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The well-known Yang-Mills theory with one $ S^{1} / Z_{2}$ universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat based…

High Energy Physics - Theory · Physics 2015-02-04 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

Contribution of matter fields to the Gell-Mann-Low function for N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives, is obtained using Schwinger-Dyson equations and Slavnov-Tailor identities. A possible…

High Energy Physics - Theory · Physics 2008-11-26 K. V. Stepanyantz

As a first step towards a strong coupling expansion of Yang-Mills theory, the SU(2) Yang-Mills quantum mechanics of spatially constant gauge fields is investigated in the symmetric gauge, with the six physical fields represented in terms of…

High Energy Physics - Theory · Physics 2008-11-26 H. -P. Pavel

A gauge field model, which simultaneously has strict local gauge symmetry and contains massive general gauge bosons, is discussed in this paper. The model has SU(N) gauge symmetry. In order to introduce the mass term of gauge fields…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ning Wu

From a gauge $SU(2,2|2)$ model with broken supersymmetry, we construct an action for $SU(2)\times U(1)$ Yang-Mills theory coupled to gravity and matter. The connection components for AdS boosts and special conformal translations are…

High Energy Physics - Theory · Physics 2020-08-26 Pedro D. Alvarez , Mauricio Valenzuela , Jorge Zanelli

A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, along with the necessary gauge invariant regularisation which implements the effective cutoff. The latter is naturally incorporated by…

High Energy Physics - Theory · Physics 2007-05-23 Stefano Arnone , Antonio Gatti , Tim R. Morris

We lift the recently proposed theories of higher-spin self-dual Yang-Mills (SDYM) and gravity (SDGR) to the twistor space. We find that the most natural room for the twistor formulation of these theories is not in the projective, but in the…

High Energy Physics - Theory · Physics 2024-09-27 Yannick Herfray , Kirill Krasnov , Evgeny Skvortsov

The aim of this paper is to discuss a kinematical algebraic structure of a theory of gravity, that would be unitary, renormalizable and coupled in the same manner to both spinorial and tensorial matter fields. An analysis of the common…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dj. Sijacki

We apply novel techniques in planar superconformal Yang-Mills theory which stress the role of the Yangian algebra. We compute the first two Casimirs of the Yangian, which are identified with the first two local abelian Hamiltonians with…

High Energy Physics - Theory · Physics 2010-11-15 Louise Dolan , Chiara R. Nappi

We show that to cubic order double field theory is encoded in Yang-Mills theory. To this end we use algebraic structures from string field theory as follows: The $L_{\infty}$-algebra of Yang-Mills theory is the tensor product ${\cal…

High Energy Physics - Theory · Physics 2022-07-27 Roberto Bonezzi , Felipe Diaz-Jaramillo , Olaf Hohm

Gauge theories of conformal spacetime symmetries are presented which merge features of Yang-Mills theory and general relativity in a new way. The models are local but nonpolynomial in the gauge fields, with a nonpolynomial structure that…

High Energy Physics - Theory · Physics 2014-11-18 Friedemann Brandt

We derive Yang-Mills vertex operators for (super)string theory whose BRST invariance requires only the free gauge-covariant field equation and no gauge condition. Standard conformal field theory methods yield the three-point vertices…

High Energy Physics - Theory · Physics 2010-04-05 Haidong Feng , Warren Siegel

In a space of $d $ Grassmann coordinates two types of generators of Lorentz transformations can be defined, one of spinorial and the other of vectorial character. Both kinds of operators appear as linear operators in Grassmann space,…

High Energy Physics - Theory · Physics 2007-05-23 Norma Mankoč Borštnik

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

Similar to gravity, an infinite tower of symmetries generated by higher-spin charges has been identified in Yang-Mills theory by studying collinear limits or celestial operator products of gluons. This work aims to recover this loop…

High Energy Physics - Theory · Physics 2023-06-06 Laurent Freidel , Daniele Pranzetti , Ana-Maria Raclariu

Lagrangian classical field theory of even and odd fields is adequately formulated in terms of fibre bundles and graded manifolds. In particular, conventional Yang-Mills gauge theory is theory of connections on smooth principal bundles, but…

Mathematical Physics · Physics 2014-06-25 G. Sardanashvily , W. Wachowski

Using the results and techniques of a previous paper where we proved the quantization of gravity we extend the former result by adding a Yang-Mills functional and a Higgs term to the Einstein-Hilbert action.

High Energy Physics - Theory · Physics 2014-11-26 Claus Gerhardt

We formulate gauge theories on noncompact Lorentzian manifolds. For definiteness we choose an SO(1,4) gauge theory -- the isometry group of the five dimensional Minkowski space. We make use of the natural inner product to construct the…

High Energy Physics - Theory · Physics 2023-12-01 Giovanni Mistretta , Tomislav Prokopec

We consider the general framework of perturbative quantum field theory for the pure Yang-Mills model developped in [10] and consider the coupling with spin 3/2 particles. We will derive the most general form of the interaction with pure…

High Energy Physics - Theory · Physics 2023-04-26 Dan-Radu Grigore

In this work we use constructs from the dual space of the semi-direct product of the Virasoro algebra and the affine Lie algebra of a circle to write a theory of gravitation which is a natural analogue of Yang-Mills theory. The theory…

High Energy Physics - Theory · Physics 2009-10-30 Thomas Branson , R. P. Lano , V. G. J. Rodgers