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In this lecture we discuss the basic ingredients for gauge invariant quantum field theories. We give an introduction to the elements of quantum field theory, to the construction of the basic Lagrangian for a general gauge theory, and…

High Energy Physics - Phenomenology · Physics 2010-12-20 W. Hollik

Electroweak symmetry can be naturally broken by observed quark and gauge fields in various extra-dimensional configurations. No new {\it fundamental} fields are required below the quantum gravitational scale ($\sim$ 10 - 100 TeV). We…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hsin-Chia Cheng , Bogdan A. Dobrescu , Christopher T. Hill

We consider the Lee-Wick (LW) finite electrodynamics, i.e., the U(1) gauge theory where a (gauge-invariant) dimension-6 operator containing higher-derivatives is added to the free Lagrangian of the U(1) sector. Three bounds on the LW heavy…

High Energy Physics - Theory · Physics 2015-03-17 Antonio Accioly , Patricio Gaete , José Helayël-Neto , Eslley Scatena , Rodrigo Turcati

In principle, the complete spectrum and bound-state wave functions of a quantum field theory can be determined by finding the eigenvalues and eigensolutions of its light-cone Hamiltonian. One of the challenges in obtaining nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , V. A. Franke , J. R. Hiller , G. McCartor , S. A. Paston , E. V. Prokhvatilov

If the Lie group of a non-Abelian theory is replaced by the corresponding q-group, one is led to replace the Lie algebra by two dual algebras. The first of these lies close to the Lie algebra that it is replacing while the second introduces…

High Energy Physics - Theory · Physics 2007-05-23 R. J. Finkelstein

It is proved that the SU(2)-symmetric model of hadrodynamics can well be set up on the gauge-invariance principle. The quantization of the model can readily be performed in the Lagrangian path-integral formalisms by using the Lagrangian…

Nuclear Theory · Physics 2007-05-23 Jun-Chen Su , Hai-Jun Wang

We propose a minimal unified model of the electroweak interactions without a Higgs particle in the final physical spectrum. This is achieved through adding a nonlinear constraint for the Higgs field in the Lagrangian in which the field's…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. Vitev , V. Rizov

Non-perturbative proof is presented of a unique version of Goldstone theorem, that electromagnetism contributes to the masses of spinless particles of quark-antiquark bound states in the form of a commutator of the quark electric matrix and…

High Energy Physics - Phenomenology · Physics 2014-03-14 R. Ling , B. L. Lee , H. S. Zong , J. L. Ping

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

We develop the principle of nongravitating vacuum energy, which is implemented by changing the measure of integration from $\sqrt{-g}d^{D}x$ to an integration in an internal space of $D$ scalar fields $\phi_{a}$. As a consequence of such a…

General Relativity and Quantum Cosmology · Physics 2011-09-09 E. I. Guendelman , A. B. Kaganovich

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

The apparent absence of new heavy states at the LHC below the TeV scale points that there is a gap in the electroweak energy spectrum. This scenario is conveniently described through the electroweak effective theory, an effective…

High Energy Physics - Phenomenology · Physics 2018-07-03 Joaquín Santos

An ultraviolet complete particle model is constructed for the observed particles of the standard model. The quantum field theory associates infinite derivative entire functions with propagators and vertices, which make quantum loops finite…

General Physics · Physics 2023-07-18 J. W. Moffat

Since the SU(n) gauge theory with massive gauge bosons has been proven to be renormalisable we reinvestigate the renormalisability of the SU$_L$(2) $\times$ U$_Y$(1) electroweak theory with massive W Z bosons. We expound that with the…

High Energy Physics - Theory · Physics 2016-09-06 Ze-sen Yang , Xianhui Li , Zhinig Zhou , Yushu Zhong

A theory of quantum gravity has been recently proposed by means of a novel quantization prescription, which is able to turn the poles of the free propagators that are due to the higher derivatives into fakeons. The classical Lagrangian…

High Energy Physics - Theory · Physics 2018-05-09 Damiano Anselmi , Marco Piva

The exact solution for a static spherically symmetric field outside a charged point particle is found in a non-linear $U(1)$ gauge theory with a logarithmic Lagrangian. The electromagnetic self-mass is finite, and for a particular relation…

High Energy Physics - Theory · Physics 2009-10-28 Harald H. Soleng

Theories of Quantum Gravity predict a minimum measurable length and a corresponding modification of the Heisenberg Uncertainty Principle to the so-called Generalized Uncertainty Principle (GUP). However, this modification is usually…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Vasil Todorinov , Saurya Das , Pasquale Bosso

The electric charge renormalization constant, as defined in the Thomson limit, is expressed in terms of self-energies of the photon-Z-boson system in an arbitrary R_\xi-gauge to all perturbative orders. The derivation as carried out in the…

High Energy Physics - Phenomenology · Physics 2021-03-24 Stefan Dittmaier

The electroweak sector of the Standard Model can be formulated in a way similar to Chiral Perturbation Theory (ChPT), but extended by a singlet scalar. The resulting effective field theory (EFT) is called Higgs-Electroweak Chiral Lagrangian…

High Energy Physics - Phenomenology · Physics 2019-07-18 Claudius Krause , Gerhard Buchalla , Oscar Catà , Alejandro Celis , Marc Knecht

Quantum electrodynamics is the well-accepted theory. However, we feel it is useful to look at formalisms that provide alternative ways to describe light, because in the recent years the development of quantum field theories based primarily…

History and Philosophy of Physics · Physics 2007-05-23 Valeri V. Dvoeglazov