One-loop self-energy correction to the bound-electron g factor

2002 ◽  
Vol 80 (11) ◽  
pp. 1249-1254 ◽  
Author(s):  
V A Yerokhin ◽  
P Indelicato ◽  
V M Shabaev
Keyword(s):  
Numerical Evaluation ◽  
G Factor ◽  
Energy Correction ◽  
Self Energy ◽  
The One ◽  
Bound Electron

Accurate numerical evaluation of the one-loop self-energy correction to the 1s-electron g factor in H-like ions is presented to all orders in the parameter Zα. This calculation significantly improves the accuracy of theoretical values of the corresponding g factor in low- and medium-Z ions.

scholarly journals Релятивистский расчёт эффекта отдачи ядра для g-фактора состояния ^2P-=SUB=-3/2-=/SUB=- многозарядных бороподобных ионов

2020 ◽  
Vol 128 (3) ◽  
pp. 309
Author(s):  
А.В. Малышев ◽  
Д.А. Глазов ◽  
И.А. Александров ◽  
И.И. Тупицын ◽  
В.М. Шабаев
Keyword(s):  
Nuclear Recoil ◽  
Recoil Effect ◽  
G Factor ◽  
First Order ◽  
Relativistic Approach ◽  
Electron Recoil ◽  
Theoretical Predictions ◽  
Nucleus Mass ◽  
The One ◽  
Bound Electron

The nuclear recoil effect on the $^2 P_{3/2}$-state $g$ factor of B-like ions is calculated to first order in the electron-to-nucleus mass ratio $m/M$ in the range $Z=18$--$92$. The calculations are performed by means of the $1/Z$ perturbation theory. Within the independent-electron approximation, the one- and two-electron recoil contributions are evaluated to all orders in the parameter $\alpha Z$ by employing a fully relativistic approach. The interelectronic-interaction correction of first order in $1/Z$ is treated within the Breit approximation. Higher orders in $1/Z$ are partially taken into account by incorporating the screening potential into the zeroth-order Hamiltonian. The most accurate to date theoretical predictions for the nuclear recoil contribution to the bound-electron $g$ factor are obtained.

scholarly journals PERTURBATIVE ANALYSIS OF THE SEIBERG–WITTEN MAP

2002 ◽  
Vol 17 (16) ◽  
pp. 2219-2231 ◽  
Author(s):  
A. A. BICHL ◽  
J. M. GRIMSTRUP ◽  
L. POPP ◽  
M. SCHWEDA ◽  
R. WULKENHAAR
Keyword(s):  
Loop Correction ◽  
Yang Mills ◽  
Energy Correction ◽  
Self Energy ◽  
The One ◽  
Field Redefinition

We investigate the quantization of the θ-expanded noncommutative U(1) Yang–Mills action, obtained via the Seiberg–Witten map. The one-loop self-energy correction is gauge-independent. In a further paper, hep-th/0104097, we have shown that the loop correction may be renormalized via an unphysical field redefinition.

scholarly journals Theory of the two-loop self-energy correction to the g factor in nonperturbative Coulomb fields

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
B. Sikora ◽  
V. A. Yerokhin ◽  
N. S. Oreshkina ◽  
H. Cakir ◽  
C. H. Keitel ◽  
...  
Keyword(s):  
G Factor ◽  
Energy Correction ◽  
Self Energy

scholarly journals Master integrals for bipartite cuts of three-loop photon self energy

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
R. N. Lee ◽  
A. I. Onishchenko
Keyword(s):  
Spectral Density ◽  
High Energy ◽  
Elliptic Integrals ◽  
Iterated Integrals ◽  
Self Energy ◽  
Complete Elliptic Integrals ◽  
The One

