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We consider the coordinate-space matrix elements that correspond to fixed-angle scattering amplitudes involving partons and Wilson lines in coordinate space, working in Feynman gauge. In coordinate space, both collinear and short-distance…

High Energy Physics - Phenomenology · Physics 2015-05-04 Ozan Erdoğan , George Sterman

We describe the application of renormalization group improved perturbative QCD to inelastic lepton-hadron scattering at high center-of-mass energy but comparatively low photon virtuality. We construct a high energy factorization theorem…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. D. Ball , S. Forte

We study the effects of quantum corrections on transverse momentum broadening of a fast parton passing through dense QCD matter. We show that, at leading logarithmic accuracy the broadening distribution tends at late times or equivalently…

High Energy Physics - Phenomenology · Physics 2022-10-05 Paul Caucal , Yacine Mehtar-Tani

We review the development of understanding for the problem of ultraviolet divergences in supergravity. This history proceeds from initial constructions of counterterms invariant under the relevant degrees of local supersymmetry, through a…

High Energy Physics - Theory · Physics 2025-03-04 G. Bossard , K. S. Stelle

We discuss the renormalization of gauge-invariant transverse-momentum dependent (TMD), i.e., unintegrated, parton distribution functions (PDFs) and carry out the calculation of their anomalous dimension at one loop. We show that in the…

High Energy Physics - Phenomenology · Physics 2008-10-01 N. G. Stefanis , I. O. Cherednikov

Recently-developed variational perturbation expansions converge exponentially fast for positive coupling constants. They do not, however, possess the correct left-hand cut in the complex coupling constant plane, implying a wrong large-order…

Quantum Physics · Physics 2009-10-28 H. Kleinert

Hadronic decays of the $\tau$ lepton provide a clean source to study hadron dynamics in an energy regime dominated by resonances, with the interesting information captured in the spectral functions. Recent results on exclusive channels are…

High Energy Physics - Experiment · Physics 2007-05-23 Michel Davier

We outline an ultraviolet renormalization procedure for hamiltonians acting in the light-front Fock space. The hamiltonians are defined and calculated using creation and annihilation operators with no limitation of the space of states.…

High Energy Physics - Theory · Physics 2007-05-23 Stanislaw D. Glazek

We use the "conspiracy" between infrared (IR) renormalons and condensates in the operator product expansion for correlation functions to make predictions concerning the structure of singularities in the Borel plane for the perturbative…

High Energy Physics - Theory · Physics 2015-05-20 Gerald V. Dunne , M. Shifman , Mithat Unsal

Starting from the N-particle Nelson Hamiltonian defined by imposing an ultraviolet cutoff, we perform ultraviolet renormalization by showing that in the zero cutoff limit a self-adjoint operator exists after a logarithmically divergent term…

Mathematical Physics · Physics 2013-10-07 M. Gubinelli , F. Hiroshima , J. Lorinczi

Implicit regularization (IR) has been shown as an useful momentum space tool for perturbative calculations in dimension specific theories, such as chiral gauge, topological and supersymmetric quantum field theoretical models at one loop…

High Energy Physics - Theory · Physics 2009-11-11 C. R. Pontes , A. P. Baeta Scarpelli , Marcos Sampaio , M. C. Nemes

Symmetry of the order parameter in some triplet superconductors corresponds to doubly-degenerate chiral states. We predict that in a sufficiently small sample this degeneracy can be lifted via macroscopic quantum tunneling. Moreover, if the…

Superconductivity · Physics 2007-05-23 Armen M. Gulian , Kent S. Wood

The singular part of Borel transform of a QCD amplitude near the infrared renormalon can be expanded in terms of higher order Wilson coefficients of the operators associated with the renormalon. In this paper we observe that this expansion…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gorazd Cvetic , Taekoon Lee

Using methods of effective field theory, factorized expressions for arbitrary B -> X_u l nu decay distributions in the shape-function region of large hadronic energy and moderate hadronic invariant mass are derived. Large logarithms are…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. W. Bosch , B. O. Lange , M. Neubert , G. Paz

We complete the derivation of the conservative dynamics of binary systems to fourth Post-Newtonian (4PN) order in the effective field theory (EFT) approach. We present a self-contained (ambiguity-free) computation of the renormalized…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Stefano Foffa , Rafael A. Porto , Ira Rothstein , Riccardo Sturani

We present a unifying, consistent, finite-size-scaling picture for percolation theory bringing it into the framework of a general, renormalization-group-based, scaling scheme for systems above their upper critical dimensions $d_c$.…

Statistical Mechanics · Physics 2017-05-16 Ralph Kenna , Bertrand Berche

Renormalizability of the (minimal) single-fermion QED extension is investigated at all orders of perturbation theory in the framework of algebraic renormalization, a regularization-independent method. Relative to the standard QED, new…

High Energy Physics - Theory · Physics 2015-06-04 O. M. Del Cima , J. M. Fonseca , D. H. T. Franco , A. H. Gomes , O. Piguet

Subradiance is a phenomenon where coupled emitters radiate light at a slower rate than independent ones. While its observation was first reported in disordered cold atom clouds, ordered subwavelength arrays of emitters have emerged as…

Quantum Physics · Physics 2025-12-03 Nicola Piovella , Romain Bachelard

According to Lipatov, the high orders of perturbation theory are determined by saddle-point configurations (instantons) of the corresponding functional integrals. According to t'Hooft, some individual large diagrams, renormalons, are also…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. M. Suslov

We calculate quantum averages of Wilson loops (holonomies) in gauge theories on the Euclidean noncommutative plane, using a path-integral representation of the star-product. We show how the perturbative expansion emerges from a concise…

High Energy Physics - Theory · Physics 2009-11-10 J. Ambjorn , A. Dubin , Y. Makeenko
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