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We investigate the statistical properties of translation invariant random fields (including point processes) on Euclidean spaces (or lattices) under constraints on their spectrum or structure function. An important class of models that…

Probability · Mathematics 2022-02-07 Kartick Adhikari , Subhroshekhar Ghosh , Joel L. Lebowitz

To explain the acceleration of the cosmological expansion researchers have considered an unusual form of mass-energy generically called dark energy. Dark energy has a ratio of pressure over mass density which obeys $w=p/\rho <-1/3$. This…

High Energy Physics - Theory · Physics 2008-12-19 Max Chaves , Douglas Singleton

In this work we review the issue of imposing the conservation of the energy-momentum tensor as a necessary condition to recover the equivalence between the unimodular gravity and General Relativity (GR) equipped with a cosmological…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Júlio C. Fabris , Marcelo H. Alvarenga , Mahamadou Hamani-Daouda , Hermano Velten

We study transformations of the dynamical fields - a metric, a flat affine connection and a scalar field - in scalar-teleparallel gravity theories. The theories we study belong either to the general teleparallel setting, where no further…

General Relativity and Quantum Cosmology · Physics 2024-03-13 Manuel Hohmann

We consider theories for scalar and vector fields coupled to the energy-momentum tensor. Since these fields also carry a non-trivial energy-momentum tensor, the coupling prescription generates self-interactions. In analogy with gravity…

High Energy Physics - Theory · Physics 2018-05-15 Jose Beltran Jimenez , Jose A. R. Cembranos , Jose M. Sanchez Velazquez

It has been shown numerically that systems of particles interacting with "stealthy" bounded, long-ranged pair potentials (similar to Friedel oscillations) have classical ground states that are, counterintuitively, disordered, hyperuniform…

Statistical Mechanics · Physics 2015-06-03 S. Torquato , G. Zhang , F. H. Stillinger

We explore the question of how to probe the vacuum structure of space time by a massive scalar field through interaction with background gravitons. Using the $\Gamma$-regularization for the in-/out-state formalism, we find the effective…

High Energy Physics - Theory · Physics 2015-05-27 Sang Pyo Kim

We introduce a new model of aggregation of particles where in addition to diffusion and aggregation upon contact, a single unit of mass can dissociate from a conglomerate. This dissociation move conserves the total mass and leads to a…

Statistical Mechanics · Physics 2008-02-03 Supriya Krishnamurthy , Satya N. Majumdar , Mustansir Barma

On the basis of a general action principle, we revisit the scale invariant field equation using the co-tensor relations by Dirac (1973). This action principle also leads to an expression for the scale factor $\lambda$, which corresponds to…

Mathematical Physics · Physics 2023-10-31 Andre Maeder , Vesselin G. Gueorguiev

We study dynamics of scalar fields on a large class of geometries described by integrable sigma models. Although equations of motion are not separable due to absence of isometries and Killing tensors, we completely determine the spectra…

High Energy Physics - Theory · Physics 2018-12-26 Oleg Lunin , Wukongjiaozi Tian

Conformal and disformal transformations are now being very intensively studied in the context of various modified gravity theories. In particular, some special classes of them can be used for constructing Mimetic Dark Matter models.…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Alexey Golovnev

In the scalar $\phi^4$ field model the dispersive approach to the trace anomaly is proposed. It is shown that it is impossible to get dispersion representation for all formfactors so that preserve both the translation and dilatation Ward…

High Energy Physics - Phenomenology · Physics 2008-02-03 N. Kawka , O. V. Teryaev , O. L. Veretin

We present a new cosmological model that mimics the Lambda Cold Dark Matter by using a stealth field. This kind of field is characterized as not coupling directly to gravity; however, it is connected to the underlying matter content of the…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Cuauhtemoc Campuzano , Victor H Cardenas , Ramon Herrera

We consider tensor-multiscalar representations for several types of modified gravity actions. The first example is the theory with the action representing an arbitrary smooth function of the scalar curvature R and (Box R), the integrand of…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Davi C. Rodrigues , Filipe de O. Salles , Ilya L. Shapiro , Alexei A. Starobinsky

We investigate static and spherically symmetric stars disformally coupled to a scalar field. The scalar field is assumed to be shift symmetric, and hence the conformal and disformal factors of the metric coupled to matter are dependent only…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Tact Ikeda , Aya Iyonaga , Tsutomu Kobayashi

A modified-gravity theory with a four-form field strength $F$, a variable gravitational coupling parameter $G(F)$, and a standard matter action is considered here. Maxwell and Einstein equations are now derived when including to action also…

General Relativity and Quantum Cosmology · Physics 2017-07-27 Matti Savelainen

Here we consider resonances of the Gauge, Gravity and Spinor fields in Randall-Sundrum-like scenarios. We consider membranes that are generated by a class of topological defects that are deformed domain walls obtained from other previously…

High Energy Physics - Theory · Physics 2015-05-30 R. R. Landim , G. Alencar , M. O. Tahim , R. N. Costa Filho

We consider scale invariant theories of continuous mass fields, and show how interactions of these fields with the standard model can reproduce unparticle interactions. There is no fixed point or dimensional transmutation involved in this…

High Energy Physics - Phenomenology · Physics 2009-01-09 N. G. Deshpande , Xiao-Gang He

A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter theta. The algebraic relations remain the same, whereas the comultiplication rule (Leibniz rule) is different…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Aschieri , Christian Blohmann , Marija Dimitrijevic , Frank Meyer , Peter Schupp , Julius Wess

We develop the effective field theory approach to torsional modified gravities, a formalism that allows for the systematic investigation of the background and perturbation levels separately. Starting from the usual effective field theory…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Chunlong Li , Yong Cai , Yi-Fu Cai , Emmanuel N. Saridakis
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