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We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equations method, augmented by an $\epsilon$-factorized basis, which…

High Energy Physics - Theory · Physics 2024-11-08 Claude Duhr , Federico Gasparotto , Christoph Nega , Lorenzo Tancredi , Stefan Weinzierl

We develop a new real-space method which allows to evaluate the Kubo-Greenwood conductivity of independent electrons in static aperiodic potentials. We apply it to a numerical study of propagation modes in 3 dimensional quasiperiodic…

Condensed Matter · Physics 2007-05-23 S. Roche , D. Mayou

In the framework of analytic approach to QCD the nonperturbative contributions in running coupling of strong interaction up to 4-loop order are obtained in an explicit form. For all $Q>\Lambda$ they are shown to be represented in the form…

High Energy Physics - Phenomenology · Physics 2009-11-07 Aleksey I. Alekseev

We investigate Lipatov's QCD effective action for the QCD high energy limit and propose a pole prescription for higher order induced vertices. The latter can be used in the evaluation of loop corrections to high energy factorized matrix…

High Energy Physics - Phenomenology · Physics 2015-06-03 Martin Hentschinski

In the in-out formalism we advance a method of the inverse scattering matrix for calculating effective actions in pure magnetic field backgrounds. The one-loop effective actions are found in a localized magnetic field of Sauter type and…

High Energy Physics - Theory · Physics 2015-05-30 Sang Pyo Kim

The one-loop effective action in QED at zero and finite temperature is obtained by using the worldline approach. The Feynman rules for the perturbative expansion of the action in the number of derivatives are derived. The general structure…

High Energy Physics - Theory · Physics 2011-04-15 Igor A. Shovkovy

The QED effective Lagrangian in the presence of an arbitrary constant electromagnetic background field at finite temperature is derived in the imaginary-time formalism to one-loop order. The boundary conditions in imaginary time reduce the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Holger Gies

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu

Approximations based on two-particle irreducible (2PI) effective actions (also known as $\Phi$-derivable, Cornwall-Jackiw-Tomboulis or Luttinger-Ward functionals depending on context) have been widely used in condensed matter and…

High Energy Physics - Theory · Physics 2015-10-27 Michael Brown , Ian Whittingham

We present a specific class of models for an infrared-finite analytic QCD coupling, such that at large space-like energy scales the coupling differs from the perturbative one by less than any inverse power of the energy scale. This…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gorazd Cvetic , Cristian Valenzuela

We calculate higher-order quantum contributions in different Lorentz-violating parameters to the gauge sector of the extended QED. As a result of this one-loop calculation, some terms which do not produce first-order corrections, contribute…

High Energy Physics - Phenomenology · Physics 2018-08-21 A. P. Baeta Scarpelli , L. C. T. Brito , J. C. C. Felipe , J. R. Nascimento , A. Yu. Petrov

Results are presented of a full leading-order evaluation of the shear viscosity, flavor diffusion constants, and electrical conductivity in high temperature QCD and QED. The presence of Coulomb logarithms associated with gauge interactions…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold , Guy D. Moore , Laurence G. Yaffe

The noncommutative dipole QED is studied in detail for the matter fields in the adjoint representation. The axial anomaly of this theory is calculated in two and four dimensions using various regularization methods. The Ward-Takahashi…

High Energy Physics - Theory · Physics 2009-11-07 Neda Sadooghi , Masoud Soroush

The electrical conductivity is calculated for regular inhomogeneous two component isotropic medium in which droplets of one phase with conductivity sigma_2 are embedded in another, with conductivity sigma_1. An expression is formulated…

Statistical Mechanics · Physics 2007-05-23 V. V. Kabanov , K. Zagar , D. Mihailovic

The in-out formalism is a systematic and powerful method for finding the effective actions in an electromagnetic field and a curved spacetime provided that the field equation has explicitly known solutions. The effective action becomes…

High Energy Physics - Theory · Physics 2017-04-05 Sang Pyo Kim

New terms are derived for the three-dimensional effective action of the static modes of pure gauge SU(N) at high temperature. In previous works, effective vertices have been obtained by evaluating diagrams involving 2, 3 or 4 external…

High Energy Physics - Phenomenology · Physics 2010-11-01 Scott Chapman

We study integrations over light-cone degrees of freedom in the gauge invariant effective action for high energy processes in QCD. We propose a regularization which takes into account the signature of the reggeized gluon. For a test we…

High Energy Physics - Phenomenology · Physics 2008-09-25 M. Hentschinski , J. Bartels , L. N. Lipatov

It is shown how the QED concept of a gauge-, scale- and scheme-independent one-loop effective charge can be extended directly at the diagrammatic level to QCD, thus justifying explicitly the ``naive non-abelianization'' prescription used in…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. J. Watson

By considering radiative corrections of up to 3rd-loop order, Ritus and Narozhny conjectured that the proper expansion parameter for QED in a strong constant crossed field is $g=\alpha\chi^{2/3}$, where the dynamical quantum parameter…

High Energy Physics - Theory · Physics 2020-11-04 A. A. Mironov , S. Meuren , A. M. Fedotov

Motivated by isotropization of QCD matter in the initial stages of heavy-ion collisions, we consider a system of scalar fields that undergoes a boost invariant longitudinal expansion. We use the framework of the two-particle irreducible…

High Energy Physics - Phenomenology · Physics 2024-03-19 François Gelis , Sigtryggur Hauksson