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U(4) local transformations on the four Weyl spinors forming the isospin doublet of Dirac fermions are assumed as symmetries of the standard model. With the Lorentz transformations considered simultaneously, the symmetry group is enlarged in…

High Energy Physics - Phenomenology · Physics 2025-01-06 Lu Yang

Gauge invariance is a powerful tool to determine the dynamical forces among the fundamental constituents of matter. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to…

High Energy Physics - Phenomenology · Physics 2012-01-31 Antonio Pich

The requirement of manifest gauge invariance leads to a conflict between perturbative and non-perturbative predictions for the low-energy spectra of grand-unified theories. These conflicts already emerge in simplified prototype models of…

High Energy Physics - Lattice · Physics 2022-11-14 Elizabeth Dobson , Axel Maas , Bernd Riederer

The concept of gauge invariance in classical electrodynamics assumes tacitly that Maxwell's equations have unique solutions. By calculating the electromagnetic field of a moving particle both in Lorenz and in Coulomb gauge and directly from…

Classical Physics · Physics 2007-05-23 Wolfgang Engelhardt

We discuss the possibility of breaking the electroweak symmetry in theories with extra dimensions via boundary conditions, without a physical Higgs scalar in the spectrum. In these models the unitarity violation scale can be delayed via the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Csaba Csaki

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

High Energy Physics - Phenomenology · Physics 2007-06-13 Antonio Pich

Using connection with quantum field theory, the infinitesimal covariant abelian gauge transformation laws of relativistic two-particle constraint theory wave functions and potentials are established and weak invariance of the corresponding…

High Energy Physics - Theory · Physics 2009-10-30 H. Jallouli , H. Sazdjian

In the framework of causal perturbation theory we analyze the gauge structure of a massless self-interacting quantum tensor field. We look at this theory from a pure field theoretical point of view without assuming any geometrical aspect…

High Energy Physics - Theory · Physics 2007-05-23 G. Scharf , M. Wellmann

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

Linear cosmological perturbation theory is pivotal to a theoretical understanding of current cosmological experimental data provided e.g. by cosmic microwave anisotropy probes. A key issue in that theory is to extract the gauge invariant…

General Relativity and Quantum Cosmology · Physics 2010-02-17 K. Giesel , S. Hofmann , T. Thiemann , O. Winkler

According to the introduction of a minimal length to quantum field theory which is directly related to a generalized uncertainty principle the implementation of the gauge principle becomes much more intricated. It has been shown in another…

High Energy Physics - Phenomenology · Physics 2011-09-29 Martin Kober

When the electroweak action is rewritten in terms of SU(2) gauge invariant variables, the Higgs can be interpreted as a conformal metric factor. We show that asymptotic flatness of the metric is required to avoid a Gribov problem: without…

High Energy Physics - Theory · Physics 2010-07-12 Anton Ilderton , Martin Lavelle , David McMullan

Perturbative calculations predict that the Standard Model (SM) effective potential should have a new minimum, well beyond the Planck scale, much deeper than the electroweak vacuum. As it is not obvious that gravitational effects can get so…

High Energy Physics - Phenomenology · Physics 2024-09-30 Maurizio Consoli , George Rupp

The Connes and Lott reformulation of the strong and electroweak model represents a promising application of noncommutative geometry. In this scheme the Higgs field naturally appears in the theory as a particular `gauge boson', connected to…

High Energy Physics - Theory · Physics 2015-06-26 F. Lizzi , G. Mangano , G. Miele , G. Sparano

Gauge-invariant perturbation theory for theories with a Brout-Englert-Higgs effect, as developed by Fr\"ohlich, Morchio and Strocchi, starts out from physical, exactly gauge-invariant quantities as initial and final states. These are…

High Energy Physics - Lattice · Physics 2016-10-14 Pascal Törek , Axel Maas

We analyze gauge parameter dependence by using an algebraic method which relates the gauge parameter dependence of Green functions to an enlarged Slavnov-Taylor identity. In the course of the renormalization it turns out that gauge…

High Energy Physics - Theory · Physics 2009-10-30 Rainer Haeussling , Elisabeth Kraus

Interactions of gauge-invariant systems are severely constrained by several consistency requirements. One is the preservation of the number of gauge symmetries, another is causal propagation. For lower-spin fields, the emphasis is usually…

High Energy Physics - Theory · Physics 2013-09-11 Marc Henneaux , Rakibur Rahman

Many models of Beyond the Standard Model physics involve heavy colored fermions. We study models where the new fermions have vector interactions and examine the connection between electroweak precision measurements and Higgs production. In…

High Energy Physics - Phenomenology · Physics 2013-05-30 S. Dawson , E. Furlan

Little Higgs models predict new gauge bosons, fermions and scalars at the TeV scale that stabilize the Higgs mass against quadratically divergent one-loop radiative corrections. We categorize the many little Higgs models into two classes…

High Energy Physics - Phenomenology · Physics 2009-11-11 Tao Han , Heather E. Logan , Lian-Tao Wang