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We show how the gauge invariant formulation of QCD in terms of loops is free from a hidden $\theta$ parameter and offers an alternative way to solve the $U(1)_A$ puzzle.

High Energy Physics - Theory · Physics 2007-05-23 H. Fort , R. Gambini

An effective hamiltonian for heavy quarkonia is derived from QCD by separating gluonic fields in background and quantum fields and neglecting anharmonic contributions. Mesonic states with nonperturbative gluonic components are constructed.…

High Energy Physics - Phenomenology · Physics 2009-09-25 C. A. A. Nunes , F. S. Navarra , P. Ring , M. Schaden

Part I is devoted to the extraction of the QCD coupling from a bound state approach at low energy scales, where unphysical singularities make the RG-improved pQCD useless. Theoretical results on the meson spectrum based on a Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2008-07-10 Claudia Simolo

We study the conformal window of QCD using perturbation theory, starting from the perturbative upper edge and going down as much as we can towards the strongly coupled regime. We do so by exploiting the available five-loop computation of…

High Energy Physics - Theory · Physics 2024-12-25 Lorenzo Di Pietro , Marco Serone

We employ analytic QCD (anQCD) approach to analyze the unpolarized nucleon structure function (NSF) in deep inelastic scattering ( DIS ) processes at the next-to-leading order (NLO) accuracy. Considering the unreliable results of underlying…

High Energy Physics - Phenomenology · Physics 2021-10-13 L. Ghasemzadeh , A. Mirjalili , S. Atashbar Tehrani

We derive a system of coupled flow equations for the proper-vertices of the background effective average action and we give an explicit representation of these by means of diagrammatic and momentum space techniques. This explicit…

High Energy Physics - Theory · Physics 2015-04-01 Alessandro Codello

We develop a perturbative QCD factorization theorem which is compatible with effective field theory. The factorization involves three scales: an infrared cutoff of order $\Lambda_{\rm QCD}$, a hard scale of order the $B$ meson mass, and an…

High Energy Physics - Phenomenology · Physics 2011-07-19 Chia-Hung V. Chang , Hsiang-nan Li

We present a method for evaluating the partition function in a varying external field. Specifically, we look at the case of a non-interacting, charged, massive scalar field at finite temperature with an associated chemical potential in the…

High Energy Physics - Theory · Physics 2009-11-10 J. J. Mckenzie-Smith , Wade Naylor

Perturbative QCD has made significant progress over the last few decades. In the first part, we present an introductory overview of perturbative QCD as seen from a modern viewpoint. We explain the relation between purely perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-22 Y. Sumino

The polarized nucleon structure function in the nonsinglet case is investigated here by a new insight rather than conventional perturbative QCD (pQCD). For this purpose we note that the solution of the evolution equations in moment space…

High Energy Physics - Phenomenology · Physics 2019-12-12 Leila Ghasemzadeh , Abolfazl Mirjalili , S. Atashbar Tehrani

We study deviations from the perturbative asymptotic behaviour in the running QCD coupling by analysing non-perturbative measurements of alpha_s (p) at low momenta as obtained from the lattice three-gluon vertex. Our exploratory study…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Burgio , F. Di Renzo , C. Parrinello , C. Pittori

The normalization of the gluon condensate and of renormalon-related power corrections in QCD is computed under the assumption that their ``perturbative'' part dominates over any eventual extra contribution from the non-trivial vacuum. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 Georges Grunberg

We investigate gravitational correlation functions in a curved background with the help of nonperturbative renormalization group methods. Beta functions for eleven couplings are derived, two of which correspond to running gauge parameters.…

High Energy Physics - Theory · Physics 2017-10-04 Benjamin Knorr , Stefan Lippoldt

The successive perturbative estimates of the pressure of QCD at high temperature T show no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting known results of an effective field theory which separates…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. -P. Blaizot , E. Iancu , A. Rebhan

Using the background field technique, we calculate the 3-loop beta function of lattice $SU(N)$ gauge theories. In the pure gluonic case, we present our results, comparing to those recently obtained by Luescher and Weisz. We also provide a…

High Energy Physics - Lattice · Physics 2009-10-28 B. Alles , C. Christou , A. Feo , H. Panagopoulos , E. Vicari

We derive the full set of beta functions for the marginal essential couplings of projectable Horava gravity in (3 + 1)-dimensional spacetime. To this end we compute the divergent part of the one-loop effective action in static background…

High Energy Physics - Theory · Physics 2024-12-03 Andrei O. Barvinsky , Alexander V. Kurov , Sergey M. Sibiryakov

The proper time path integral representation is derived explicitly for Green's functions in QCD. After an introductory analysis of perturbative properties, the total gluonic field is separated in a rigorous way into a nonperturbative…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov , J. A. Tjon

The perturbative QCD approach is based on $k_T$ factorization, including the Sudakov form factors so that to avoid the endpoint singularity. In this approach, we calculate the charmless B decays like $B\to \pi\pi$ decays etc. to produce the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Cai-Dian Lu

Non-perturbative solutions to the quantum-field theory is a topic of current and broad interest, especially for the heavy ion and laser physics communities, since they investigate particle production in the presence of strong external…

High Energy Physics - Phenomenology · Physics 2015-03-17 H. Honkanen

In this article we study in detail the prospects of determining the infrared finite QCD effective charge from a special kinematic limit of the vertex function corresponding to three background gluons. This particular Green's function…

High Energy Physics - Phenomenology · Physics 2013-06-26 D. Binosi , D. Ibanez , J. Papavassiliou
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