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We study $c<1$ matter coupled to gravity in the Coulomb gas formalism using the double cohomology of the string BRST and Felder BRST charges. We find that states outside the primary conformal grid are related to the states of non-zero ghost…

High Energy Physics - Theory · Physics 2010-11-01 S. Govindarajan , T. Jayaraman , V. John , P. Majumdar

For the stationary Gross-Pitaevskii equation with harmonic real and linear imaginary potentials in the space of one dimension, we study the ground state in the limit of large densities (large chemical potentials), where the solution…

Analysis of PDEs · Mathematics 2014-05-29 Clement Gallo , Dmitry Pelinovsky

A simple and self-contained treatment of the superstring BRST no-ghost theorem at non-zero momentum and arbitrary picture number is presented. We prove by applying the spectral sequence that the absolute BRST cohomology is isomorphic to two…

High Energy Physics - Theory · Physics 2015-11-13 Mykola Dedushenko

To capture the universal low-energy physics of metals within effective field theories, one has to generalize the usual notion of scale invariance and renormalizable field theory due to the presence of intrinsic scales (Fermi momenta). In…

Strongly Correlated Electrons · Physics 2023-02-16 Francisco Borges , Anton Borissov , Ashutosh Singh , Andres Schlief , Sung-Sik Lee

We continue McCartor and Robertson's recent demonstration of the indispensability of ghost fields in the light-cone gauge quantization of gauge fields. It is shown that the ghost fields are indispensable in deriving well-defined…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Nakawaki , Gary McCartor

Negative kinetic energies correspond to ghost degrees of freedom, which are potentially of relevance for cosmology, quantum gravity, and high energy physics. We present a novel wide class of stable mechanical systems where a positive energy…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Cédric Deffayet , Aaron Held , Shinji Mukohyama , Alexander Vikman

One of the aims of Aether Scalar Tensor Theory (AeST) is to reproduce the successes of Modified Newtonian Dynamics (MOND) on galactic scales. Indeed, the quasi-static limit of AeST achieves precisely this, assuming that the vector field…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Tobias Mistele

We show a new class of interaction terms with higher derivatives that can be added to every low derivative real scalar, such that the theory is degenerate, and the equation of motion remains of second order. In contrast to previous setups,…

High Energy Physics - Theory · Physics 2021-03-22 Justo Lopez-Sarrion , Mauricio Valencia-Villegas

In this article we have solved an hypothetical problem related to the stability and gross properties of two dimensional self-gravitating stellar objects using Thomas-Fermi model. The formalism presented here is an extension of the standard…

Solar and Stellar Astrophysics · Physics 2015-02-20 Sanchari De , Somenath Chakrabarty

The influence of a weak random potential on the collective modes of a trapped interacting Bose-Einstein condensate at zero temperature is calculated in the limit when the correlation length of the disorder is smaller than the healing length…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

The rigorous conditions to obtain sensible predictions in non (proper) renormalizable Quantum Field Theories were derived a long time ago, most notably in the works of Steven Weinberg. In this paper we explicitly illustrate the challenges…

High Energy Physics - Theory · Physics 2024-10-22 Carlo Marzo

Viewed through the lens of the Batalin-Vilkovisky formalism, we demonstrate that higher-form currents with nonzero ghost number also define higher-form symmetries, directly analogous to the standard higher-form symmetries with ghost number…

High Energy Physics - Theory · Physics 2026-05-26 Leron Borsten , Dimitri Kanakaris , Hyungrok Kim

We present an analytical approximation for nonlinear dynamics of trapped Bose-co ndensed gases. The new approximation is a substantial improvement over the Thomas-Fermi approximation and is shown to be applicable for systems with a rather…

Statistical Mechanics · Physics 2007-05-23 Alexander L. Zubarev , Yeong E. Kim

We consider the ghost-condensate model of dark energy with a generic potential term. The inclusion of the potential is shown to give greater freedom in realising the phantom regime. The self-consistency of the analysis is demonstrated using…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Gour Bhattacharya , Pradip Mukherjee , Anirban Saha , Amit Singha Roy

We analyze the pattern of normal modes in linearized Lorentz-violating massive gravity over the 5-dimensional moduli space of mass terms. Ghost-free theories arise at bifurcation points when the ghosts get out of the spectrum of propagating…

High Energy Physics - Theory · Physics 2010-03-18 Andrei Mironov , Sergey Mironov , Alexei Morozov , Andrey Morozov

In the recently proposed non-local theory of quantum gravity one can avoid massive tensor ghosts at the tree level by a special choice of the non-local form factor between the two Ricci tensors. We show that at the quantum level this theory…

High Energy Physics - Theory · Physics 2015-06-23 Ilya L. Shapiro

Invertible disformal transformations are a useful tool to investigate ghost-free scalar-tensor theories. By performing a higher-derivative generalization of the invertible disformal transformation on Horndeski theories, we construct a novel…

General Relativity and Quantum Cosmology · Physics 2023-01-16 Kazufumi Takahashi , Masato Minamitsuji , Hayato Motohashi

The paper contains some preliminary results about the problem of Bose condensation at zero temperature. It is shown that the usual picture of three dimensional Bose condensation, the so called Bogoliubov approximation, can be explained in…

Condensed Matter · Physics 2009-10-22 G. Benfatto

We study a class of solutions within the context of modified gravity theories, characterized by a non-trivial field that does not generate any back-reaction on the metric. These stealth configurations are effectively defined by the stealth…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Cristián Erices , Luis Guajardo , Kristiansen Lara

Within finite temperature field theory, we show that truncated non-perturbative self-consistent Dyson resummation schemes can be renormalized with local counter-terms defined at the vacuum level. The requirements are that the underlying…

High Energy Physics - Phenomenology · Physics 2009-11-07 H. Hees , J. Knoll
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