Physics - Phenomenology · Physics 2022-09-21 Alfredo Vega , Amanda Rodriguez

We discuss the infrared and ultraviolet behavior of the fermion propagator in (2+1)-dimensional QED based on spectral representation.If we choose soft-photon exponentiation to include all orders of soft-photon emission by electron,its…

High Energy Physics - Theory · Physics 2014-03-17 Yuichi Hoshino

We revisit previous determination of the strong coupling constant from moments of quarkonium correlators in (2+1)-flavor QCD. We use previously calculated moments obtained with Highly Improved Staggered Quark (HISQ) action for five…

High Energy Physics - Lattice · Physics 2022-02-10 Peter Petreczky , Johannes Heinrich Weber

The evolution of QCD coupling constant at finite temperature is considered by making use of the finite temperature renormalization group equation up to the one-loop order in the background field method with the Feynman gauge and the…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , M. Hayashi

The three renormalization-group-accessible three-loop coefficients of powers of logarithms within the \bar{MS} series momentum-space for the QCD static potential are calculated and compared to values obtained via asymptotic…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. A. Chishtie , V. Elias

We discuss the analytic continuation beyond $\mu/T \simeq 1$ in QCD at nonzero T and $\mu$ by use of the Pade' approximants. The slope of the critical line obtained in this way increases at large $\mu$ with respect to the second order…

High Energy Physics - Lattice · Physics 2007-05-23 M. P. Lombardo

The renormalization-group improved finite order expansions of the QCD observables have an unphysical singularity in the Euclidean region, due to the Landau pole of the running coupling. Recently it was claimed that, by using a modified…

High Energy Physics - Phenomenology · Physics 2007-05-23 Irinel Caprini , Jan Fischer

Coupling constants of the pseudoscalar mesons to the octet baryons are calculated in the QCD sum rule approach. Two-point correlation function of the baryons are evaluated in a single meson state and the vacuum, which yields the designated…

High Energy Physics - Phenomenology · Physics 2011-07-19 Takumi Doi , Yoshihiko Kondo , Makoto Oka

Within the set of schemes defined by generalized, manifestly gauge invariant exact renormalization groups for QED, it is argued that the beta-function in the four dimensional massless theory cannot possess any nonperturbative power…

High Energy Physics - Theory · Physics 2008-11-26 Oliver J. Rosten

The QCD effective charge $\alpha_{g_1}(Q)$ is an observable that characterizes the magnitude of the strong interaction. At high momentum $Q$, it coincides with the QCD running coupling $\alpha_{\rm s}(Q)$. At low $Q$, it offers a…

High Energy Physics - Phenomenology · Physics 2022-07-11 A. Deur , V. Burkert , J. P. Chen , W. Korsch

We study the dynamics of SU(2) gauge theory with NF=6 Dirac fermions by means of lattice simulation to investigate if they are appropriate to realization of electroweak symmetry breaking. The discrete analogue of beta function for the…

High Energy Physics - Lattice · Physics 2012-10-19 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , N. Yamada

We study an ultrarelativistic QED plasma in thermal equilibrium. Plasmons - photon collective excitations - are postulated to correspond not to poles of the retarded photon propagator but to poles of the propagator multiplied by the fine…

High Energy Physics - Phenomenology · Physics 2019-10-02 Margaret E. Carrington , Stanislaw Mrowczynski

A new thermal regime of QCD, featuring decoupled scale-invariant infrared glue, has been proposed to exist both in pure-glue (N$_f$=0) and ``real-world" (N$_f$=2+1 at physical quark masses) QCD. In this {\it IR phase}, elementary degrees of…

High Energy Physics - Lattice · Physics 2024-11-26 Xiao-Lan Meng , Peng Sun , Andrei Alexandru , Ivan Horváth , Keh-Fei Liu , Gen Wang , Yi-Bo Yang