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Perturbative quantization of Yang-Mills theory with a gauge algebra given by the classical double of a semisimple Lie algebra is considered. The classical double of a real Lie algebra is a nonsemisimple real Lie algebra that admits a…

High Energy Physics - Theory · Physics 2022-01-24 F. Ruiz Ruiz

Second order corrections to the perturbative ground state wave functional and vacuum energy of a Yang-Mills theory are calculated in the temporal gauge. Using dimensional regularization, the concepts of renormalization and a running…

High Energy Physics - Theory · Physics 2017-01-19 Scott Chapman

String-inspired 1+1-dimensional gravity is coupled to Yang-Mills fields in the Cangemi-Jackiw gauge-theoretical formulation, based on the extended Poincar\'e group. A family of couplings, which involves metrics obtainable from the physical…

High Energy Physics - Theory · Physics 2011-09-09 G. Amelino-Camelia , D. Bak , D. Seminara

We analyze actions for 2D supergravities induced by chiral conformal supermatter. The latter may be thought as described at the classical level by superspace actions invariant under super-reparametrization, super-Weyl and super-Lorentz…

High Energy Physics - Theory · Physics 2009-10-22 Fiorenzo Bastianelli , Ulf Lindstrom

By invoking an asymmetric metric tensor, and borrowing ideas from non-commutative geometry, string theory, and trace dynamics, we propose an action function for quantum gravity. The action is proportional to the four dimensional…

General Relativity and Quantum Cosmology · Physics 2019-07-01 Tejinder P. Singh

Recently, the Yang-Mills gradient flow is found to be a useful concept not only in lattice simulations but also in continuous field theories. Since its smearing property is similar to the Wilsoninan "block spin transformation", there might…

High Energy Physics - Lattice · Physics 2016-07-29 Ryo Yamamura

We quantize pure 2d Yang-Mills theory on a torus in the gauge where the field strength is diagonal. Because of the topological obstructions to a global smooth diagonalization, we find string-like states in the spectrum similar to the ones…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'Adda , P. Provero

We provide an explicit construction of a manifestly duality invariant, interacting deformation of Maxwell theory in four dimensions in terms of mutually local, but interacting 1- and 3-forms. Interestingly, our theory is formulated directly…

High Energy Physics - Theory · Physics 2026-01-12 Carlo Alberto Cremonini , Erik Hundeshagen , Ivo Sachs

We argue that the Einstein-Yang-Mills theory presents nontrivial solutions with a NUT charge. These solutions approach asymptotically the Taub-NUT spacetime. They are characterized by the NUT parameter, the mass and the node numbers of the…

High Energy Physics - Theory · Physics 2009-11-07 Eugen Radu

We discuss alternative descriptions of four-dimensional self-dual Yang-Mills fields in harmonic space with additional commuting spinor coordinates. In particular, the linear analyticity equation and nonlinear covariant harmonic-field…

High Energy Physics - Theory · Physics 2007-05-23 Olaf Lechtenfeld , Boris Zupnik

We consider a modified form of gravity, which has an extra term quadratic in the Riemann tensor. This term mimics a Yang-Mills theory. The other defining characteristic of this gravity is having the affine connection independent of the…

General Relativity and Quantum Cosmology · Physics 2008-08-05 M. Chaves

The nonlocal mass operator $Tr \int d^4x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ is considered in Yang-Mills theories in Euclidean space-time. It is shown that the operator $Tr \int d^4x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ can be cast in local form…

High Energy Physics - Theory · Physics 2008-11-26 M. A. L. Capri , D. Dudal , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , H. Verschelde

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

The loop representation of quantum gravity has many formal resemblances to a background-free string theory. In fact, its origins lie in attempts to treat the string theory of hadrons as an approximation to QCD, in which the strings…

High Energy Physics - Theory · Physics 2007-05-23 John C. Baez

The standard Feynman diagrammatic approach to quantum field theories assumes that perturbation theory approximates the full quantum theory at small coupling even when a mathematically rigorous construction of the latter is absent. On the…

Mathematical Physics · Physics 2018-02-21 Timothy Nguyen

Various gauge invariant but non-Yang-Mills dynamical models are discussed: Pr\'ecis of Chern-Simons theory in (2+1)-dimensions and reduction to (1+1)-dimensional B-F theories; gauge theories for (1+1)-dimensional gravity-matter…

High Energy Physics - Theory · Physics 2007-05-23 R. Jackiw

In this thesis quantum gauge theories are considered in the framework of local, causal perturbation theory. Gauge invariance is described in terms of the BRS formalism. Local interacting field operators are constructed perturbatively and…

High Energy Physics - Theory · Physics 2007-05-23 Franz-Marc Boas

We present simple models which exhibit some of the remarkable features expected to hold for the as yet unknown non-perturbative formulation of string theories. Among these are: (a) the absence of a background or embedding space for the full…

High Energy Physics - Theory · Physics 2008-11-26 T. Filk

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance…

High Energy Physics - Theory · Physics 2009-11-11 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , A. J. da Silva

We show that five-dimensional anti de-Sitter space remains a solution to low-energy type IIB supergravity when the leading higher-derivative corrections to the classical supergravity (which are non-perturbative in the string coupling) are…

High Energy Physics - Theory · Physics 2009-10-31 Tom Banks , Michael B. Green