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Related papers: Ghosts of ghosts for second class constraints

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The jet bundle description of time-dependent mechanics is revisited. The constraint algorithm for singular Lagrangians is discussed and an exhaustive description of the constraint functions is given. By means of auxiliary connections we…

Mathematical Physics · Physics 2016-08-16 M. de León , J. Marín-Solano , J. C. Marrero , M. C. Muñoz-Lecanda , N. Román-Roy

Ghost stars are compact configurations characterized by an arbitrarily small total mass. Such objects require regions of negative energy density -a condition typically regarded as unphysical within the context of conventional stellar…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Alberto Guilabert , Ernesto Fuenmayor , Pedro Bargueño , Ernesto Contreras

We compute the one-loop effective action of the Horava theory, in its nonprojectable formulation. We take the quantization of the (2+1)-dimensional theory in the Batalin-Fradkin-Vilkovisky formalism, and comment on the extension to the…

High Energy Physics - Theory · Physics 2024-04-16 Jorge Bellorin , Claudio Borquez , Byron Droguett

We show that an unambiguous and correct quantization of the second-class constrained system of a free particle on a sphere in $D$ dimensions is possible only by converting the constraints to abelian gauge constraints, which are of first…

Quantum Physics · Physics 2009-10-30 Hagen Kleinert , Sergei V. Shabanov

A toy model (suggested by Klauder) is analyzed from the perspective of First Class and Second Class Dirac constrained systems. The comparison is made by turning a First Class into a Second Class system with the introduction of suitable…

Quantum Physics · Physics 2021-08-31 Eyo Eyo Ita , Chopin Soo , Abraham Tan

First, we diagonalize the bc-ghost 3-string Neumann matrices using the technique described in hep-th/0304158. Their eigenvalues are in complete agreement with the previous authors. Second, we diagonalize the N-string gluing vertices for the…

High Energy Physics - Theory · Physics 2009-11-10 D. M. Belov

The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time…

High Energy Physics - Theory · Physics 2009-10-22 G. Barnich

$f(R)$ supergravity is known to contain a ghost mode associated with higher-derivative terms if it contains $R^n$ with $n$ greater than two.We remove the ghost in $f(R)$ supergravity by introducing auxiliary gauge field to absorb the ghost.…

High Energy Physics - Theory · Physics 2018-06-13 Toshiaki Fujimori , Muneto Nitta , Keisuke Ohashi , Yusuke Yamada

We argue that theories with ghosts may have a long lived vacuum state even if all interactions are Lorentz preserving. In space-time dimension D = 2, we consider the tree level decay rate of the vacuum into ghosts and ordinary particles…

High Energy Physics - Theory · Physics 2015-06-04 Jaume Garriga , Alexander Vilenkin

Fermions are coupled to the Einstein-Cartan system in the canonical formulation, including the cosmological, the Barbero-Immirzi, and the non-minimal coupling constants. The resulting ten first-class constraints generate gauge…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Erick I. Duque

The study of linear perturbation theory for general functions of the Ricci and Gauss-Bonnet scalars is done over an empty anisotropic universe, i.e. the Kasner-type background, in order to show that an anisotropic background in general has…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-27 Antonio De Felice , Takahiro Tanaka

The ghost sector of SU(3) gauge field theory is studied, and new BRST-invariant states are presented that do not have any analog in other SU(N) field theories. The new states come in either ghost doublets or triplets, and they appear…

High Energy Physics - Theory · Physics 2007-05-23 Scott Chapman

A new type of quantum master equation is presented which is expressed in terms of a recently introduced quantum antibracket. The equation involves only two operators: an extended nilpotent BFV-BRST charge and an extended ghost charge. It is…

High Energy Physics - Theory · Physics 2019-08-17 Igor Batalin , Robert Marnelius

We consider 2d Maxwell system defined on the Rindler space with metric ds^2=\exp(2a\xi)\cdot(d\eta^2-d\xi^2) with the goal to study the dynamics of the ghosts. We find an extra contribution to the vacuum energy in comparison with Minkowski…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Ariel R. Zhitnitsky

We construct explicit examples of globally regular static, spherically symmetric solutions in general relativity with scalar and electromagnetic fields, describing traversable wormholes with flat and AdS asymptotics and regular black holes,…

General Relativity and Quantum Cosmology · Physics 2016-03-30 S. V. Bolokhov , K. A. Bronnikov , P. A. Korolyov , M. V. Skvortsova

This paper is a natural continuation of a joint paper with Bajpai, Harder and Moya Giusti \cite{BHHM}, even though it began as an answer to Goncharov's question. It that paper, we had complete description for all representations except for…

Number Theory · Mathematics 2022-07-26 Ivan Horozov

Covariant (Lorentz invariant) fracton matter, minimally coupled and charged under a symmetric rank two gauge tensor, is considered. The gauge transformations correspond to linearized longitudinal diffeomorphisms. Consistent possible…

High Energy Physics - Theory · Physics 2024-10-24 Davide Rovere

The Becci-Rouet-Stora-Tyutin (BRST) operator quantization of a finite-dimensional gauge system featuring two quadratic super Hamiltonian and m linear supermomentum constraints is studied as a model for quantizing generally covariant gauge…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Rafael Ferraro , Daniel M. Sforza

We encounter these demons on the path towards a UV complete QFT of gravity and a horizonless replacement for black holes. The fate of the ghost is discussed in the strong coupling version of classically-scale-invariant quadratic gravity.…

General Relativity and Quantum Cosmology · Physics 2019-05-23 Bob Holdom

In a previous article, we constructed an entire power series over $p$-adic weight space (the 'ghost series') and conjectured, in the $\Gamma_0(N)$-regular case, that this series encodes the slopes of overconvergent modular forms of any…

Number Theory · Mathematics 2021-10-18 John Bergdall , Robert Pollack
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