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We describe the conjectured holographic duality between Yang-Mills quantum mechanics and type IIa string theory. This duality allows us to use lattice Monte Carlo simulations to probe the physics of the gravitational theory - for example,…

High Energy Physics - Lattice · Physics 2008-11-26 Simon Catterall , Toby Wiseman

The Yang-Mills functional integral is studied in an axial variant of 't Hooft's maximal Abelian gauge. In this gauge Gau\ss ' law can be completely resolved resulting in a description in terms of unconstrained variables. Compared to…

High Energy Physics - Theory · Physics 2009-10-30 H. Reinhardt

A modification of the gauge theory is proposed, in which the set of generalized coordinates is supplemented with symmetry transformation parameters, and a condition is additionally imposed on the latter that ensures the classical character…

High Energy Physics - Theory · Physics 2020-08-17 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

We argue that the non gauge invariant coupling between torsion and the Maxwell or Yang-Mills fields in Einstein-Cartan theory can not be ignored. Arguments based in the existence of normal frames in neighbourhoods, and an approximation to a…

General Relativity and Quantum Cosmology · Physics 2013-03-11 Miguel Socolovsky

In this note a lately proposed gravity dual of noncommutative Yang-Mills theory is derived from the relations, recently suggested by Seiberg and Witten, between closed string moduli and open string moduli. The only new input one needs is a…

High Energy Physics - Theory · Physics 2009-10-31 Miao Li , Yong-Shi Wu

An intersection of Yang-Mills theory with the gauge description of general relativity is considered. This intersection has its origin in a generalized algebra, where the generators of the SO(3,1) group as gauge group of general relativity…

High Energy Physics - Theory · Physics 2012-08-07 Martin Kober

It is well known that by using the infinite dimensional symmetries that issue from string theories, one can build 2D geometric field theories. These 2D field theories can be identified with gravitational and gauge anomalies that arise in…

High Energy Physics - Theory · Physics 2008-02-03 R. P. Lano , V. G. J. Rodgers

Quantum Yang-Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of…

High Energy Physics - Theory · Physics 2017-08-23 Dmitri Diakonov

This article contains an overview of some recent attempts at understanding supergravity and string duals of four dimensional gauge theories using the AdS/CFT correspondence. We discuss the general philosophy underlying the various ways to…

High Energy Physics - Theory · Physics 2008-11-26 F. Bigazzi , A. L. Cotrone , M. Petrini , A. Zaffaroni

We discuss the effective string picture for the confining regime of lattice gauge theories at zero and finite temperature. We present results of extensive Monte Carlo simulations - performed with the Luscher and Weisz algorithm - for SU(2)…

High Energy Physics - Lattice · Physics 2009-11-10 M. Caselle , M. Pepe , A. Rago

A generating function for the Parke-Taylor amplitudes with any number of positive helicity gravitons in addition to the positive helicity gluons is obtained using the recently constructed self-dual classical solution of the type of…

High Energy Physics - Theory · Physics 2009-10-30 K. Selivanov

In this paper using the Clifford bundle formalism a Lagrangian theory of the Yang-Mills type (with a gauge fixing term and an auto interacting term) for the gravitational field in Minkowski spacetime is presented. It is shown how two simple…

Mathematical Physics · Physics 2009-06-23 Eduardo A. Notte-Cuello , Waldyr A. Rodrigues

We develop new mathematical tools for the study of the double copy and colour-kinematics duality for tree-level scattering amplitudes using the properties of Lie polynomials. We show that the $S$-map that was defined to simplify…

High Energy Physics - Theory · Physics 2023-07-26 Hadleigh Frost , Carlos R. Mafra , Lionel Mason

After adding auxiliary fields and integrating out the original variables, the Yang-Mills action can be expressed in terms of local gauge invariant variables. This method reproduces the known solution of the two dimensional $SU(N)$ theory.…

High Energy Physics - Theory · Physics 2009-10-28 O. Ganor , J. Sonnenschein

We discuss a variation of quadratic gravity in which the gravitational interaction remains weakly coupled at all energies, but is assisted by a Yang-Mills gauge theory which becomes strong at the Planck scale. The Yang-Mills interaction is…

High Energy Physics - Theory · Physics 2018-06-20 John F. Donoghue , Gabriel Menezes

We suggest an extension of the gauge principle which includes tensor gauge fields. In this extension of the Yang-Mills theory the vector gauge boson becomes a member of a bigger family of gauge bosons of arbitrary large integer spins. The…

High Energy Physics - Theory · Physics 2016-05-25 George Savvidy

We present a computation of the k-string tension in the large N limit of the two dimensional lattice Yang-Mills theory. It is well known that the problems of computing the partition function and the Wilson loop can be both reduced to a…

High Energy Physics - Lattice · Physics 2011-03-28 Joanna L. Karczmarek , Gordon W. Semenoff , Shuhang Yang

The classical Yang--Mills equations are analyzed within the geometrical framework of an effective gravity theory. Exact analytical solutions are derived for the cylindrically symmetric configurations of the coupled gauge and isoscalar…

High Energy Physics - Theory · Physics 2007-05-23 Yuri N. Obukhov

We demonstrate that the tree level amplitudes and the explicit formulas of soft factors can be uniquely determined by soft theorems and the universality of soft factors. By imposing the soft theorems and the universality, as well as the…

High Energy Physics - Theory · Physics 2026-05-05 Kang Zhou

The first order form of the Yang-Mills and Einstein-Hilbert actions are quantized, and it is shown how Green's functions computed using the first and the second order form of these theories are related. Next we show how by use of Lagrange…

High Energy Physics - Theory · Physics 2021-04-12 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon