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We extend the classical Euler-Maclaurin expansion to sums over multidimensional lattices that involve functions with algebraic singularities. This offers a tool for the precise quantification of the effect of microscopic discreteness on…

Numerical Analysis · Mathematics 2022-07-13 Andreas A. Buchheit , Torsten Keßler

A crucial problem in quantum cosmology is a careful analysis of the one-loop semiclassical approximation for the wave function of the universe, after an appropriate choice of mixed boundary conditions. The results for Euclidean quantum…

High Energy Physics - Theory · Physics 2007-05-23 Giampiero Esposito , Alexander Yu. Kamenshchik

We present the analytic evaluation of the two-loop corrections to the amplitude for the scattering of four fermions in Quantum Electrodynamics, $f^- + f^+ + F^- + F^+ \to 0$, with $f$ and $F$ representing a massless and a massive lepton,…

We report on a result on quantum electrodynamics on a three dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spacing. The result is that the renormalized partition function…

Mathematical Physics · Physics 2022-05-04 J. Dimock

The transition from formulations with extra dimensions to Kaluza-Klein theories, aimed at extending the Standard Model, bears the ingredients of hidden symmetries and the Kaluza-Klein mechanism for mass generation. We explore these…

High Energy Physics - Theory · Physics 2018-01-18 H. Novales-Sánchez , J. J. Toscano

We consider a one-dimensional effective quantum electrodynamics (QED) model of the relativistic hydrogen-like atom using delta-potential interactions. We discuss the general exact theory and the Hartree-Fock approximation. The present…

Mathematical Physics · Physics 2023-06-27 Timothée Audinet , Julien Toulouse

In this paper we review the calculations that are needed to obtain the bosonic and fermionic effective potential at finite temperature and volume (at one loop). The calculations at finite volume correspond to $S^1\times R^d$ topology. These…

Mathematical Physics · Physics 2009-08-28 V. K. Oikonomou

On account of its application to the present and future analysis of the virtual photon correction to the hadronic properties by means of lattice QCD simulation, we initiate the study of the finite size scaling effect on the QED correction…

High Energy Physics - Phenomenology · Physics 2008-12-18 Masashi Hayakawa , Shunpei Uno

We compute the one-loop \beta-functions describing the renormalisation of the coupling constant \lambda and the frequency parameter \Omega for the real four-dimensional duality-covariant noncommutative \phi^4-model, which is renormalisable…

High Energy Physics - Theory · Physics 2009-11-10 Harald Grosse , Raimar Wulkenhaar

We study charged massive scalar field perturbations on the rotating black hole (BH) background of Einstein-Maxwell-Dilaton-Axion (EMDA) theory, known as the Kerr-EMDA BH. Starting from the gauge-covariant Klein-Gordon equation (KGE), we…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Nazım Sertkan , İzzet Sakallı

In this paper we calculate the divergent part of the one loop effective action for QED on noncommutative space using the background field method. The effective action is obtained up to the second order in the noncommutativity parameter…

High Energy Physics - Theory · Physics 2007-05-23 Maja Buric , Voja Radovanovic

The QED renormalization is restudied by using a mass-dependent subtraction which is performed at a time-like renormalization point. The subtraction exactly respects necessary physical and mathematical requirements such as the gauge…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

The Kaluza-Klein theory and Randall-Sundrum theory are examined comparatively, with focus on the behavior of the five dimensional (Dirac) fermion in the dimensional reduction to four dimensions. They are properly treated using the Cartan…

High Energy Physics - Theory · Physics 2009-11-07 Shoichi Ichinose

We consider a higher-derivative extension of QED modified by the addition of a gauge-invariant dimension-6 kinetic operator in the U(1) gauge sector. The Feynman diagrams at one-loop level are then computed. The modification in the spin-1…

High Energy Physics - Theory · Physics 2016-08-29 Rodrigo Turcati , Mário Júnior Neves

Cavity quantum electrodynamics (QED) generalizations of time-dependent (TD) density functional theory (DFT) and equation-of-motion (EOM) coupled-cluster (CC) theory are used to model small molecules strongly coupled to optical cavity modes.…

Chemical Physics · Physics 2023-07-19 Marcus D. Liebenthal , Nam Vu , A. Eugene DePrince

We show that the bound from the electroweak data on the size of extra dimensions accessible to all the standard model fields is rather loose. These "universal" extra dimensions could have a compactification scale as low as 300 GeV for one…

High Energy Physics - Phenomenology · Physics 2014-11-17 Thomas Appelquist , Hsin-Chia Cheng , Bogdan A. Dobrescu

Condensed matter systems provide alternative `vacua' exhibiting emergent low-energy properties drastically different from those of the standard model. A case in point is the emergent quantum electrodynamics (QED) in the fractionalized…

Strongly Correlated Electrons · Physics 2021-09-15 Salvatore D. Pace , Siddhardh C. Morampudi , Roderich Moessner , Chris R. Laumann

We study consequences of Lorentz symmetry violation in a z=2 Lifshitz extension of QED in 3+1 dimensions, and we discuss non-trivial effects of quantization. Because of the specific power of space momentum in propagators of the model,…

High Energy Physics - Theory · Physics 2015-06-16 Jean Alexandre , James Brister

The complete 2-loop quantum electrodynamic corrections to the muon lifetime are calculated in the Fermi theory. The exact result for the effects of virtual and real photons, virtual electrons, muons as well as e+e- pair creation is Delta…

High Energy Physics - Phenomenology · Physics 2008-11-26 Timo van Ritbergen , Robin G. Stuart

Models with an orbifolded universal extra dimension receive important loop-induced corrections to the masses and couplings of Kaluza-Klein (KK) particles. The dominant contributions stem from so-called boundary terms which violate KK…

High Energy Physics - Phenomenology · Physics 2018-04-18 Ayres Freitas , Kyoungchul Kong , Daniel Wiegand
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