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A gauge field treatment of a current, oscillating at a fixed frequency, of interacting neutral atoms leads to a set of matter-wave duals to Maxwell's equations for the electromagnetic field. In contrast to electromagnetics, the velocity of…

Quantum Physics · Physics 2023-10-02 Dana Z. Anderson , Katarzyna Krzyzanowska

We suggest an infinite-dimensional extension of the gauge transformations which includes non-Abelian tensor gauge fields. Extended gauge transformations of non-Abelian tensor gauge fields form a new large group which has natural geometrical…

High Energy Physics - Theory · Physics 2009-09-20 G. Savvidy

By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually non-commutative), we derive a new class of higher-rank tensor…

Strongly Correlated Electrons · Physics 2020-11-13 Juven Wang , Shing-Tung Yau

The possibility of non-trivial representations of the gauge group on wavefunctionals of a gauge invariant quantum field theory leads to a generation of mass for intermediate vector and tensor bosons. The mass parameters m show up as central…

High Energy Physics - Theory · Physics 2009-10-31 M. Calixto , V. Aldaya

We generalise our previous formulation of gauge-invariant PT-symmetric field theories to include models with non-Abelian symmetries and discuss the extension to such models of the Englert-Brout-Higgs-Kibble mechanism for generating masses…

High Energy Physics - Theory · Physics 2020-02-10 Jean Alexandre , John Ellis , Peter Millington , Dries Seynaeve

We present a procedure of differential renormalization at the one loop level which avoids introducing unnecessary renormalization constants and automatically preserves abelian gauge invariance. The amplitudes are expressed in terms of a…

High Energy Physics - Theory · Physics 2009-10-30 F. del Aguila , A. Culatti , R. Munoz-Tapia , M. Perez-Victoria

Non-trivial, consistent interactions of a free, massless tensor field t_{\mu \nu |\alpha \beta} with the mixed symmetry of the Riemann tensor are studied in the following cases: self-couplings, cross-interactions with a Pauli-Fierz field…

High Energy Physics - Theory · Physics 2009-11-10 C. Bizdadea , C. C. Ciobirca , E. M. Cioroianu , S. O. Saliu , S. C. Sararu

This paper investigates the non-commutative version of the Abelian Higgs model at the one loop level. We find that the BRST invariance of the theory is maintained at this order in perturbation theory, rendering the theory one-loop…

High Energy Physics - Theory · Physics 2009-11-07 Frank J. Petriello

We calculate the bispectrum of scale-invariant tensor modes sourced by spectator SU(2) gauge fields during inflation in a model containing a scalar inflaton, a pseudoscalar axion and SU(2) gauge fields. A large bispectrum is generated in…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Aniket Agrawal , Tomohiro Fujita , Eiichiro Komatsu

A formulation of (non-anticommutative) N=1/2 supersymmetric U(N) gauge theory in noncommutative space is studied. We show that at one loop UV/IR mixing occurs. A generalization of Seiberg-Witten map to noncommutative and non-anticommutative…

High Energy Physics - Theory · Physics 2008-11-26 O. F. Dayi , L. T. Kelleyane

Here, we introduce and apply non-Abelian tensor Berry connections to topological phases in multi-band systems. These gauge connections behave as non-Abelian antisymmetric tensor gauge fields in momentum space and naturally generalize…

Mesoscale and Nanoscale Physics · Physics 2021-06-18 Giandomenico Palumbo

For non-Abelian tensor gauge fields of the lower rank we have found an alternative expression for the field strength tensors, which transform homogeneously with respect to the complementary gauge transformations and allow us to construct…

High Energy Physics - Theory · Physics 2008-11-26 Jessica K. Barrett , George Savvidy

Chiral antisymmetric tensor fields can have chiral couplings to quarks and leptons. Their kinetic terms do not mix different representations of the Lorentz symmetry and a local mass term is forbidden by symmetry. The chiral couplings to the…

High Energy Physics - Theory · Physics 2008-11-26 C. Wetterich

We analyze to all perturbative orders the properties of two possible quantum extensions of classically on-shell equivalent antisymmetric tensor gauge models in four dimensions. The first case, related to the soft breaking of a topological…

High Energy Physics - Theory · Physics 2010-04-06 G. Bandelloni A. Blasi

We construct the duality-symmetric actions for a large class of six-dimensional models describing hierarchies of non-Abelian scalar, vector and tensor fields related to each other by first-order (self-)duality equations that follow from…

High Energy Physics - Theory · Physics 2013-08-09 Igor Bandos , Henning Samtleben , Dmitri Sorokin

For non-Abelian tensor gauge fields we have found an alternative form of duality transformation, which has the property that the direct and the inverse transformations coincide. This duality transformation has the desired property that the…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian Guttenberg , George Savvidy

A general method to build the entanglement renormalization (cMERA) for interacting quantum field theories is presented. We improve upon the well-known Gaussian formalism used in free theories through a class of variational non-Gaussian…

High Energy Physics - Theory · Physics 2019-10-02 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana , Emilio Torrente-Lujan

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 generalization of the standard electroweak model to noncommutative spacetime would involve a product gauge group which is spontaneously broken. Gauge interactions in terms of physical gauge bosons are canonical with respect to massless…

High Energy Physics - Theory · Physics 2009-11-07 Yi Liao

This review is devoted to the Schwinger and Fronsdal theory of Abelian tensor gauge fields. The theory describes the propagation of free massless gauge bosons of integer helicities and their interaction with external currents.…

High Energy Physics - Theory · Physics 2009-09-09 Sebastian Guttenberg , George Savvidy