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We develop a systematic multi-local expansion of the Polchinski-Wilson exact renormalization group (ERG) equation. Integrating out explicitly the non local interactions, we reduce the ERG equation obeyed by the full interaction functional…

Condensed Matter · Physics 2009-10-31 Pascal Chauve , Pierre Le Doussal

We study quantum electrodynamics (QED) in the light-front dynamical form by using null-plane causal perturbation theory. We establish the equivalence with instant dynamics for the scattering processes, whose normalization allows to…

High Energy Physics - Theory · Physics 2022-08-17 O. A. Acevedo , B. M. Pimentel

The present status of quantum electrodynamics (QED) theory of heavy few-electron ions is reviewed. The theoretical results are compared with available experimental data. A special attention is focused on tests of QED at strong fields and on…

Atomic Physics · Physics 2009-11-13 V. M. Shabaev , A. N. Artemyev , D. A. Glazov , I. I. Tupitsyn , V. A. Volotka , V. A. Yerokhin

We demonstrate our simple strategy for renormalization with QED at one-loop level, basing on an elaboration of the effective field theory philosophy. No artificial regularization or deformation of the original theory is introduced here and…

High Energy Physics - Theory · Physics 2014-11-20 Ji-Feng Yang , Zhao-Ting Pan

Cavity quantum electrodynamics (QED) studies the interaction between a quantum emitter and a single radiation-field mode. When an atom is in strong coupling with a cavity mode1,2, it is possible to realize key quantum information processing…

Quantum Physics · Physics 2009-11-13 K. Hennessy , A. Badolato , M. Winger , D. Gerace , M. Atature , S. Gulde , S. Falt , E. L. Hu , A. Imamoglu

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

The ability of entanglement renormalization (ER) to generate a proper real-space renormalization group (RG) flow in extended quantum systems is analysed in the setting of harmonic lattice systems in D=1 and D=2 spatial dimensions. A…

Quantum Physics · Physics 2010-03-05 G. Evenbly , G. Vidal

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

The purpose of the present thesis is the implementation of symmetries in the Wilsonian Exact Renormalization Group (ERG) approach. After recalling how the ERG can be introduced in a general theory (i.e. containing both bosons and fermions,…

High Energy Physics - Theory · Physics 2007-05-23 F. Vian

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 quantum electrodynamics (QED) corrections are directly incorporated into the most accurate treatment of the correlation corrections for ions with complex electronic structure of interest to metrology and tests of fundamental physics. We…

Atomic Physics · Physics 2016-12-21 I. I. Tupitsyn , M. G. Kozlov , M. S. Safronova , V. M. Shabaev , V. A. Dzuba

In arXiv:1609.03493, the authors extended the exact renormalization group (ERG) to arbitrary wave-functionals in quantum field theory (QFT). Applying this formalism, we show that the ERG flow of density matrices is given by a Lindblad…

High Energy Physics - Theory · Physics 2024-10-23 Samuel Goldman , Nima Lashkari , Robert G. Leigh

In this work we apply Thompson's method (of the dimensions) to study the quantum electrodynamics (QED). This method can be considered as a simple and alternative way to the renormalisation group (R.G) approach and when applied to QED…

High Energy Physics - Theory · Physics 2007-05-23 Claudio Nassif , P. R. Silva

In this work we present the study of the renormalizability of the Generalized Quantum Electrodynamics ($GQED_{4}$). We begin the article by reviewing the on-shell renormalization scheme applied to $GQED_{4}$. Thereafter, we calculate the…

High Energy Physics - Theory · Physics 2012-12-17 R. Bufalo , B. M. Pimentel , G. E. R. Zambrano

An exact evolution equation, the functional generalization of the Callan-Symanzik method, is given for the effective action of QED where the electron mass is used to turn the quantum fluctuations on gradually. The usual renormalization…

High Energy Physics - Theory · Physics 2009-11-07 J. Alexandre , J. Polonyi , K. Sailer

The subjects which are discussed in this Thesis include: the self energy of a bound electron and the spin-dependence of QED corrections in bound systems, convergence acceleration techniques, and resummation methods for divergent series with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulrich D. Jentschura

Circuit Quantum Electrodynamics (cQED), the study of the interaction between superconducting circuits behaving as artificial atoms and 1-dimensional transmission-line resonators, has shown much promise for quantum information processing…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 Lev S. Bishop

The Renormalization Group Flow Equations of the Scalar-QED model near Planck's scale are computed within the framework of the average effective action. Exact Flow Equations, corrected by Einstein Gravity, for the running self-interacting…

High Energy Physics - Theory · Physics 2009-10-30 Gentil O. Pires

Quantum Electrodynamics (QED) has been so successful a theory that it is taken as a model for the production of further quantum theories. However, when the prescription for quantising electromagnetic interactions that so successfully…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sarah B. M. Bell , John P. Cullerne , Bernard M. Diaz

This paper discusses an attempt to develop a mathematically rigorous theory of Quantum Electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that the Coulomb forces are carried by…

Quantum Physics · Physics 2019-01-07 Jan Naudts