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Related papers: 3-point off-shell vertex in scalar QED in arbitrar…

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We make an explicit link between the cubic interactions of off-shell fields and the on-shell three-point amplitudes in four dimensions. Both the cubic interactions and the on-shell three-point amplitudes had been independently classified in…

High Energy Physics - Theory · Physics 2016-08-24 Eduardo Conde , Euihun Joung , Karapet Mkrtchyan

We derive a compact Yennie gauge representation for the off-shell one-loop electron-photon vertex, and discuss it properties. This expression is explicitly infrared finite, and it has proved to be extremely useful in multiloop calculations…

High Energy Physics - Phenomenology · Physics 2009-01-07 Michael I. Eides , Valery A. Shelyuto

We generalize the result of our recent paper on the massless single off-shell scalar box integral to the case of two non-adjacent end points off the light cone. An analytic result in $d=4-2\varepsilon$ dimensions is established in terms of…

High Energy Physics - Phenomenology · Physics 2023-05-11 Juliane Haug , Fabian Wunder

We investigate spherically symmetric non topological solitons in electrodynamics with a scalar field self interaction U ~|\psi| taken from the complex signum-Gordon model. We find Q-balls for small absolute values of the total electric…

High Energy Physics - Theory · Physics 2009-02-20 H. Arodź , J. Lis

We carry out a detailed study of the three-point fermion-photon interaction vertex at one loop order for massive fermions in reduced quantum electrodynamics. This calculation is carried out in arbitrary covariant gauges and space-time…

High Energy Physics - Phenomenology · Physics 2023-10-17 Victor Miguel Banda Guzmán , Adnan Bashir , Luis Albino , Dania Rodríguez-Tzintzun

We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{\rm NS}^+, P_{\rm NS}^-$ and $P_{\rm NS}^{\rm s}$ in QCD in the $\overline{\sf MS}$ scheme by using the traditional method of…

High Energy Physics - Phenomenology · Physics 2021-09-15 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

We evaluate the analytic expression for the one-loop fermion-boson vertex in massless QED3 in an arbitrary covariant gauge. The result is written in terms of elementary functions of its momenta. The vertex is decomposed into a longitudinal…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bashir , A. Kizilersu , M. R. Pennington

Quantum photon effects in vacuum provide an interesting setting to test quantum electrodynamics, serving as a source for predictions about physics beyond the Standard Model. In this paper, we investigate these effects by calculating the…

High Energy Physics - Theory · Physics 2026-02-27 L. C. T. Brito , J. C. C. Felipe , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

The two-loop three-gluon vertex is calculated in an arbitrary covariant gauge, in the limit when two of the gluons are on the mass shell. The corresponding two-loop results for the ghost-gluon vertex are also obtained. It is shown that the…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. I. Davydychev , P. Osland

We consider the problem of designing an Ansatz for the fermion-photon vertex function, using three-dimensional quantum electrodynamics as a test case. In many existing studies, restrictions have been placed on the form of the vertex Ansatz…

High Energy Physics - Theory · Physics 2009-08-11 C. J. Burden , P. C. Tjiang

A number of exact results for two-loop three-point diagrams with massless internal particles and arbitrary (off-shell) external momenta are presented. Divergent contributions are calculated in the framework of dimensional regularization.

High Energy Physics - Phenomenology · Physics 2009-10-28 N. I. Ussyukina , A. I. Davydychev

We derive perturbative constraints on the transverse part of the fermion-boson vertex in massive QED3 through its one loop evaluation in an arbitrary covariant gauge. Written in a particular form, these constraints naturally lead us to the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Bashir , A. Raya

Negative dimensional integration method (NDIM) seems to be a very promising technique for evaluating massless and/or massive Feynman diagrams. It is unique in the sense that the method simultaneously gives solutions in different regions of…

High Energy Physics - Theory · Physics 2007-05-23 Alfredo T. Suzuki , Alexandre G. M. Schmidt

We recursively construct tree-level electromagnetic and gravitational Compton amplitudes of higher-spin massive particles by the all-line transverse momentum shift. With three-point amplitude as input, we demonstrate that higher-point…

High Energy Physics - Theory · Physics 2025-06-04 Yohei Ema , Ting Gao , Wenqi Ke , Zhen Liu , Ishmam Mahbub

This paper aims to give explicitly all non-linear vacuum solutions to our non-linear field equations, and to define in a coordinate free manner the important subclass of non-linear solutions, which we call almost photon-like. By means of a…

patt-sol · Physics 2007-05-23 S. Donev , M. Tashkova

The analytical result for the six-photon helicity amplitudes in scalar QED is presented. To compute the loop, a recently developed method based on multiple cuts is used. The amplitudes for QED and $QED^{\caln=1}$ are also derived using the…

High Energy Physics - Phenomenology · Physics 2009-11-18 C. Bernicot , J. -Ph. Guillet

Coherent two-dimensional spectroscopy in IR or visible region is very effective for studying correlations, energy relaxation/transfer pathways in complex multi-chromophore or multi-mode systems. However it is usually restricted up to…

Chemical Physics · Physics 2020-09-15 Darius Abramavicius

We derive an explicit formula for the low energy limits of the one-loop, on-shell, massive N-photon amplitudes, for arbitrary N and all helicity assignments, in scalar and spinor QED. The two-loop corrections to the same amplitudes are…

High Energy Physics - Theory · Physics 2009-11-10 Louise C. Martin , Christian Schubert , Victor M. Villanueva Sandoval

We study the ultraviolet problem for quantum electrodynamics on a three dimensional torus. We start with the lattice gauge theory on a toroidal lattice and seek to control the singularities as the lattice spacing is taken to zero. This is…

Mathematical Physics · Physics 2007-05-23 J. Dimock

In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree…

High Energy Physics - Theory · Physics 2023-03-14 Humberto Gomez , Renann Lipinski Jusinskas , Cristhiam Lopez-Arcos , Alexander Quintero Velez