Abstract We calculate the master integrals for bipartite cuts of the three-loop propagator QED diagrams. These master integrals determine the spectral density of the photon self energy. Our results are expressed in terms of the iterated integrals, which, apart from the 4m cut (the cut of 4 massive lines), reduce to Goncharov’s polylogarithms. The master integrals for 4m cut have been calculated in our previous paper in terms of the one-fold integrals of harmonic polylogarithms and complete elliptic integrals. We provide the threshold and high-energy asymptotics of the master integrals found, including those for 4m cut.

scholarly journals Separation of variables in AdS/CFT: functional approach for the fishnet CFT

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Andrea Cavaglià ◽  
Nikolay Gromov ◽  
Fedor Levkovich-Maslyuk
Keyword(s):  
Integrable Systems ◽  
Density Operator ◽  
Numerical Evaluation ◽  
Lagrangian Density ◽  
Separation Of Variables ◽  
Functional Approach ◽  
Quantum Integrable Systems ◽  
Arbitrary State ◽  
Nontrivial Coupling ◽  
The One

Abstract The major simplification in a number of quantum integrable systems is the existence of special coordinates in which the eigenstates take a factorised form. Despite many years of studies, the basis realising the separation of variables (SoV) remains unknown in $$ \mathcal{N} $$ N = 4 SYM and similar models, even though it is widely believed they are integrable. In this paper we initiate the SoV approach for observables with nontrivial coupling dependence in a close cousin of $$ \mathcal{N} $$ N = 4 SYM — the fishnet 4D CFT. We develop the functional SoV formalism in this theory, which allows us to compute non-perturbatively some nontrivial observables in a form suitable for numerical evaluation. We present some applications of these methods. In particular, we discuss the possible SoV structure of the one-point correlators in presence of a defect, and write down a SoV-type expression for diagonal OPE coefficients involving an arbitrary state and the Lagrangian density operator. We believe that many of the findings of this paper can be applied in the $$ \mathcal{N} $$ N = 4 SYM case, as we speculate in the last part of the article.

RENORMALIZATION OF FERMI VELOCITY IN A COMPOSITE TWO DIMENSIONAL ELECTRON GAS

1993 ◽  
Vol 07 (01n03) ◽  
pp. 87-94 ◽  
Author(s):  
M. WEGER ◽  
L. BURLACHKOV
Keyword(s):  
Electron Gas ◽  
Fermi Velocity ◽  
Bohr Radius ◽  
Dimensional Electron ◽  
Temperature Dependent ◽  
Two Dimensional Electron Gas ◽  
Self Energy ◽  
2D System ◽  
Dimensional Electron Gas ◽  
The One

We calculate the self-energy Σ(k, ω) of an electron gas with a Coulomb interaction in a composite 2D system, consisting of metallic layers of thickness d ≳ a 0, where a 0 = ħ2∊1/ me 2 is the Bohr radius, separated by layers with a dielectric constant ∊2 and a lattice constant c perpendicular to the planes. The behavior of the electron gas is determined by the dimensionless parameters k F a 0 and k F c ∊2/∊1. We find that when ∊2/∊1 is large (≈5 or more), the velocity v(k) becomes strongly k-dependent near k F , and v ( k F ) is enhanced by a factor of 5-10. This behavior is similar to the one found by Lindhard in 1954 for an unscreened electron gas; however here we take screening into account. The peak in v(k) is very sharp (δ k/k F is a few percent) and becomes sharper as ∊2/∊1 increases. This velocity renormalization has dramatic effects on the transport properties; the conductivity at low T increases like the square of the velocity renormalization and the resistivity due to elastic scattering becomes temperature dependent, increasing approximately linearly with T. For scattering by phonons, ρ ∝ T 2. Preliminary measurements suggest an increase in v k in YBCO very close to k F .

On the Self-Energy of a Bound Electron

1949 ◽  
Vol 75 (3) ◽  
pp. 388-398 ◽  
Author(s):  
Norman M. Kroll ◽  
Willis E. Lamb
Keyword(s):  
The Self ◽  
Self Energy ◽  
Bound Electron
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