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We explicitly determine the residues and orders of all the ultra-violet (UV) and infra-red (IR) renormalon poles in the Borel plane for the QCD vacuum polarization function (Adler D-function), to leading order in an expansion in the number…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. N. Lovett-Turner , C. J. Maxwell

We argue that the renormalizability of interacting quantum field theory on the curved-space background with an additional external antisymmetric tensor (two-form) field requires nonminimal interaction of the antisymmetric field with quantum…

High Energy Physics - Theory · Physics 2025-09-09 Ioseph L. Buchbinder , Thomas M. Sangy , Ilya L. Shapiro

A possible avenue towards a non-perturbative Quantum Field Theory (QFT) on Minkowski space is the constructive approach which employs the Euclidian path integral formulation, in the presence of both ultraviolet (UV) and infrared (IR)…

General Relativity and Quantum Cosmology · Physics 2019-07-09 Thorsten Lang , Klaus Liegener , Thomas Thiemann

The IR/UV mixing in the non-commutative (NC) field theory is investigated in Carlson-Carone-Zobin (CCZ) formalism of Lorentz-invariant NC field theory provided that the fields are `independent' of the `internal' coordinates…

High Energy Physics - Theory · Physics 2009-11-10 Katsusada Morita

Here we examine the noncommutative counterpart of QED, which is called as noncommutative QED. The theory is obtained by examining the consistent minimal coupling to noncommutative U(1) gauge field. The *-product admits the coupling of the…

High Energy Physics - Theory · Physics 2009-10-31 M. Hayakawa

A simple parametrization of the QCD running coupling at low scales is introduced and used to illustrate various schemes for the estimation of non-perturbative power corrections. The `infrared matching' scheme proposed earlier gives…

High Energy Physics - Phenomenology · Physics 2010-02-03 B. R. Webber

Description of hadronic reactions at high energies is conventionally done on basis of QCD factoriza- tion so that factorization convolutions involve non-perturbative inputs mimicking non-perturbative contributions and perturbative evolution…

High Energy Physics - Phenomenology · Physics 2017-02-23 B. I. Ermolaev , S. I. Troyan

The long standing problem of non perturbative renormalization of a gauge field theoretical Hamiltonian is addressed and explicitly carried out within an (effective) light-cone Hamiltonian approach to QCD. The procedure is in line with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans-Christian Pauli

To unify the quantum electrodynamics (QED) under the first principle which brings the renormalization unartificially, we study Feynman diagrams in QED according to the set theory and the category theory. We add the restriction on the…

General Physics · Physics 2012-07-16 Zhongzhu Liu

Quantum field theories containing fields with the same quantum numbers allow for mixed kinetic terms in the Lagrangian, leading to off-diagonal elements in the tree-level two-point function. After removing the mixing by a field rotation,…

High Energy Physics - Phenomenology · Physics 2025-12-18 Felix Forner , Felix Tellander

We develop and discuss an infrared-finite factorization and optimized renormalization scheme for calculating exclusive processes which enables the inclusion of transverse degrees of freedom without entailing suppression of calculated…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis , W. Schroers , H. -Ch. Kim

QCD predicts that strongly interacting matter will undergo a transition from a state of hadronic constituents to a plasma of unbound quarks and gluons. We first survey the conceptual features of this transition and its description in finite…

High Energy Physics - Phenomenology · Physics 2011-07-19 Helmut Satz

It is well known that there is a total cancellation of the \emph{factorizable} IR divergences in unitary interacting field theories, such as QED and quantum gravity. In this note we show that such a cancellation does not happen in QED with…

High Energy Physics - Phenomenology · Physics 2009-11-05 E. T. Akhmedov , E. T. Musaev

This paper proposes a different interpretation on the renormalization program of an interacting Klein-Gordon field in curved space-times. Rather than being just another renormalization program we argue that it that it makes the QFT…

General Physics · Physics 2010-09-13 P. Tillman

We investigate the threshold-enhanced QCD corrections to the cross sections for direct top quark productions induced by model-independent flavor changing neutral current couplings at hadron colliders. We use the soft-collinear effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Li Lin Yang , Chong Sheng Li , Yang Gao , Jian Jun Liu

The factorization theorems of quantum chromodynamics (QCD) apply equally well to most simple quantum field theories that require renormalization but where direct calculations are much more straightforward. Working with these simpler…

High Energy Physics - Phenomenology · Physics 2023-05-03 F. Aslan , L. Gamberg , J. O. Gonzalez-Hernandez , T. Rainaldi , T. C. Rogers

To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet…

High Energy Physics - Phenomenology · Physics 2021-06-22 Martin Lüscher , Peter Weisz

We compute the renormalon ambiguity of the static potential, in the limit of a large number of flavors. An extrapolation of the QED result to QCD implies that the large distance behavior of the quark potential is arbitrary in perturbation…

High Energy Physics - Phenomenology · Physics 2016-09-01 Ugo Aglietti , Zoltan Ligeti

A constituent parton picture of hadrons with logarithmic confinement naturally arises in weak coupling light-front QCD. Confinement provides a mass gap that allows the constituent picture to emerge. The effective renormalized Hamiltonian is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Martina M. Brisudova , Robert J. Perry , Kenneth G. Wilson

QED perturbation theory in a background field has been conjectured to break down for sufficiently high field intensity. The high-intensity behavior of a field theory is however intertwined with its high-energy (UV) behavior. Here we show…

High Energy Physics - Phenomenology · Physics 2020-12-04 Robin Ekman , Tom Heinzl , Anton Ilderton