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Self-energy corrections to the energy levels of bound electrons are calculated in the framework of path integrals. We arrive at the full fermion propagator, using methods of functional integrals, in the form of Schwinger-Dyson equation…

原子物理 · 物理学 2023-09-28 Sreya Banerjee , Zoltán Harman

A new way to write the massive scalar and fermion propagators on a background of a weak gauge field is presented. They are written in a form that is manifestly gauge-covariant up to several additional terms that can be written as boundary…

高能物理 - 理论 · 物理学 2016-02-03 Adam Latosiński

Diagrammatic perturbation theory is a powerful tool for the investigation of interacting many-body systems, the self-energy operator $\Sigma$ encoding all the variety of scattering processes. In the simplest scenario of correlated electrons…

强关联电子 · 物理学 2020-07-22 Y. Pavlyukh , G. Stefanucci , R. van Leeuwen

We develop worldline numerical methods, which combine string-inspired with Monte-Carlo techniques, for the computation of the vacuum polarization tensor in inhomogeneous background fields for scalar QED. The algorithm satisfies the Ward…

高能物理 - 唯象学 · 物理学 2013-05-29 Holger Gies , Lars Roessler

We study the form factors of vector mesons using a covariant fermion field theory model in $(3+1)$ dimensions. Performing a light-front calculation in the $q^+ =0$ frame in parallel with a manifestly covariant calculation, we note the…

高能物理 - 唯象学 · 物理学 2009-11-07 Bernard L. G. Bakker , Ho-Meoyng Choi , Chueng-Ryong Ji

The light-front (LF) canonical quantization of quantum chromodynamics in covariant gauge is discussed. The Dirac procedure is used to eliminate the constraints in the gauge-fixed front form theory quantum action and to construct the LF…

高能物理 - 唯象学 · 物理学 2009-09-11 Prem P. Srivastava , Stanley J. Brodsky

Light-front formulations of quantum field theories have many advantages for computing electroweak matrix elements of strongly interacting systems and other quantities that are used to study hadronic structure. The theory can be formulated…

高能物理 - 唯象学 · 物理学 2023-04-14 Wayne Polyzou

We provide a compendium of techniques that can be used to compute $O(N_f\alpha^2)$ corrections to low-energy electroweak processes. Specifically, these are the 2-loop electroweak corrections containing a light fermion loop. It is shown that…

高能物理 - 唯象学 · 物理学 2007-05-23 R. Akhoury , Paresh Malde , Robin G. Stuart

We investigate the possibility of Lorentz and CPT violations in the photon sector, of the Chern-Simons form, be induced by radiative corrections arising from the Lorentz and CPT non-invariant fermionic sector of an extended version of QED.…

高能物理 - 理论 · 物理学 2011-07-19 O. A. Battistel , G. Dallabona

We demonstrate the equivalence of the light-front and equal-time formulations of pionic corrections to nucleon properties. As a specific example, we consider the self-energy of a nucleon dressed by pion loops, for both pseudovector and…

核理论 · 物理学 2012-06-13 Chueng-Ryong Ji , W. Melnitchouk , A. W. Thomas

We scrutinize the diagrammatic perturbation theory of noninteracting electrons in a random potential with the aim to accomplish a consistent comprehensive theory of quantum diffusion. Ward identity between the one-electron self-energy and…

无序系统与神经网络 · 物理学 2017-01-17 V. Janiš , J. Kolorenč

The method of flow equations is applied to QED on the light front. Requiring that the particle number conserving terms in the Hamiltonian are considered to be diagonal and the other terms off-diagonal an effective Hamiltonian is obtained…

高能物理 - 理论 · 物理学 2007-05-23 Elena Gubankova

An efficient way to calculate one-loop counterterms within the Feynman diagrammatic approach and dimensional regularization is to expand the propagators in the integrands of the Feynman integrals around vanishing external momentum. In this…

高能物理 - 唯象学 · 物理学 2019-09-04 Christian F. Steinwachs

We describe an efficient practical procedure for enumerating and regrouping vacuum Feynman graphs of a given order in perturbation theory. The method is based on a combination of Schwinger-Dyson equations and the two-particle-irreducible…

高能物理 - 唯象学 · 物理学 2009-11-07 K. Kajantie , M. Laine , Y. Schroder

The matrix element squared for Compton scattering of a heavy photon on a longitudinally polarized electron is calculated. The gauge-invariant tensor structure of the heavy photon polarization is considered, assuming that all kinematical…

高能物理 - 唯象学 · 物理学 2009-10-30 I. Akushevich , A. B. Arbuzov , E. A. Kuraev

Using the hard-thermal-loop (HTL) resummation in real-time formalism, we study the next-to-leading order (NLO) quark self-energy and corresponding NLO dispersion laws. In NLO, we have replaced all the propagators and vertices with the…

高能物理 - 唯象学 · 物理学 2023-05-24 Sumit , Najmul Haque , Binoy Krishna Patra

The light-front dynamics is an efficient approach to study of field theory and of relativistic composite systems (nuclei at relativistic relative nucleon momenta, hadrons in the quark models). The explicitly covariant version of this…

核理论 · 物理学 2007-05-23 V. A. Karmanov , J. Carbonell

We present the analytic evaluation of the second-order corrections to the massive form factors, due to two-loop vertex diagrams with a vacuum polarization insertion, with exact dependence on the external and internal fermion masses, and on…

高能物理 - 唯象学 · 物理学 2024-01-24 Taushif Ahmed , Giulio Crisanti , Federico Gasparotto , Syed Mehedi Hasan , Pierpaolo Mastrolia

Two-photon exchange (TPE) contributions to elastic electron-proton scattering in the forward regime and in leading log $\sim t\ln|t|$ approximation in the momentum transfer $|t|$ are considered. The imaginary part of TPE amplitude in these…

核理论 · 物理学 2014-12-03 Mikhail Gorchtein

I present a unified formulation of anomalous contributions in quantum field theories by calculating directly the effective action using the background field and covariant-derivative expansion technique. I use this method to determine…

高能物理 - 唯象学 · 物理学 2007-05-23 Lai-Him Chan