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We prove that static, spherically symmetric, asymptotically flat, regular solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups. The proof involves the following main steps. First, we show that the frequency…

General Relativity and Quantum Cosmology · Physics 2010-11-01 O. Brodbeck , N. Straumann

It is shown that a version of PT-symmetric electrodynamics based on an axial-vector current coupling massless fermions to the photon possesses anomalies and so is rendered nonrenormalizable. An alternative theory is proposed based on the…

High Energy Physics - Theory · Physics 2009-11-10 Kimball A. Milton

We present a non-geometric derivation of $\mathcal{N}$=1 Super Yang-Mills by focusing on the consistency of interactions that extend the free vector supermultiplet rather than assuming gauge invariance under extended symmetries. By…

High Energy Physics - Theory · Physics 2024-08-28 Konstantinos Koutrolikos

We construct new regular solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by a pair of integers (k,n), where k is related to the polar angle and $n$ to the azimuthal…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Yasha Shnir

We analyse Feynman diagram calculational issues related to the quantum breaking of supercurrent conservation in a supersymmetric non-abelian Yang-Mills theory. For the sake of simplicity, we take a zero mass gauge field multiplet…

High Energy Physics - Theory · Physics 2018-08-08 Y. R. Batista , Brigitte Hiller , Adriano Cherchiglia , Marcos Sampaio

Gauge symmetries remove unphysical states and guarantee that field theories are free from the pathologies associated with these states. In this work we find a set of general conditions that guarantee the removal of unphysical states in…

High Energy Physics - Theory · Physics 2021-07-29 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gerardo García-Moreno

We review recent progress in the understanding of symmetries for scattering amplitudes in N=4 superconformal Yang-Mills theory. It is summarized how the superficial breaking of superconformal symmetry by collinear anomalies and the…

High Energy Physics - Theory · Physics 2015-03-19 Till Bargheer , Niklas Beisert , Florian Loebbert

A formulation of $\mathcal{N} = 2$ supersymmetric Yang-Mills theory with a spacetime-dependent gauge coupling allows to study the breaking of conformal symmetry at the quantum level. The theory has an energy-momentum tensor that is only…

High Energy Physics - Theory · Physics 2017-07-19 Marc Gillioz

Results of perturbation theory in quantum field theory generally depend on the renormalization scheme that is in use. In particular, they depend on the scale. We try to make perturbation theory scheme invariant by re-expanding with respect…

High Energy Physics - Phenomenology · Physics 2009-11-10 Chris Dams , Ronald Kleiss

We show that the requirement that a SU(N) Yang-Mills action (gauge fixed in a linear covariant gauge) is invariant under both the Becchi-Rouet-Stora-Tyutin (BRST) symmetry as well as the corresponding antiBRST symmetry, automatically…

High Energy Physics - Theory · Physics 2013-11-13 D. Binosi , A. Quadri

The coincidence problem is studied in the effective Yang-Mills condensate dark energy model. As the effective YM Lagrangian is completely determined by quantum field theory, there is no adjustable parameter in this model except the energy…

Astrophysics · Physics 2010-11-11 Wen Zhao , Yang Zhang

We consider the problem of removing the divergences in an arbitrary gauge-field theory (possibly nonrenormalizable). We show that this can be achieved by performing, order by order in the loop expansion, a redefinition of some parameters…

High Energy Physics - Theory · Physics 2009-10-22 Damiano Anselmi

We show that for N = 1 supersymmetric Yang-Mills theory it is possible to build an off-shell nilpotent BRST and anti-BRST algebra in terms of a BRST superspace formalism. This is based on the introduction of the basic fields of the…

High Energy Physics - Theory · Physics 2023-07-19 A Meziane , Mohamed Tahiri

We argue that the chiral anomaly of $\Ncal = 1$ super Yang-Mills theory admits a dual description as spontaneous symmetry breaking in M theory on $G_2$ holonomy manifolds. We identify an angle of the $G_2$ background dual to the anomalous…

High Energy Physics - Theory · Physics 2009-11-10 Umut Gursoy , Sean A. Hartnoll , Ruben Portugues

We construct 7-dimensional quantum field theories encoding the anomalies of conformal field theories with (2,0) supersymmetry in six dimensions. We explain how the conformal blocks of the (2,0) theories arise in this context. A result of…

High Energy Physics - Theory · Physics 2017-06-19 Samuel Monnier

We discuss the algebraic structure of the various BRST symmetries associated with topological Yang-Mills theory as a generalization of the BRS analysis developed for the non-Abelian anomaly in the local Yang-Mills theory. We show that our…

High Energy Physics - Theory · Physics 2008-02-03 Jae-Suk Park

New clues for the best understanding of the nature of the symmetry-breaking mechanism are revealed in this paper. A revision of the standard gauge transformation properties of Yang-Mills fields, according to a group approach to quantization…

High Energy Physics - Theory · Physics 2008-11-26 M. Calixto , V. Aldaya

We prove that static, spherically symmetric, asymptotically flat, regular solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups, at least for the ``generic" case. This conclusion is derived without explicit…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Othmar Brodbeck , Norbert Straumann

We discuss some formal aspects of quantum anomalies with an emphasis on the regularization of field theory. We briefly review how ambiguities in perturbation theory have been resolved by various regularization schemes. To single out the…

High Energy Physics - Theory · Physics 2015-06-25 Kazuo Fujikawa

Using standard field theoretical techniques, we survey pure Yang-Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent.…

High Energy Physics - Theory · Physics 2009-10-31 T. Krajewski , R. Wulkenhaar