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We study a tachyon model with non-minimal derivative coupling to gravity in the Friedmann-Robertson-Walker flat cosmology. We propose the special re-definition of the tachyon field which allows us to represent tachyon field equation…

General Relativity and Quantum Cosmology · Physics 2012-09-13 V. K. Shchigolev , M. P. Rotova

According to the standard classification of Conformal Quantum Field Theory (CQFT) in two dimensions, the massless continuum limit of the $O(2)$ model at the Kosterlitz-Thouless (KT) transition point should be given by the massless free…

High Energy Physics - Lattice · Physics 2009-10-30 Adrian Patrascioiu , Erhard Seiler

We revisit the no-scale mechanism in the context of the simplest no-scale supergravity extension of the Standard Model. This model has the usual five-dimensional parameter space plus an additional parameter $\xi_{3/2}\equiv…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Kelley , J. Lopez , D. Nanopoulos , A. Zichichi

We consider the non-minimal coupling between matter and the geometry in the f(R) theory. In the new theory which we established, a new scalar $\psi$ has been defined and we give it a certain stability condition. We intend to take a closer…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Qiang Xu , Sheng-yu Tan

By means of a triple master action we deduce here a linearized version of the "New Massive Gravity" (NMG) in arbitrary dimensions. The theory contains a 4th-order and a 2nd-order term in derivatives. The 4th-order term is invariant under a…

High Energy Physics - Theory · Physics 2013-04-17 D. Dalmazi , R. C. Santos

Bigravity is a natural arena where a non-linear theory of massive gravity can be formulated. If the interaction between the metrics $f$ and $g$ is non-derivative, spherically symmetric exact solutions can be found. At large distances from…

High Energy Physics - Theory · Physics 2008-11-26 D. Blas , C. Deffayet , J. Garriga

General Relativity is expected to break down in the high-curvature regime. Beyond an effective field theory treatment with higher-order operators, it is important to identify consistent theories with higher-curvature terms at the…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Fabrizio Corelli , Paolo Pani , Andrea P. Sanna

We consider a problem whether bound states are made in a scalar theory with a fourth-order derivative term or not. After rewriting the theory to a standard scalar theory with second-order derivative terms, we calculate a correlation…

High Energy Physics - Theory · Physics 2026-03-23 Ichiro Oda

We establish long-range order for discrete nearest-neighbor spin systems on $\mathbb{Z}^d$ satisfying a certain symmetry assumption, when the dimension $d$ is higher than an explicitly described threshold. The results characterize all…

Mathematical Physics · Physics 2026-04-24 Ron Peled , Yinon Spinka

Lorentz-invariant massive gravity is usually associated with a strong coupling scale $\Lambda_3$. By including non-trivial effects from the Stueckelberg modes, we show that about these vacua, one can push the strong coupling scale to higher…

High Energy Physics - Theory · Physics 2016-05-11 Claudia de Rham , Andrew J. Tolley , Shuang-Yong Zhou

We complete the Hamiltonian analysis of specific model of non-linear massive gravity that was started in arXiv:1112.5267. We identify the primary constraint and corresponding secondary constraint. We show that they are the second class…

High Energy Physics - Theory · Physics 2015-06-04 J. Kluson

We explore the possibility of parity-violating, nonminimally coupled 2-form field theories that retain the same dynamical degrees of freedom as a massive 2-form and thus are ghost-free. Starting from the most general kinetic terms and…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Yuki Horii , Tomoaki Murata , Tsutomu Kobayashi

This paper describes recent progress in the analysis of relativistic gauge conditions for Euclidean Maxwell theory in the presence of boundaries. The corresponding quantum amplitudes are studied by using Faddeev-Popov formalism and…

General Relativity and Quantum Cosmology · Physics 2011-04-20 Giampiero Esposito

Ghost-free bimetric theories describe nonlinear interactions of massive and massless spin-2 fields and, hence, provide a natural framework for investigating the phenomenon of partial masslessness for massive spin-2 fields at the nonlinear…

High Energy Physics - Theory · Physics 2015-06-12 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

We study the stability of a spherically symmetric perturbation around the flat Friedmann-Lema$\hat{\i}$tre-Robertson-Walker spacetime in the ghost-free bigravity theory, retaining nonlinearities of the helicity-$0$ mode of the massive…

High Energy Physics - Theory · Physics 2015-09-02 Katsuki Aoki , Kei-ichi Maeda , Ryo Namba

We investigate the discretized version of the compact Randall-Sundrum model. By studying the mass eigenstates of the lattice theory, we demonstrate that for warped space, unlike for flat space, the strong coupling scale does not depend on…

High Energy Physics - Theory · Physics 2009-11-11 Lisa Randall , Matthew D. Schwartz , Shiyamala Thambyahpillai

In the context of a ghost free $f(R,\mathcal{G})$ model, an extended matter bounce scenario is studied where the form of the scale factor is given by $a(t) = (a_0t^2 + 1)^n$. The ghost free character of the model is ensured by the presence…

General Relativity and Quantum Cosmology · Physics 2020-04-22 E. Elizalde , S. D. Odintsov , V. K. Oikonomou , Tanmoy Paul

This paper studies nonlinear deformations of the linear gauge theory of any number of spin-2 and spin-3/2 fields with general formal multiplication rules in place of standard Grassmann rules for manipulating the fields, in four spacetime…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephen C. Anco

We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

We study spherically symmetric solutions in a covariant massive gravity model, which is a candidate for a ghost-free non-linear completion of the Fierz-Pauli theory. There is a branch of solutions that exhibits the Vainshtein mechanism,…

High Energy Physics - Theory · Physics 2011-11-04 Kazuya Koyama , Gustavo Niz , Gianmassimo Tasinato
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