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The Schwinger equations of QED are rewritten in three different ways as integral equations involving functional derivatives, which are called weak field, strong field, and SCF quantum electrodynamics. The perturbative solutions of these…

Atomic Physics · Physics 2007-05-23 Christian Brouder

The consistent construction of scattering amplitudes for processes with off-shell initial partons and involving electro-weak interactions is addressed.

High Energy Physics - Phenomenology · Physics 2019-02-06 A. van Hameren

The applicability of the background field method in spontaneously broken gauge theories is examined with new features emphasized. An explicit one loop analysis in the electroweak theory shows that the method can be consistently implemented…

High Energy Physics - Phenomenology · Physics 2009-09-25 Xiaoyuan Li , Yi Liao

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 2008-11-26 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

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

We have investigated a system with two sets of staggered fermions with charges 1 and -1/2 coupling to a non-compact U(1) gauge field in 4 dimensions. The model exhibits breaking of chiral symmetries of both fermions at different values of…

High Energy Physics - Lattice · Physics 2009-10-22 Arifa Ali Khan

Non-homogeneous gauge ground state solutions in a six-dimensional gauge model in the presence of non-zero extended fermionic charge density fluctuations are reviewed and fully reinterpreted.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Syska

Various models of charged particles interacting with a quantized, ultraviolet cutoff radiation field (but not with each other) are investigated. Upper and lower bounds are found for the self- or ground state-energies without mass…

Mathematical Physics · Physics 2007-05-23 Elliott Lieb , Michael Loss

The apparent dependence of nuclear matter observables on off-shell properties of the two-nucleon potential is re-examined in the context of the effective field theory (EFT) approach. Finite density (thermodynamic) observables are invariant…

Nuclear Theory · Physics 2009-11-06 R. J. Furnstahl , H. -W. Hammer , Negussie Tirfessa

1. Introduction 2. Massless QCD and Scale Invariance 3. The Renormalisation Group and Asymptotic Freedom 4. More on the Running Coupling 5. Application to Hard Processes 5.1 $R_{e^+e^-}$ and Related Processes 5.2 The Final State in $e^+e^-$…

High Energy Physics - Phenomenology · Physics 2009-11-07 Guido Altarelli

Within the framework of the recently proposed Taylor-Lagrange regularization procedure, we reanalyze the calculation of radiative corrections in $QED$ at next to leading order. Starting from a well defined local bare Lagrangian, the use of…

High Energy Physics - Theory · Physics 2023-01-26 Jean-François Mathiot

The possibility of constructing charged particles in gauge theories has long been the subject of debate. In the context of QED we have shown how to construct operators which have a particle description. In this paper we further support this…

High Energy Physics - Phenomenology · Physics 2009-11-07 Emili Bagan , Martin Lavelle , David McMullan , Shogo Tanimura

We review two different noncommutative gauge models generalizing approaches which lead to renormalizable scalar quantum field theories. One of them implements the crucial IR damping of the gauge field propagator in the so-called ``soft…

High Energy Physics - Theory · Physics 2011-05-18 Michael Wohlgenannt

In this paper we discuss the universality of the renormalization of the gauge coupling constant in the quantum electrodynamics coupled to the Einstein's gravity in the framework of effective field theory in an arbitrary gauge. We observe…

High Energy Physics - Theory · Physics 2021-12-15 L. Ibiapina Bevilaqua , A. C. Lehum , Huan Souza

Renormalizability of the (minimal) single-fermion QED extension is investigated at all orders of perturbation theory in the framework of algebraic renormalization, a regularization-independent method. Relative to the standard QED, new…

High Energy Physics - Theory · Physics 2015-06-04 O. M. Del Cima , J. M. Fonseca , D. H. T. Franco , A. H. Gomes , O. Piguet

The soft photon theorem in U(1) gauge theories with only massless charged particles has recently been shown to be the Ward identity of an infinite-dimensional asymptotic symmetry group. This symmetry group is comprised of gauge…

High Energy Physics - Theory · Physics 2015-06-10 Daniel Kapec , Monica Pate , Andrew Strominger

In a classical field model involving extended dual electromagnetic fields quark-like particles are shown to have fractional charges and a confining energy that provides an asymptotically free spherical surface. A suggestion is made for…

High Energy Physics - Theory · Physics 2008-07-22 Harry Schiff

We consider a general weak perturbation of a non-interacting quantum lattice system with a non-degenerate gapped ground state. We prove that the presence of isolated eigenvalues in the spectrum of the decoupled model leads to the existence…

Mathematical Physics · Physics 2007-05-23 D. A. Yarotsky

A system of two charged particles in a harmonic trap with additional magnetic field is considered. The problem is reduced to a single-particle one in relative coordinates. The ground- and lowest excited-state energies and wave functions are…

Quantum Physics · Physics 2013-10-16 Maciej Janowicz , Jan Mostowski

We perform a pilot study of the perturbative renormalization of a Supersymmetric gauge theory with matter fields on the lattice. As a specific example, we consider Supersymmetric ${\cal N}{=}1$ QCD (SQCD). We study the self-energies of all…

High Energy Physics - Lattice · Physics 2018-04-18 Marios Costa , Haralambos Panagopoulos