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We consider a quark-lepton symmetry model of unification of the strong and electromagnetic interactions. The model has the gauge group $SU(4)\times U(1)_{Y}$ and the minimal Higgs structure consisting of one complex quartet of scalar…

High Energy Physics - Phenomenology · Physics 2009-04-09 E. K. Loginov

The standard formulation of gauge theories results from the Lagrangian (functional integral) quantization of classical gauge theories. A more intrinsic qunantum theoretical access in the spirit of Wigner's representation theory shows that…

Mathematical Physics · Physics 2011-09-08 Bert Schroer

Renormalized gauge-invariant observables in gauge theories form an algebra which is obtained as the cohomology of the derivation $[\textbf{Q}_L, -]$ with $\textbf{Q}_L$ the renormalized interacting quantum BRST charge. For a large class of…

High Energy Physics - Theory · Physics 2018-08-14 Mojtaba Taslimi Tehrani

The aim of this review is to describe the field-theoretical foundations of Brout-Englert-Higgs (BEH) physics, and to show how the usual phenomenology arises from it. This requires to give a precise and gauge-invariant meaning to the…

High Energy Physics - Phenomenology · Physics 2019-04-17 Axel Maas

In this paper we discuss the mechanism of spontaneous symmetry breaking from the point view of vacuum pairs, considered as ground states of a Yang-Mills-Higgs gauge theory. We treat a vacuum as a section in an appropriate bundle that is…

Mathematical Physics · Physics 2009-11-07 Juergen Tolksdorf

In this thesis quantum gauge theories are considered in the framework of local, causal perturbation theory. Gauge invariance is described in terms of the BRS formalism. Local interacting field operators are constructed perturbatively and…

High Energy Physics - Theory · Physics 2007-05-23 Franz-Marc Boas

We discuss an alternative to the Higgs mechanism which leads to gauge invariant masses for the electroweak bosons. The key idea is to reformulate the gauge invariance principle which, instead of being applied as usual at the level of the…

High Energy Physics - Phenomenology · Physics 2011-07-11 Xavier Calmet

Gravity is usually considered to be irrelevant as far as the physics of elementary particles is concerned and, in particular, in the context of the spontaneous symmetry breaking (SSB) mechanism. We describe a version of the SSB mechanism in…

High Energy Physics - Theory · Physics 2013-05-30 Kirill Krasnov

A simpler method of quantization is given for massive gauge theories. This method gives the same results as those of the conventional massive gauge theory with ghost and Higgs fields under the Higgs mass. Besides, we point out physical…

High Energy Physics - Phenomenology · Physics 2007-10-17 Tsuguo Mogami

We incorporate the parameters of the gauge group G into the gauge theory of interactions through a non-linear partial-trace sigma-model Lagrangian on G/H. The minimal coupling of the new (Goldstone-like) scalar bosons provides mass terms to…

High Energy Physics - Theory · Physics 2010-12-01 V. Aldaya , M. Calixto , F. F. Lopez-Ruiz

String-localized quantum field theory allows renormalizable couplings involving massive vector bosons, without invoking negative-norm states and compensating ghosts. We analyze the most general coupling of a massive vector boson to a scalar…

High Energy Physics - Theory · Physics 2023-02-13 Jens Mund , Karl-Henning Rehren , Bert Schroer

The gauge-Higgs unification theory identifies the zero mode of the extra dimensional component of the gauge field as the usual Higgs doublet. Since this degree of freedom is the Wilson line phase, the Higgs does not have the mass term nor…

High Energy Physics - Phenomenology · Physics 2009-11-10 Naoyuki Haba , Kazunori Takenaga , Toshifumi Yamashita

Gauge theory of gravity is formulated based on principle of local gauge invariance. Because the model has strict local gravitational gauge symmetry, gauge theory of gravity is a perturbatively renormalizable quantum model. However, in the…

High Energy Physics - Theory · Physics 2018-01-17 Ning Wu

We consider classical gauge theory on a principal bundle P->X in a case of spontaneous symmetry breaking characterized by the reduction of a structure group G of P->X to its closed subgroup H. This reduction is ensured by the existence of…

Mathematical Physics · Physics 2016-02-15 G. Sardanashvily

Future measurements of primordial non-Gaussianity can reveal cosmologically produced particles with masses of order the inflationary Hubble scale and their interactions with the inflaton, giving us crucial insights into the structure of…

High Energy Physics - Phenomenology · Physics 2018-05-15 Soubhik Kumar , Raman Sundrum

Using the covariant approach and conformal transformations, we present a gauge-invariant formalism for cosmological perturbations in generalized Einstein theories (GETs), including the Brans-Dicke theory, theories with a non-minimally…

Astrophysics · Physics 2010-11-01 Toshinari Hirai , Kei-ichi Maeda

We propose an algorithm, based on Algebraic Renormalization, that allows the restoration of Slavnov-Taylor invariance at every order of perturbation expansion for an anomaly-free BRS invariant gauge theory. The counterterms are explicitly…

High Energy Physics - Theory · Physics 2009-10-31 R. Ferrari , P. A. Grassi

We consider pure SU(N) gauge theories defined on an orbifold lattice, analogous to the S^1/Z_2 gauge theory orbifolds of the continuum, which according to the perturbative analysis do not have a Higgs phase. Non-perturbatively the…

High Energy Physics - Lattice · Physics 2015-06-18 Nikos Irges , Francesco Knechtli

The use of the mass term as a gauge fixing term has been studied by Zwanziger, Parrinello and Jona-Lasinio, which is related to the non-linear gauge $A_{\mu}^{2}=\lambda$ of Dirac and Nambu in the large mass limit. We have recently shown…

High Energy Physics - Theory · Physics 2015-06-25 Kazuo Fujikawa , Hiroaki Terashima

The current understanding of renormalization in quantum gravity (QG) is based on the fact that UV divergences of effective actions in the covariant QG models are covariant local expressions. This fundamental statement plays a central role…

High Energy Physics - Theory · Physics 2024-07-30 P. M. Lavrov , I. L. Shapiro