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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

A new set of gauge invariant variables is defined to describe the physical Hilbert space of $d = 3 + 1$ $SU(2)$ Yang-Mills theory in the fixed-time canonical formalism. A natural geometric interpretation arises due to the $GL(3)$ covariance…

High Energy Physics - Theory · Physics 2007-05-23 Peter E. Haagensen

The metric around a wiggly cosmic string is calculated in the linear approximation of Brans-Dicke theory of gravitation. The equations of motion for relativistic and non-relativistic particles in this metric are obtained. Light propagation…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Andres Arazi , Claudio Simeone

Quantum Yang-Mills theory can be rewritten in terms of gauge-invariant variables: it has the form of the so-called BF gravity, with an additional `aether' term. The BF gravity based on the gauge group SU(N) is actually a theory of high spin…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri Diakonov , Victor Petrov

The usual description of 2+1 dimensional Einstein gravity as a Chern-Simons (CS) theory is extended to a one parameter family of descriptions of 2+1 Einstein gravity. This is done by replacing the Poincare' gauge group symmetry by a…

High Energy Physics - Theory · Physics 2009-10-30 G. Bimonte , R. Musto , A. Stern , P. Vitale

We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged to satisfy Jacobi-like identities in…

High Energy Physics - Theory · Physics 2014-11-20 Zvi Bern , Tristan Dennen , Yu-tin Huang , Michael Kiermaier

Dimensional reduction of various gravity and supergravity models leads to effectively two-dimensional field theories described by gravity coupled G/H coset space sigma-models. The transition matrices of the associated linear system provide…

High Energy Physics - Theory · Physics 2009-10-30 D. Korotkin , H. Samtleben

The present paper represents an attempt for a very generic string inspired theory of gravitation, based on a stringy action in the teleparallel gravity which includes a specific functional which depends on the scalar field and its kinetic…

General Relativity and Quantum Cosmology · Physics 2020-11-26 Sebastian Bahamonde , Mihai Marciu , Sergei D. Odintsov , Prabir Rudra

The actions of the ``$R=T$'' and string-inspired theories of gravity in (1+1) dimensions are generalized into one single action which is characterized by two functions. We discuss differing interpretations of the matter stress-energy…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. S. F. Chan , R. B. Mann

The search for a quantum theory of gravity has become one of the most well-known problems in theoretical physics. Problems quantizing general relativity because it is not renormalizable have led to a search for a new theory of gravity that,…

Mathematical Physics · Physics 2013-12-06 Timothy D. Andersen

Gravity is commonly thought of as one of the four force fields in nature. However, in standard formulations its mathematical structure is rather different from the Yang-Mills fields of particle physics that govern the electromagnetic, weak,…

General Relativity and Quantum Cosmology · Physics 2015-06-11 H. F. Westman , T. G. Zlosnik

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

We consider the 1+1 dimensional supersymmetric matrix field theory obtained from a dimensional reduction of ten dimensional ${\cal N} = 1$ super Yang-Mills, which is a matrix model candidate for non-perturbative Type IIA string theory. The…

High Energy Physics - Theory · Physics 2007-05-23 F. Antonuccio , H. C. Pauli , S. Tsujimaru

I review the analysis of (2+1)-dimensional Yang-Mills ($YM_{2+1})$ theory via the use of gauge-invariant matrix variables. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for…

High Energy Physics - Theory · Physics 2009-11-10 V. P. Nair

String theory implies a relatively modest growth in computational complexity for perturbative gravity calculations as compared to gauge theory calculations, contrary to field theory expectations. An explicit string-based calculation, which…

High Energy Physics - Theory · Physics 2011-09-29 Z. Bern , D. C. Dunbar , T. Shimada

Non-Abelian strings for an Einstein-Yang-Mills-Higgs theory are explicitly constructed. We consider N_f Higgs fields in the fundamental representation of the U(1)xSU(N_c) gauge group in order to have a color-flavor SU(N_c) group remaining…

High Energy Physics - Theory · Physics 2010-05-27 L. G. Aldrovandi

We carry out further analysis of the Hamiltonian approach to Yang-Mills theory in 2+1 dimensions which helps to place the calculation of the vacuum wave function and the string tension in the context of a systematic expansion scheme. The…

High Energy Physics - Theory · Physics 2009-10-29 Dimitra Karabali , V. P. Nair , Alexandr Yelnikov

By coupling the N=2 spinning particle to background vector fields, we construct Yang-Mills amplitudes for trees and one loop. The vertex operators are derived through coupling the BRST charge; therefore background gauge invariance is…

High Energy Physics - Theory · Physics 2011-03-02 Peng Dai , Yu-tin Huang , Warren Siegel

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

High Energy Physics - Theory · Physics 2022-07-22 Nihat Sadik Deger , Henning Samtleben

We consider two-dimensional quantum gravity coupled to matter in the temporal gauge, using the Polyakov path integral. We show that the integration over the metric can be explicitly performed under some plausible assumptions. We also…

High Energy Physics - Theory · Physics 2016-09-06 Teruhiko Kawano
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