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A formalism is presented which allows covariant three-dimensional bound-state equations to be derived systematically from four-dimensional ones without the use of delta-functions. The amplitude for the interaction of a bound state described…

Nuclear Theory · Physics 2009-04-17 D. R. Phillips , S. J. Wallace

Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making…

As a preparation for its quantization in the loop formalism, the 2-dimensional gravitation model of Jackiw and Teitelboim is analysed in the classical canonical formalism. The dynamics is of pure constraints as it is well-known. A partial…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clisthenis P. Constantinidis , Jose Andre Lourenco , Ivan Morales , Olivier Piguet , Alex Rios

Finite BRST-BV transformations are studied systematically within the W-X formulation of the standard and the Sp(2)-extended field-antifield formalism. The finite BRST-BV transformations are introduced by formulating a new version of the Lie…

High Energy Physics - Theory · Physics 2016-03-23 Igor A. Batalin , Klaus Bering , Peter M. Lavrov

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this…

High Energy Physics - Theory · Physics 2009-11-07 M. Botta Cantcheff , J. A. Helayël-Neto

We prove that Riemannian metrics in General Relativity in the \emph{`normal-coordinates'} gauge are in one-to-one correspondence with curvature 2-forms. We discuss how this can be used as a change of variables in the operator formalism to…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Praveen Dennis Xavier

We display properties of the general formalism which associates to any given gauge symmetry a topological action and a system of topological BRST and anti-BRST equations. We emphasize the distinction between the antighosts of the…

High Energy Physics - Theory · Physics 2008-02-03 Laurent Baulieu

We develop a novel approach to gravity in which gravity is described by a matrix-valued symmetric two-tensor field and construct an invariant functional that reduces to the standard Einstein-Hilbert action in the commutative limit. We also…

High Energy Physics - Theory · Physics 2007-05-23 Ivan Avramidi

We study the quantization of many-body systems in three dimensions in rotating coordinate frames using a gauge invariant formulation of the dynamics. We consider reference frames defined by linear gauge conditions, and discuss their Gribov…

Quantum Physics · Physics 2008-11-26 Antonio O. Bouzas , Jose Mendez Gamboa

We study the topological mass generation in the 4 dimensional nonabelian gauge theory, which is the extension of the Allen $et$ $al.$'s work in the abelian theory. It is crucial to introduce a one form auxiliary field in constructing the…

High Energy Physics - Theory · Physics 2009-10-28 Dae Sung Hwang , Chang-Yeong Lee

The preceding talks given at this conference have dealt mainly with general ideas for, main problems of and techniques for the task of quantizing gravity canonically. Since one of the major motivations to arrange for this meeting was that…

General Relativity and Quantum Cosmology · Physics 2015-06-25 T. Thiemann

We review some aspects of gauged WZW models. By choosing a nilpotent subgroup as gauge group, one is lead to three main applications: the construction of field theories with an extended conformal symmetry, the construction of the effective…

High Energy Physics - Theory · Physics 2007-05-23 A. Sevrin

Nonlocal gravity models are constructed to explain the current acceleration of the universe. These models are inspired by the infrared correction appearing in Einstein Hilbert action. Here we develop the Hamiltonian formalism of a nonlocal…

General Relativity and Quantum Cosmology · Physics 2021-12-28 Pawan Joshi , Utkarsh Kumar , Sukanta Panda

We argue that four-dimensional quantum gravity may be essentially renormalizable if one relaxes the assumption of metricity of the theory. We work with Plebanski formulation of general relativity in which the metric (tetrad), the…

High Energy Physics - Theory · Physics 2007-05-23 Kirill Krasnov

In the presence of consistent regulators, the standard procedure of BRST gauge fixing (or moving from one gauge to another) can require non-trivial modifications. These modifications occur at the quantum level, and gauges exist which are…

High Energy Physics - Theory · Physics 2009-10-28 P. H. Damgaard , F. De Jonghe , R. Sollacher

We consider a general reducible gauge theory deformed by mass or/and interaction terms violating gauge invariance. It is shown that in the Abelian case, by using the Stueckelberg-type procedure, this theory with broken gauge symmetry can be…

High Energy Physics - Theory · Physics 2026-05-12 A. A. Averianov , A. O. Barvinsky , I. L. Buchbinder , V. A. Krykhtin , D. V. Nesterov

We apply the well-established techniques of geometrical superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism in the context of four (3 + 1)-dimensional (4D) dynamical non-Abelian 2-form gauge theory by exploiting its inherent…

High Energy Physics - Theory · Physics 2015-05-19 S. Krishna , A. Shukla , R. P. Malik

A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak

The lack of evidence for a TeV-mass graviton has been construed as constricting the Randall-Sundrum model. However, a doubly-warped generalization naturally avoids such restrictions. We develop, here, the formalism for extension of the…

High Energy Physics - Theory · Physics 2015-10-02 Mathew Thomas Arun , Debajyoti Choudhury

We reinvestigate Yokoyama's gaugeon formalism for the spontaneously broken Abelian gauge theory. Within the framework of the covariant linear gauges, we give a general gauge-fixing Lagrangian which includes the gauge field, the Goldstone…

High Energy Physics - Theory · Physics 2008-11-26 Hikaru Miura , Ryusuke Endo