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We study numerically the first order radiative corrections to the self-energy, in covariant loop quantum gravity. We employ the recently developed 'sl2cfoam-next' spinfoam amplitudes library, and some original numerical methods. We analyze…

General Relativity and Quantum Cosmology · Physics 2022-09-29 Pietropaolo Frisoni , Francesco Gozzini , Francesca Vidotto

We investigate a specific set of two-loop self-energy corrections involving squared decay rates and point out that their interpretation is highly problematic. The corrections cannot be interpreted as radiative energy shifts in the usual…

High Energy Physics - Phenomenology · Physics 2008-11-26 U. D. Jentschura , J. Evers , C. H. Keitel , K. Pachucki

We study the radiative corrections of the noncommutative QED at the one-loop level. A correction of the magnetic dipole moment due to the noncommutativity are evaluated. As in the ordinary QED, IR divergence is shown to vanish when we…

High Energy Physics - Theory · Physics 2007-05-23 Ki Boum Eom , Sung-Shig Kang , Bum-Hoon Lee , Chanyong Park

We study QED corrections to operator matrix elements involving heavy composite particles (e.g., heavy-mesons, nuclei, and atoms). We define a new notion of reducible and irreducible graphs which is useful for systems with many discrete…

High Energy Physics - Phenomenology · Physics 2025-09-19 Ryan Plestid , Mark B. Wise

We consider a process of quasielastic $e\mu$ large-angle scattering at high energies with radiative corrections up to a two-loop level. A lowest order radiative correction arising both from one-loop virtual photon emission and a real soft…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. V. Bytev , E. A. Kuraev , B. G. Shaikhatdenov

A systematic formalism for quantum electrodynamics in a classical uniform magnetic field is discussed. The first order radiative correction to the ground state energy of an electron is calculated. This then leads to the anomalous magnetic…

High Energy Physics - Theory · Physics 2007-05-23 Jun Suzuki

Within a fully relativistic framework, the one-loop self-energy correction for a bound electron is derived and extended to incorporate the effects of external thermal radiation. In a series of previous works, it was shown that in quantum…

Atomic Physics · Physics 2026-03-17 M. A. Reiter , D. A. Solovyev , A. A. Bobylev , D. A. Glazov , T. A. Zalialiutdinov

In this paper we investigate higher-order corrections to the energies of bound states in hydrogen subjected to the external blackbody radiation field. In particular, within the framework of thermal quantum electrodynamics and $S$-matrix…

Atomic Physics · Physics 2023-10-10 T. Zalialiutdinov , D. Solovyev

Perturbative quantum gravity formalism is applied to compute the lowest order corrections to the classical spatially flat cosmological FLRW solution (for the radiation). The presented approach is analogous to the approach applied to compute…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Bogusław Broda

The first quantum corrections to the free energy for an eternal 4-dimensional black hole is investigated at one-loop level, in the large mass limit of the black hole, making use of the conformal techniques related to the optical metric. The…

High Energy Physics - Theory · Physics 2010-04-06 Guido Cognola , Luciano Vanzo , Sergio Zerbini

We consider radiative corrections to false vacuum decay within the framework of quantum mechanics for the general potential of the form 1/2 M q^2 (q-A)(q-B), where M , A and B are arbitrary parameters. For this type of potential we provide…

High Energy Physics - Phenomenology · Physics 2017-08-15 M. A. Bezuglov , A. I. Onishchenko

This work is a collection of initial calculations and formal considerations within the Salpeter-Sucher exact equal-time relativistic quantum electrodynamics framework. The calculations are carried out as preparation for the computation of…

Chemical Physics · Physics 2024-06-11 Adám Margócsy , Edit Mátyus

We deduce, in a general background gauge, the counter-term Lagrangian for pure quantum gravity to one-loop order. As an application, we evaluate the leading quantum correction to the classical gravitational potential, generated by the…

High Energy Physics - Theory · Physics 2022-09-13 F. T. Brandt , J. Frenkel , D. G. C. McKeon

We introduce a $Sim(2)$ invariant dimensional regularization of loop integrals. Then we compute the one loop quantum corrections to the photon self energy, electron self energy and vertex in the Electrodynamics sector of the Very Special…

High Energy Physics - Theory · Physics 2018-07-24 Jorge Alfaro

A low-energy perturbation theory is developed from the nonperturbative framework of covariant Loop Quantum Gravity (LQG) by employing the background field method. The resulting perturbation theory is a 2-parameter expansion in the…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Muxin Han

We study the 2+1 dimensional abelian Higgs model defined on a spatial torus at critical self-coupling. We propose a method to compute the quantum contribution to the mass of the ANO vortex and to multi-vortex energies. The one-loop quantum…

High Energy Physics - Theory · Physics 2015-07-10 Yago Ferreirós , Antonio González-Arroyo

We calculate the one-loop electron self-energy correction of order $\alpha\,(Z\,\alpha)^5$ to the bound electron $g$ factor. Our result is in agreement with the extrapolated numerical value and paves the way for the calculation of the…

Atomic Physics · Physics 2017-09-13 Krzysztof Pachucki , Mariusz Puchalski

We discuss relativistic and radiative corrections to the energies of quantum cyclotron states. In particular, it is shown analytically that the leading logarithmic radiative (self-energy) correction to the bound-state energy levels of…

High Energy Physics - Phenomenology · Physics 2025-04-22 Ulrich D. Jentschura

QED corrections to the $g$ factor of Li-like and B-like ions in a wide range of nuclear charges are presented. Many-electron contributions as well as radiative effects on the one-loop level are calculated. Contributions resulting from the…

Atomic Physics · Physics 2020-07-15 H. Cakir , V. A. Yerokhin , N. S. Oreshkina , B. Sikora , I. I. Tupitsyn , C. H. Keitel , Z. Harman

In this study, we systematically calculate one-loop corrections to the Lorentz-violating vertices within the framework of CPT-odd Quantum Electrodynamics, encompassing scalar and photon fields in arbitrary gauge. Additionally, we ascertain…

High Energy Physics - Theory · Physics 2024-02-14 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov
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