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We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge…

High Energy Physics - Theory · Physics 2009-11-07 Grigorii B. Pivovarov , James P. Vary

We consider the gravitational correction to the running of gauge coupling. Weak gravity conjecture implies that the gauge theories break down when the gravitational correction becomes greater than the contribution from gauge theories. This…

High Energy Physics - Theory · Physics 2010-10-27 Qing-Guo Huang

Gravity can be formulated as a gauge theory by combining symmetry principles and geometrical methods in a consistent mathematical framework. The gauge approach to gravity leads directly to non-Euclidean, post-Riemannian spacetime…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

We start by describing two of the main proposals for duality in Abelian gauge theories, namely $F$(ield strength)-duality approach and the $S$% -duality formalism. We then discuss how $F$-duality and $S$-duality can be applied to the case…

High Energy Physics - Theory · Physics 2014-05-27 J. A. Nieto , E. A. Leon

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

We describe topological gauge theories for which duality properties are encoded by construction. We study them for compact manifolds of dimensions four, eight and two. The fields and their duals are treated symmetrically, within the context…

High Energy Physics - Theory · Physics 2009-10-31 L Baulieu , S. L. Shatashvili

Duality groups of Abelian gauge theories on four manifolds and their reduction to two dimensions are considered. The duality groups include elements that relate different space-times in addition to relating different gauge-coupling…

High Energy Physics - Theory · Physics 2009-10-30 A. Giveon , M. Porrati

A common biquadratic potential for the Higgs field $h$ and an additional scalar field $\phi$, non minimally coupled to gravity, is considered in locally scale symmetric approaches to standard model fields in curved spacetime. A common…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Erhard Scholz

Gauge-invariant quantum fields are constructed in an Abelian power-counting renormalizable gauge theory with both scalar, vector and fermionic matter content. This extends previous results already obtained for the gauge-invariant…

High Energy Physics - Theory · Physics 2024-10-08 Andrea Quadri

A model for quantized gravity coupled to matter in the form of a single scalar field is investigated in four dimensions. For the metric degrees of freedom we employ Regge's simplicial discretization, with the scalar fields defined at the…

High Energy Physics - Theory · Physics 2009-10-22 Herbert W. Hamber , Ruth M. Williams

Topologically non-trivial gauge field configurations are an interesting aspect of non-abelian gauge theories. These become particularly important upon quantizing the theory, especially through their effect on the pseudo-scalar spectrum.…

High Energy Physics - Lattice · Physics 2014-11-07 Michael Creutz

We argue a smallness of gauge couplings in abelian quiver gauge theories, taking the anomaly cancellation condition into account. In theories of our interest there exist chiral fermions leading to chiral gauge anomalies, and an anomaly-free…

High Energy Physics - Theory · Physics 2020-11-17 Yoshihiko Abe , Tetsutaro Higaki , Rei Takahashi

We discuss some aspects of the relation between dualities and gauge symmetries. Both of these ideas are of course multi-faceted, and we confine ourselves to making two points. Both points are about dualities in string theory, and both have…

History and Philosophy of Physics · Physics 2016-03-29 Sebastian De Haro , Nicholas Teh , Jeremy N. Butterfield

We study the impact of quantum gravity on a system of chiral fermions that are charged under an Abelian gauge group. Under the impact of quantum gravity, a finite value of the gauge coupling could be generated and in turn drive four-fermion…

High Energy Physics - Theory · Physics 2021-06-02 Gustavo P. de Brito , Astrid Eichhorn , Marc Schiffer

We study the Weak Gravity Conjecture in the presence of scalar fields. The Weak Gravity Conjecture is a consistency condition for a theory of quantum gravity asserting that for a U(1) gauge field, there is a particle charged under this…

High Energy Physics - Theory · Physics 2023-02-23 Clemens Vittmann

Abelian duality on the closed three-dimensional Riemannian manifold M is discussed. Partition functions for the ordinary U(1) gauge theory and a circle-valued scalar field theory on M are explicitly calculated and compared. It is shown that…

High Energy Physics - Theory · Physics 2009-11-07 Boguslaw Broda , Grzegorz Duniec

We construct a U(1) gerbe with a connection over a finite-dimensional, classical phase space P. The connection is given by a triple of forms A,B,H: a potential 1-form A, a Neveu-Schwarz potential 2-form B, and a field-strength 3-form H=dB.…

High Energy Physics - Theory · Physics 2008-11-26 J. M. Isidro , M. A. de Gosson

The nature of gravitational singularities has been questioned by some recent research, challenging the notion that classical determinism breaks down at these points. By allowing for dynamic changes in the orientation of spatial…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Martina Adamo , Flavio Mercati

The effective equations of motion for low-frequency mean gauge fields in the Abelian Higgs model are investigated in the presence of a scalar condensate, near the high temperature equilibrium. We determine the current induced by an…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Jakovac , A. Patkos , Zs. Szep

Gravity can be considered as an effective quantum field theory with reliable, but limited predictions. Though the influence of gravity on gauge and other interactions of elementary particles is still an open question. We calculate the…

High Energy Physics - Phenomenology · Physics 2017-06-15 G. Cynolter , E. Lendvai