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We consider an extension of the standard electroweak theory with gauge group $SU(2)_L \times SU(2)_R \times U(1)_{\tilde{Y}}$, where the gauge bosons of the extra $SU(2)_R$ factor do not couple to ordinary fermions. We show that precision…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Donini , F. Feruglio , J. Matias , F. Zwirner

Physical systems may couple to other systems through variables that are not gauge invariant. When we split a gauge system into two subsystems, the gauge-invariant variables of the two subsystems have less information than the gauge…

High Energy Physics - Theory · Physics 2021-04-14 Carlo Rovelli

The gauge principle is a cornerstone of particle-physics model building. Nevertheless, many constructions leave certain global $U(1)$ redundancies ungauged. In this work, we take the gauge principle to its logical extreme by promoting all…

High Energy Physics - Phenomenology · Physics 2025-12-18 Antonio Herrero-Brocal , Javier Perez-Soler , Avelino Vicente

If there is an extra U(1) gauge symmetry broken at low energies, then it may be possible from the charges of the known quarks and leptons under this U(1) to make inferences about how much gauge unification occurs at high scales and about…

High Energy Physics - Phenomenology · Physics 2011-05-12 S. M. Barr , Almas Khan

Phenomena in gauge theory are often described in the physics literature via a specific choice of gauge. In foundational and philosophical discussions this is often criticized as introducing gauge dependence, and contrasted against (often…

History and Philosophy of Physics · Physics 2024-07-23 David Wallace

It is shown, in D=2+1 dimensions, that by merely imposing non-abelian gauge invariance on the temporal gauge ground state wavefunctional of an abelian gauge theory, a confining state is obtained.

High Energy Physics - Lattice · Physics 2007-05-23 J. Greensite , S. Olejnik

Although gauge invariance preserves the values of physical observables, a gauge transformation can introduce important alterations of physical interpretations. To understand this, it is first shown that a gauge transformation is not, in…

Quantum Physics · Physics 2013-02-07 H. R. Reiss

It is found that in presence of electroweak interactions the gauge covariant diagonalization of the axial-vector -- pseudoscalar mixing in the effective meson Lagrangian leads to a deviation from the vector meson and the axial-vector meson…

High Energy Physics - Phenomenology · Physics 2018-12-26 A. A. Osipov , B. Hiller , P. M. Zhang

It is shown that space-time dependent gauge couplings do not completely break gauge invariance. We demonstrate this in various gauge theories.

High Energy Physics - Theory · Physics 2015-06-03 Noureddine Mohammedi

The problem of the gauge hierarchy is brought up in a hypercomplex scheme for a U(1) field theory; in such a scheme a compact gauge group is deformed through a \gamma-parameter that varies along a non-compact internal direction, transverse…

High Energy Physics - Theory · Physics 2016-12-15 R. Cartas-Fuentevilla , A. Escalante-Hernandez , A. Herrera-Aguilar

SU(2) lattice gauge theory is studied after eliminating thin monopoles and the smallest thick monopoles. Kinematically this constraint allows thick vortex loops which produce long range Z(2) fluctuations. The thick vortex loops are…

High Energy Physics - Lattice · Physics 2009-11-07 Srinath Cheluvaraja

Gauge unification is widely considered to be a desirable feature for extensions of the standard model. Unfortunately the standard model itself does not exhibit a unification of its running gauge couplings but it is required by grand unified…

High Energy Physics - Phenomenology · Physics 2009-02-12 C. A. Stephan

The inconsistence of Dirac-Weyl field equations with the universal U(1) gauge invariance of neutrinos in quantum mechanics led to generalize the special relativity to the generic relativity, which was composed of the special relativity and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Haigang Lu

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

A linear realization of a model of dynamical electroweak symmetry breaking describing additional heavy vector bosons is proposed. The model is a SU(2)_L x U(1) x SU(2)_L' x SU(2)_R' gauge theory, breaking at some high scale u to SU(2)_weak…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. Casalbuoni , S. De Curtis , D. Dominici , M. Grazzini

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

Based on the Ginsparg-Wilson relation, a gauge invariant formulation of electroweak SU(2)xU(1) gauge theory on the lattice is considered. If the hypercharge gauge coupling is turned off in the vacuum sector of the U(1) gauge fields, the…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa , Yoichi Nakayama , Hiroshi Suzuki

Reassigning degrees of freedom in the standard model allows an interpretation where the SU(2) gauge group is vector-like and parity violation moves to the strong and electromagnetic interactions. In this picture, the electron is paired with…

High Energy Physics - Lattice · Physics 2009-10-30 Michael Creutz

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

We consider the extended electroweak gauge group SU(2)_1 \times SU(2)_2 \times U(1)_Y where the first and second families of fermions couple to SU(2)_1 while the third family couples to SU(2)_2. Bounds based an precision electroweak…

High Energy Physics - Phenomenology · Physics 2007-05-23 David J. Muller , Satya Nandi