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We present a kind of model of quantum electrodynamics with nonlocal interaction, all the action and the equations of motion of charged particle and electromagnetic field are given. The main characteristics of the theory are: the model obeys…

High Energy Physics - Theory · Physics 2011-06-08 T. Mei

In these lectures we give an introduction and overview of the electroweak standard model (EWSM) of particle physics. We first introduce the basic concepts of quantum field theory necessary to build the EWSM: abelian and non-abelian gauge…

High Energy Physics - Phenomenology · Physics 2024-10-15 Gustavo Burdman

Quantum electrodynamics describes the interactions of electrons and photons. Electric charge (the gauge coupling constant) is energy dependent, and there is a previous claim that charge is affected by gravity (described by general…

High Energy Physics - Theory · Physics 2011-11-10 David J. Toms

Basing on the general photon eigenstate and the anomaly cancelation, we have naturally explained the electric charge quantization in two models based on the SU(3)_C X SU(3)_L X U(1)_X gauge group, namely in the minimal model and in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Phung Van Dong , Hoang Ngoc Long

Application of the background-field method yields a gauge-invariant effective action for the electroweak Standard Model, from which simple QED-like Ward identities are derived. As a consequence of these Ward identities, the background-field…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Denner , S. Dittmaier , G. Weiglein

We study a novel type of extensions of the Standard Model which include a hard mass term for the U(1) gauge field and, optionally, the additional scalar multiplets spontaneously violating the electric charge conservation. Contrary to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Yu. Ignatiev , G. C. Joshi

The anomaly cancellation is at the basis of the perturbative consistence of the Standard Model and it provides a partial explanation of charge quantization. We consider an effective Electroweak theory on a lattice, with a quartic…

High Energy Physics - Lattice · Physics 2023-03-07 Vieri Mastropietro

What values of the Standard Model hypercharges result in a mathematically consistent quantum field theory? We show that the constraints imposed by the lack of gauge anomalies can be recast as the equation x^3 + y^3 = z^3. If hypercharge is…

High Energy Physics - Theory · Physics 2020-01-29 Nakarin Lohitsiri , David Tong

In Field theories with simple or semi-simple unitary, local or global symmetries, the electric charge is related to a global one. This is the case also in electroweak gauge theories even before the spontaneous symmetry breaking (SSB), where…

High Energy Physics - Phenomenology · Physics 2020-01-10 E. Castillo-Ruiz , V. Pleitez , O. P. Ravinez

Recently, it has been observed that a quantum field theory need not be Hermitian to have a real, positive spectrum. What seems to be required is symmetry under combined parity and time-reversal transformations. This idea is extended to…

High Energy Physics - Theory · Physics 2007-05-23 Carl M. Bender , Kimball A. Milton

The Standard Model of the electroweak and strong interactions of particle physics is a quantum field theory. Elementary particles are not indivisible `pieces' of matter but energy bundles of fields, whose properties and interactions are a…

High Energy Physics - Phenomenology · Physics 2022-11-29 José Ignacio Illana , Alejandro Jiménez Cano

Starting from a weak gauge principle we give a new and critical revision of the argument leading to charge quantization on arbitrary spacetimes. The main differences of our approach with respect to previous works appear on spacetimes with…

High Energy Physics - Theory · Physics 2007-05-23 E. Minguzzi , C. Tejero Prieto , A. Lopez Almorox

A noncommutative version of the usual electro-weak theory is constructed. We discuss how to overcome the two major problems: 1) although we can have noncommutative U(n) (which we denote by $U_{\star}(n)$) gauge theory we cannot have…

High Energy Physics - Theory · Physics 2010-05-28 M. Chaichian , P. Presnajder , M. M. Sheikh-Jabbari , A. Tureanu

Quantum electrodynamics under conditions of distinguishability of interacting matter entities, and of controlled actions and back-actions between them, is considered. Such "mesoscopic quantum electrodynamics" is shown to share its dynamical…

Quantum Physics · Physics 2015-09-30 L. I. Plimak , Misha Ivanov , A. Aiello , S. Stenholm

Charge quantization, or the absence thereof, is a central theme in quantum circuit theory, with dramatic consequences for the predicted circuit dynamics. Very recently, the question of whether or not charge should actually be described as…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Roman-Pascal Riwar

We review the formalism by which the tunnelling probability of an unstable ground state can be computed in quantum field theory, with special reference to the Standard Model of electroweak interactions. We describe in some detail the…

High Energy Physics - Phenomenology · Physics 2015-12-11 Luca Di Luzio , Gino Isidori , Giovanni Ridolfi

In this and companion papers, we show that quantum field theories with gauge symmetries permit a broader class of classical dynamics than typically assumed. In this article, we show that the quantization of electromagnetism permits the…

High Energy Physics - Theory · Physics 2023-07-19 David E. Kaplan , Tom Melia , Surjeet Rajendran

In this work we modify the wave-corpuscle mechanics for elementary charges introduced by us recently. This modification is designed to better describe electromagnetic (EM) phenomena at atomic scales. It includes a modification of the…

Classical Physics · Physics 2015-05-14 Anatoli Babin , Alexander Figotin

We examine extensions of the Standard Model (SM), basing our assumptions on what has already been observed; we don't consider anything fundamentally different, such as grand unification or supersymmetry, which is not directly suggested by…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. D. Froggatt , H. B. Nielsen , D. J. Smith

The Standard Model is one of the main intellectual achievements for about the last 50 years, a result of many theoretical and experimental studies. In this lecture a brief introduction to the electroweak part of the Standard Model is given.…

High Energy Physics - Phenomenology · Physics 2016-08-09 E. Boos