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In perturbative quantum gravity, the sum of the classical Lagrangian density, a gauge fixing term and a ghost term is invariant under two sets of supersymmetric transformations called the BRST and the anti-BRST transformations. In this…

General Relativity and Quantum Cosmology · Physics 2011-01-25 Mir Faizal

In this paper, we will analyse the ghost condensation in the ABJM theory. We will perform our analysis in ${\cal N}=1$ superspace. We show that in the Delbourgo-Jarvis-Baulieu-Thierry-Mieg gauge the spontaneous breaking of BRST symmetry can…

High Energy Physics - Theory · Physics 2014-08-01 Mir Faizal , Sudhaker Upadhyay

Theories that spontaneously break Lorentz invariance also violate diffeomorphism symmetries, implying the existence of extra degrees of freedom and modifications of gravity. In the minimal model (``ghost condensation'') with only a single…

High Energy Physics - Theory · Physics 2009-11-11 Hsin-Chia Cheng , Markus A. Luty , Shinji Mukohyama , Jesse Thaler

We exploit boundary term to preserve the supersymmetric gauge invariance of Bagger--Lambert--Gustavsson (BLG) theory. The fermionic rigid BRST and anti-BRST symmetries are studied in linear and non-linear gauges. Remarkably, for…

High Energy Physics - Theory · Physics 2015-09-11 Sudhaker Upadhyay

We argue that the BRST and the anti-BRST super symmetries in the four-dimensional Yang-Mills theory can be spontaneously broken in a nonlinear partial gauge due to ghost-anti-ghost condensation. However, we show that the spontaneous BRST…

High Energy Physics - Theory · Physics 2007-05-23 Kei-Ichi Kondo

Ghost condensation has been recently proposed as a mechanism inducing the spontaneous breaking of Lorentz symmetry. Corrections to the Newton potential generated by a static source have been computed: they yield a limit M < 10 MeV on the…

High Energy Physics - Theory · Physics 2014-11-18 Marco Peloso , Lorenzo Sorbo

The ghost condensate model has been proposed to protect the vacuum state of the cosmological phantom model yielding the gradient instability regime and the spontaneous Lorentz symmetry breaking in the quantum level with the dispersion…

General Relativity and Quantum Cosmology · Physics 2025-09-05 Suppanat Supanyo , Pitayuth Wongjun , Lunchakorn Tannukij

In this paper we discuss the absolutely anticommuting nilpotent symmetries for perturbative quantum gravity in general curved spacetime in linear and non-linear gauges. Further, we analyze the finite field-dependent BRST (FFBRST)…

General Relativity and Quantum Cosmology · Physics 2013-11-25 Sudhaker Upadhyay

The effective potential for an on-shell BRST invariant gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge in SU(N) Yang-Mills is analysed by combining the local composite operator technique with the algebraic…

High Energy Physics - Theory · Physics 2007-06-22 D. Dudal , H. Verschelde , V. E. R. Lemes , M. S. Sarandy , S. P. Sorella , M. Picariello

We discuss the BRST and anti-BRST symmetries for perturbative quantum gravity in noncommutative spacetime. In this noncommutative perturbative quantum gravity the sum of the classical Lagrangian density with a gauge fixing term and a ghost…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Mir Faizal

Spontaneous violation of Lorentz symmetry by the vacuum condensation of an antisymmetric $2$-tensor is considered. The coset construction for nonlinear realization of spacetime symmetries is employed to build the most general low-energy…

High Energy Physics - Theory · Physics 2016-11-23 Carlos A. Hernaski

In theories with a hidden ghost sector that couples to visible matter through gravity only, empty space can decay into ghosts and ordinary matter by graviton exchange. Perturbatively, such processes can be very slow provided that the…

High Energy Physics - Theory · Physics 2009-11-11 Roberto Emparan , Jaume Garriga

The interplay between spontaneously broken gauge symmetries and Bose-Einstein condensation has long been controversially discussed in science, since the equation of motions are invariant under phase transformations. Within the present model…

Quantum Gases · Physics 2022-05-10 Alexej Schelle

Many theories of modified gravity with higher order derivatives are usually ignored because of serious problems that appear due to an additional ghost degree of freedom. Most dangerously, it causes an immediate decay of the vacuum. However,…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Frank Könnig , Henrik Nersisyan , Yashar Akrami , Luca Amendola , Miguel Zumalacárregui

We study the effect of spontaneous breaking of Lorentz invariance on black hole thermodynamics. We consider a scenario where Lorentz symmetry breaking manifests itself by the difference of maximal velocities attainable by particles of…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Dubovsky , S. M. Sibiryakov

We consider some aspects of spontaneous breaking of Lorentz Invariance in field theories, discussing the possibility that the certain tensor operators may condensate in the ground state in which case the tensor Goldstone particles would…

High Energy Physics - Theory · Physics 2008-08-27 Z. Berezhiani , O. V. Kancheli

The role of Lorentz symmetry in ghost-free massive gravity is studied, emphasizing features emerging in approximately Minkowski spacetime. The static extrema and saddle points of the potential are determined and their Lorentz properties…

General Relativity and Quantum Cosmology · Physics 2021-08-10 Alan Kostelecky , Robertus Potting

In this paper we will study perturbative quantum gravity on supermanifolds with both noncommutative and non-anticommutative coordinates. We shall first analyses the BRST and the anti-BRST symmetries of this theory. Then we will also analyze…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Mir Faizal

We consider the mechanism of spontaneous symmetry breaking of a bulk vector field to study signatures of bulk dimensions invisible to the standard model confined to the brane. By assigning a non-vanishing vacuum expectation value to the…

Astrophysics · Physics 2016-11-15 Orfeu Bertolami , Carla Carvalho

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for a supersymmetric system of a free spinning relativistic particle within the framework of superfield…

High Energy Physics - Theory · Physics 2012-12-19 A. Shukla , S. Krishna , R. P. Malik
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