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Related papers: Background independence in gauge theories

200 papers

In this work, we construct a BRST-exact quartet mechanism in $SU(3)$ Yang-Mills theory in the Landau gauge. The quartet sector is cohomologically trivial in the standard vacuum, ensuring equivalence to pure Yang-Mills theory. The…

High Energy Physics - Theory · Physics 2026-05-18 M. M. Amaral , V. E. R. Lemes

Closed string theory exhibits an O(D,D) duality symmetry on tori, which in double field theory is manifest before compactification. I prove that to first order in $\alpha'$ there is no manifestly background independent and duality invariant…

High Energy Physics - Theory · Physics 2017-04-05 Olaf Hohm

We consider the Einstein-Cartan theory with the tetrad $e_{\mu}^{a}$ and spin connection $\omega_{\mu ab}$ taken as being independent fields. Diffeomorphism invariance and local Lorentz invariance result in there being two distinct gauge…

High Energy Physics - Theory · Physics 2025-06-05 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

We raise the issue whether gauge theories, that are not renormalizable in the usual power-counting sense, are nevertheless renormalizable in the modern sense that all divergences can be cancelled by renormalization of the infinite number of…

High Energy Physics - Theory · Physics 2010-04-06 Joaquim Gomis , Steven Weinberg

The implementation of the Background Field Method (BFM) for quantum field theories is analysed within the Batalin-Vilkovisky (BV) formalism. We provide a systematic way of constructing general splittings of the fields into classical and…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , T. Hurth , A. Quadri

The recent formulation of locally covariant quantum field theory may open the way towards a background independent perturbative formulation of Quantum Gravity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Romeo Brunetti , Klaus Fredenhagen

We derive Yang-Mills vertex operators for (super)string theory whose BRST invariance requires only the free gauge-covariant field equation and no gauge condition. Standard conformal field theory methods yield the three-point vertices…

High Energy Physics - Theory · Physics 2010-04-05 Haidong Feng , Warren Siegel

We analyse in detail the local BRST cohomology in Einstein-Yang-Mills theory using the antifield formalism. We do not restrict the Lagrangian to be the sum of the standard Hilbert and Yang-Mills Lagrangians, but allow for more general…

High Energy Physics - Theory · Physics 2015-06-26 Glenn Barnich , Friedemann Brandt , Marc Henneaux

Interacting fields can be constructed as formal power series in the framework of causal perturbation theory. The local field algebra $\tilde {\cal F}({\cal O})$ is obtained without performing the adiabatic limit; the (usually bad) infrared…

High Energy Physics - Theory · Physics 2009-10-31 M. Duetsch , K. Fredenhagen

I briefly review the Gribov ambiguity of Yang-Mills theory, some of its features and attempts to control it, in particular the Gribov-Zwanziger proposal to restrict the functional integration in the Landau gauge to the Gribov region. This…

High Energy Physics - Theory · Physics 2015-06-18 Olaf Lechtenfeld

Spontaneous Lorentz violation realized through a nonlinear vector field constraint of the type $A_{\mu}A^{\mu}=M^{2}$ ($M$ is the proposed scale for Lorentz violation) is shown to generate massless vector Goldstone bosons, gauging the…

High Energy Physics - Theory · Physics 2008-11-26 J. L. Chkareuli , C. D. Froggatt , J. G. Jejelava , H. B. Nielsen

We critically examine the gauge, and field-parametrization dependence of renormalization group flows in the vicinity of non-Gau\ss{}ian fixed points in quantum gravity. While physical observables are independent of such calculational…

High Energy Physics - Theory · Physics 2015-10-14 Holger Gies , Benjamin Knorr , Stefan Lippoldt

The gauge symmetry is said unfree if the gauge transformation leaves the action functional unchanged provided for the gauge parameters are constrained by the system of partial differential equations. The best known example of this…

High Energy Physics - Theory · Physics 2023-04-21 V. A. Abakumova , S. L. Lyakhovich

The purpose of this paper is to investigate the gauge symmetry of classical field theories in integral formalism. A gauge invariant theory is defined in terms of the invariance of the physical observables under the coordinate…

High Energy Physics - Theory · Physics 2007-05-23 Chen Ying , He Bing , Lin He , Wu Ji-Min

We show that a class of topological field theories are quantum duals of the harmonic oscillator. This is demonstrated by establishing a correspondence between the creation and annihilation operators and non-local gauge invariant observables…

High Energy Physics - Theory · Physics 2009-11-11 Viqar Husain

We discuss the issue of observables in general-relativistic perturbation theory, adopting the view that any observable in general relativity is represented by a scalar field on spacetime. In the context of perturbation theory, an observable…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Marco Bruni , Sebastiano Sonego

Using the construction of D-branes with nonzero $B$ field in the matrix model we give a physical interpretation of the known background independence in gauge theories on a noncommutative space. The background independent variables are…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Seiberg

We consider a generic gauge system, whose physical degrees of freedom are obtained by restriction on a constraint surface followed by factorization with respect to the action of gauge transformations; in so doing, no Hamiltonian structure…

High Energy Physics - Theory · Physics 2011-09-29 S. L. Lyakhovich , A. A. Sharapov

It is shown that in the first order gauge theories under some general assumptions gauge conditions can play the role of new local symmetry generators, while the original constraints become gauge fixing terms. It is possible to associate…

High Energy Physics - Theory · Physics 2008-11-26 M. Stoilov

Subobject independence as morphism co-possibility has recently been defined in [2] and studied in the context of algebraic quantum field theory. This notion of independence is handy when it comes to systems coming from physics, but when…

Category Theory · Mathematics 2023-06-21 Zalán Gyenis , Alexa Gopaulsingh , Övge Öztürk