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The derivation of a convergent series representation for the quantum electrodynamic effective action obtained by two of us (S.R.V. and D.R.L.) in [Can. J. Phys. vol. 71, p. 389 (1993)] is reexamined. We present more details of our original…

High Energy Physics - Theory · Physics 2009-11-07 Ulrich D. Jentschura , Holger Gies , Sree Ram Valluri , Darrell R. Lamm , Ernst Joachim Weniger

We compute the longitudinal electrical conductivity in the presence of strong background magnetic field in complete leading order of perturbative QCD, based on the assumed hierarchy of scales $\alpha_s eB\ll (m_q^2,T^2)\ll eB$. We formulate…

High Energy Physics - Phenomenology · Physics 2017-04-20 Koichi Hattori , Shiyong Li , Daisuke Satow , Ho-Ung Yee

This work provides a relativistic, digital quantum simulation scheme for both $2+1$ and $3+1$ dimensional quantum electrodynamics (QED), based on a discrete spacetime formulation of theory. It takes the form of a quantum circuit, infinitely…

Quantum Physics · Physics 2024-10-30 Nathanaël Eon , Giuseppe Di Molfetta , Giuseppe Magnifico , Pablo Arrighi

Consider a 2D composites with non-overlapping equal inclusions imbedded in a host material of the normalized unit conductivity. The conductivity of inclusions takes two values $\sigma_1$ and $\sigma_2$ with the probabilities $p$ and $1-p$,…

Mathematical Physics · Physics 2017-12-18 Vladimir Mityushev

We reconsider the two-loop electron self-energy in quantum electrodynamics. We present a modern calculation, where all relevant two-loop integrals are expressed in terms of iterated integrals of modular forms. As boundary points of the…

High Energy Physics - Phenomenology · Physics 2024-08-22 Ina Hönemann , Kirsten Tempest , Stefan Weinzierl

We derive a formula for the electrical conductivity of solids that includes relaxation, dissipation, and quantum coherence. The derivation is based on the Kubo formula, with a Mori memory function approach to include dissipation effects at…

Materials Science · Physics 2021-10-07 Brett R. Green , Maria Troppenz , Santiago Rigamonti , Claudia Draxl , Jorge O. Sofo

The nonequilibrium time evolution of a quantum dot is studied by means of dynamic equations for time-dependent Greens functions derived from a two-particle-irreducible (2PI) effective action for the Anderson impurity model. Coupling the dot…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 Sebastian Bock , Alexander Liluashvili , Thomas Gasenzer

The two-loop (Euler-Heisenberg-type) effective action for N = 2 supersymmetric QED is computed using the N = 1 superspace formulation. The effective action is expressed as a series in supersymmetric extensions of F^{2n}, where n=2,3,...,…

High Energy Physics - Theory · Physics 2009-11-10 S. M. Kuzenko , I. N. McArthur

Dynamics of high energy scattering in Quantum Chromodynamics (QCD) are primarily probed through detector energy flow correlations. One important example is the Energy-Energy Correlator (EEC), whose back-to-back limit probes correlations of…

High Energy Physics - Phenomenology · Physics 2023-01-11 Hao Chen , Xinan Zhou , Hua Xing Zhu

The quark form factor is known to exponentiate within the framework of dimensionally regularized perturbative QCD. The logarithm of the form factor is expressed in terms of integrals over the scale of the running coupling. I show that these…

High Energy Physics - Phenomenology · Physics 2009-10-31 Lorenzo Magnea

Using the pinch technique, we show how to construct the QCD effective charge to all orders.

High Energy Physics - Phenomenology · Physics 2009-11-07 D. Binosi , J. Papavassiliou

We study the quantum jumps of physical quantities in a strongly correlated many electron systems based on a new p-adic functional integral approach. It is shown that a description in terms of the p-adic numbers leads to the fractal behavior…

Strongly Correlated Electrons · Physics 2011-11-29 V. Zharkov

We derive a general effective action for quark matter at nonzero temperature and/or nonzero density. For this purpose, we distinguish irrelevant from relevant quark modes, as well as hard from soft gluon modes by introducing two separate…

Nuclear Theory · Physics 2014-11-18 Philipp T. Reuter , Qun Wang , Dirk H. Rischke

We study the Heisenberg-Euler effective action in constant electromagnetic fields $\bar{F}$ for QED with $N$ charged particle flavors of the same mass and charge $e$ in the large $N$ limit characterized by sending $N\to\infty$ while keeping…

High Energy Physics - Theory · Physics 2024-02-26 Felix Karbstein

We study the production amplitude for the reaction NN->NNpi up to next--to--leading order in chiral perturbation theory using a counting scheme that takes into account the large scale introduced by the initial momentum. In particular we…

Nuclear Theory · Physics 2009-11-11 V. Lensky , V. Baru , J. Haidenbauer , C. Hanhart , A. E. Kudryavtsev , U. -G. Meißner

Three--loop contributions to massive QED vacuum polarization are evaluated by a combination of analytical and numerical techniques. The first three Taylor coefficients, at small $q^2$, are obtained analytically, using $d$\/--dimensional…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. A. Baikov , D. J. Broadhurst

The structure of linear energy divergences is analysed on the example of one graph to 3-loop order. Such dangerous divergences do cancel when all graphs are added, but next to leading divergences do not cancel out.

High Energy Physics - Theory · Physics 2015-05-27 A. Andrasi

We revisit the expression for the conductance of a general nanostructure -- such as a quantum point contact -- as obtained from the linear response theory. We show that the conductance represents the strength of the Drude singularity in the…

Materials Science · Physics 2007-05-23 P. Bokes , R. W. Godby

It is explained how first-quantized worldline path integrals can be used as an efficient alternative to Feynman diagrams in the calculation of QED amplitudes and effective actions. The examples include the one-loop photon splitting…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christian Schubert

Perturbative cross-sections in QCD are beset by logarithms of kinematic invariants, whose arguments vanish when heavy particles are produced near threshold. Contributions of this type often need to be summed to all orders in the coupling,…

High Energy Physics - Phenomenology · Physics 2020-01-08 N. Bahjat-Abbas , D. Bonocore , J. Sinninghe Damsté , E. Laenen , L. Magnea , L. Vernazza , C. D. White