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In a series of papers, we examine the physical unitarity in a massive Yang-Mills theory without the Higgs field in which the color gauge symmetry is not spontaneously broken and kept intact. For this purpose, we use a new framework proposed…

High Energy Physics - Theory · Physics 2015-06-11 Kei-Ichi Kondo , Kenta Suzuki , Hitoshi Fukamachi , Shogo Nishino , Toru Shinohara

In this talk, we examine the physical unitarity in a massive Yang-Mills theory without the Higgs field in which the color gauge symmetry is not spontaneously broken and kept intact. For this purpose, we use a new framework proposed one of…

High Energy Physics - Theory · Physics 2013-01-14 Kei-Ichi Kondo , Kenta Suzuki , Hitoshi Fukamachi , Shogo Nishino , Toru Shinohara

In order to understand the so-called decoupling solution for gluon and ghost propagators in QCD, we give a nonperturbative construction of a massive vector field describing a non-Abelian massive spin-one particle, which has the correct…

High Energy Physics - Theory · Physics 2015-06-11 Kei-Ichi Kondo

It is shown that the massive Yang-Mills theory is on mass-shell renormalizable. Thus the Standard Model of electroweak interactions can be modified by removing terms with the scalar field from the Lagrangian in the unitary gauge. The…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. A. Larin

A four-dimensional ${\rm SU}(4)$ confining Yang-Mills field, coupled to a fundamental fermion field and a bi-fundamental scalar field, has excitations with spin-2, but no other quantum numbers. These spin-2 excitations can be light or can…

High Energy Physics - Theory · Physics 2021-01-08 Peter Orland

We discuss the problem of unitarity for Yang-Mills theory in the Landau gauge with a mass term a la Stueckelberg. We assume that the theory (non-renormalizable) makes sense in some subtraction scheme (in particular the Slavnov-Taylor…

High Energy Physics - Theory · Physics 2010-02-03 Ruggero Ferrari , Andrea Quadri

A perturbative regime based on contortion as a dynamical variable and metric as a (classical) fixed background, is performed in the context of a pure Yang-Mills formulation for gravity in a $2+1$ dimensional space-time. In the massless case…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Rolando Gaitan Deveras

A perturbative regime based on contorsion as a dynamical variable and metric as a (classical) fixed background, is performed in the context of a pure Yang-Mills formulation based on $GL(3,R)$ gauge group. In the massless case we show that…

General Relativity and Quantum Cosmology · Physics 2010-05-21 Rolando Gaitan Deveras

In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism…

High Energy Physics - Theory · Physics 2019-07-31 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

The perturbation theory over inverse interaction constant $1/g$ is constructed for Yang-Mills theory. It is shown that the new perturbation theory is free from the gauge ghosts and Gribov's ambiguities, each order over $1/g$ presents the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Manjavidze , A. Sissakian

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory.…

High Energy Physics - Theory · Physics 2022-09-13 Dan-Radu Grigore

Effective field theory of massive Yang-Mills fields interacting with fermions is considered. Perturbative renormalizability in the sense of effective field theory is shown. It is argued that the limit of vanishing vector boson mass leads to…

High Energy Physics - Theory · Physics 2012-08-02 Jambul Gegelia , George Japaridze

Gravitational interactions of higher spin fields are generically plagued by inconsistencies. We present a simple framework that couples higher spins to a broad class of gravitational backgrounds (including Ricci flat and Einstein)…

High Energy Physics - Theory · Physics 2008-11-26 A. R. Gover , K. Hallowell , A. Waldron

We prove the renormalizability of the Curci-Ferrari model with and without auxiliary fields using BRST methods. In both cases we find 5 $Z$ factors instead of 3. We verify our results by explicit one loop calculations. We determine a set of…

High Energy Physics - Theory · Physics 2009-10-28 Jan de Boer , Kostas Skenderis , Peter van Nieuwenhuizen , Andrew Waldron

We examine the renormalization of the first order formulation of Yang-Mills theory, by using the BRST idenities. These preserve the gauge invariance of the theory and enable a recursive proof of renormalizability to higher orders in…

High Energy Physics - Theory · Physics 2018-01-04 J Frenkel , J C Taylor

The background gauge renormalization of the first order formulation of the Yang-Mills theory is studied by using the BRST identities. Together with the background symmetry, these identities allow for an iterative proof of renormalizability…

High Energy Physics - Theory · Physics 2019-08-22 F. T. Brandt , J. Frenkel , D. G. C. McKeon

We suggest a new generalization of the $\mathrm{U}(n)$ Yang-Mills theory obtained by relaxing the condition of covariant constancy of the Hermitian form in the fibers, $\nabla_a g_{\alpha\beta'} \ne 0$. This theory is a simpler analogue of…

High Energy Physics - Theory · Physics 2026-05-20 Władysław Wachowski

We give a new description of classical Yang-Mills theory by coupling a two-dimensional chiral CFT (which gives the tree-level S-matrix of Yang-Mills theory at genus zero) to a background non-abelian gauge field. The resulting model is…

High Energy Physics - Theory · Physics 2018-10-31 Tim Adamo , Eduardo Casali , Stefan Nekovar

We study quantized Yang-Mills theory with massive vector fields in the framework of causal perturbation theory. The most general form of the interaction which is invariant under operator gauge transformations is pointed out. The generator…

High Energy Physics - Theory · Physics 2007-05-23 Frank Krahe

A new mechanism giving the massive gauge bosons in Yang-Mills theory is proposed in this letter. The masses of intermediate vector bosons can be automatically given without introducing Higgs scalar boson. Furthermore the relation between…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xin-Bing Huang
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