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The gauge theory is the most important type of the field theory, in which the interactions of the elementary particles are described by the exchange of the gauge bosons.In this article, the gauge theory is reexamined as geometry of the…

General Physics · Physics 2016-11-29 Kozo Koizumi

We motivate and explore the possibility that extra SU(N) gauge groups may exist independently of the Standard Model groups, yet not be subgroups of some grand unified group. We study the running of the coupling constants as a potential…

High Energy Physics - Phenomenology · Physics 2009-07-30 John F. Donoghue , Preema Pais

By considering specific limits in the gauge coupling constant of pure Yang--Mills dynamics, it is shown how there exist topological quantum field theory sectors in such systems defining nonperturbative topological configurations of the…

High Energy Physics - Theory · Physics 2007-05-23 Jan Govaerts

In this paper, a general theory on unification of non-Abelian SU(N) gauge interactions and gravitational gauge interactions is discussed. SU(N) gauge interactions and gravitational gauge interactions are formulated on the similar basis and…

High Energy Physics - Theory · Physics 2008-11-26 Ning Wu

From the humble beginnings of particle physics to groundbreaking discoveries, the journey of particle physics has revolutionized our understanding of the universe. The progression of particle physics, begin from the discovery of new…

High Energy Physics - Phenomenology · Physics 2026-05-28 Lisha , Suyash Mehta , Neelu Mahajan

Gauge field theories may quite generally be defined as describing the coupling of a matter-field to an interaction-field, and they are suitably represented in the mathematical framework of fiber bundles. Their underlying principle is the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Holger Lyre

In [29], Plebanski reformulated the anti-self-dual Einstein equations with non-zero scalar curvature as a first order PDE for a connection in an SO(3)-bundle over the four-manifold. The aim of this article is to place this differential…

Differential Geometry · Mathematics 2011-11-30 Joel Fine

We obtain alternative expressions for the multigraviton tree level amplitudes and discuss their general properties. In particular, by analogy with Yang-Mills theory, we find that some combinatoric structure can be carried by a Chan-Paton…

High Energy Physics - Theory · Physics 2009-11-11 Yasuhiro Abe

Attempts to improve LGT simulation algorithms by Fourier space preconditioning have been handicapped by the gauge dependence of momenta, familiar from perturbation theory. The continuum theory has a gauge invariant energy-momentum density,…

High Energy Physics - Lattice · Physics 2025-09-04 Herbert Neuberger

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

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

This report presents some studies of the gauge/string theory correspondence, a deep relation that is possible to establish between quantum field theories with local gauge symmetry and superstring theories including gravity. In its original…

High Energy Physics - Theory · Physics 2007-05-23 Emiliano Imeroni

The proper resolution of the so-called measurement problem requires a "top-down" conception of the quantum world that is opposed to the usual "bottom-up" conception, which builds on an intrinsically and maximally differentiated manifold.…

Quantum Physics · Physics 2011-05-25 Ulrich Mohrhoff

Using the Non-Abelian Batalin-Vilkovisky formalism introduced recently, we present a generalization of the Yang-Mills gauge transformations , to include antisymmetric tensor fields as gauge bosons. The Freedman-Townsend transformation for…

High Energy Physics - Theory · Physics 2007-05-23 Jorge Alfaro

We suggest that four dimensional massive gauge vectors could be described by coupling ordinary Yang-Mills theory to a topological gauge theory. For this the coupling should excite a nontrivial degree of freedom from the topological theory,…

High Energy Physics - Phenomenology · Physics 2009-10-28 Antti J. Niemi

This series of lectures is planned as a generalization of author's large (more than fifteen years) experience of work in the theoretical physics. The modern theoretical physics is based on the group-theoretical approach which generates the…

Mathematical Physics · Physics 2007-05-23 Leonid D. Lantsman

We show that the presence of finite-size monopoles can lead to a number of interesting physical processes involving quantum entanglement of charges. Taking as a model the classical solution of the N=2 SU(2) Yang-Mills theory, we study…

High Energy Physics - Theory · Physics 2009-11-07 R. Iengo , J. G. Russo

On a mathematically foundational level, our most successful physical theories (gauge field theories and general-relativistic theories) are formulated in a framework based on the differential geometry of connections on principal bundles.…

History and Philosophy of Physics · Physics 2025-05-27 Philipp Berghofer , Jordan François , Lucrezia Ravera

We introduce topological gauge fields as nontrivial field configurations enforced by topological currents. These fields crucially determine the form of statistical gauge fields that couple to matter and transmute their statistics. We…

Quantum Gases · Physics 2023-01-04 Gerard Valentí-Rojas , Aneirin J. Baker , Alessio Celi , Patrik Öhberg

A non-Abelian theory of fermions interacting with gauge bosons, the constrained system, is studied. The equations of motion for a singular system are obtained as total differential equations in many variables. The integrability conditions…

General Physics · Physics 2023-08-30 Walaa I. Eshraim
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