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In this paper we consider the collective field theory description of the singlet sector of a free matrix field in 2+1 dimensions. This necessarily involves the study of $k$-local collective fields, which are functions of $2k+1$ coordinates.…

高能物理 - 理论 · 物理学 2024-05-08 Robert de Mello Koch , Pratik Roy , Hendrik J. R. Van Zyl

We find the conditions under which scale-invariant Einstein-Cartan gravity with scalar matter fields leads to an approximate conformal invariance of the flat space particle theory up to energies of the order of the Planck mass. In the…

高能物理 - 理论 · 物理学 2023-07-24 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

We present a new model of gravity which explicitly breaks Lorentz-invariance by the introduction of a unit time-like vector field, thereby giving rise to an extra (scalar) degree of freedom. We discuss its cosmology, exact solutions and the…

广义相对论与量子宇宙学 · 物理学 2013-01-18 Flavio S. Coelho , Carlos Herdeiro , Shinji Hirano , Yuki Sato

While Quantum Gravity remains elusive and Quantum Field Theory retains the interpretational difficulties of Quantum Mechanics, we have introduced an alternate approach to the unification of particles, fields, space and time, suggesting that…

综合物理 · 物理学 2012-11-21 Yousef Ghazi-Tabatabai

We formally prove the existence of a quantization procedure that makes the path integral of a general diffeomorphism-invariant theory of gravity, with fixed total spacetime volume, equivalent to that of its unimodular version. This is…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Gustavo P. de Brito , Oleg Melichev , Roberto Percacci , Antonio D. Pereira

Observed physical phenomena can be described well by quantum mechanics or general relativity. People may try to find an unified fundamental theory which mainly aims to merge gravity with quantum theory. However, difficulty in merging those…

综合物理 · 物理学 2009-11-10 Chang-Yu Zhu , Heng Fan

In the report, the theory of unimodular bimode gravity built on principles of unimodular gauge invariance/relativity and general covariance is exposed. Besides the massless tensor graviton of General Relativity, the theory includes an…

广义相对论与量子宇宙学 · 物理学 2020-01-01 Yu. F. Pirogov

A large class of solvable models of dilaton gravity in two space-time dimensions, capable of describing black hole geometry, are analyzed in a unified way as non-linear sigma models possessing a special symmetry. This symmetry, which can be…

高能物理 - 理论 · 物理学 2011-07-19 Y. Kazama , Y. Satoh , A. Tsuchiya

Flat space-time has not heretofore been thought a suitable locus in which to construct model universes because of the presumed necessity of incorporating gravitation in such models and because of the historical lack of a theory of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Wasley S. Krogdahl

General 2d dilaton theories, containing spherically symmetric gravity and hence the Schwarzschild black hole as a special case, are quantized by an exact path integral of their geometric (Cartan-) variables. Matter, represented by minimally…

高能物理 - 理论 · 物理学 2009-10-31 W. Kummer , H. Liebl , D. V. Vassilevich

Some cosmological solutions of the unimodular theory of gravity are studied. These solutions can always be mapped to solutions of Einstein's general relativity in an appropiate frame. Constant scalar potentials however do not gravitate.…

高能物理 - 理论 · 物理学 2013-10-14 Enrique Alvarez , Mario Herrero-Valea

For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS/CFT correspondence, if the…

高能物理 - 理论 · 物理学 2015-06-04 Bartlomiej Czech , Joanna L. Karczmarek , Fernando Nogueira , Mark Van Raamsdonk

We present time-dependent analytic solutions to the Einstein equations coupled with a dilaton (scalar) field. The background geometry for the solutions is a product of an N-dimensional spherically symmetric space and a d-dimensional flat…

广义相对论与量子宇宙学 · 物理学 2019-04-09 Takuya Maki , Kiyoshi Shiraishi

The symmetries of generic 2D dilaton models of gravity with (and without) matter are studied in some detail. It is shown that $\delta_2$, one of the symmetries of the matterless models, can be generalized to the case where matter fields of…

广义相对论与量子宇宙学 · 物理学 2011-09-09 Miguel Navarro

Using the differential calculus on discrete group, we study the general relativity in the space-time which is the product of a four dimensional manifold by a two-point space. We generalize the usual concept of frame and connection in our…

高能物理 - 理论 · 物理学 2017-02-01 Bin Chen , Takesi Saito , Ke Wu

In this work we analyze the viability of use a particular models of scalar fields in the context of the galactic dark matter problem. These models are based on a single scalar field, minimally coupled to the gravity in a asymptotically flat…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Jose A. Gonzalez , Daniel Sudarsky

We investigate the scenarios in which a holonomic versus a non-holonomic frame description of gravity theories are equivalent. It turns out that classically, the equivalence holds in a way that is independent of the particular dynamics…

广义相对论与量子宇宙学 · 物理学 2025-05-21 Guilherme Sadovski

We describe a class of integrable models of 1+1 and 1-dimensional dilaton gravity coupled to scalar fields. The models can be derived from high dimensional supergravity theories by dimensional reductions. The equations of motion of these…

高能物理 - 理论 · 物理学 2007-05-23 V. de Alfaro , A. T. Filippov

In this paper we study brane-world scenarios with a bulk scalar field, using a covariant formalism to obtain a 4D Einstein equation via projection onto the brane. We discuss, in detail, the effects of the bulk on the brane and how the…

高能物理 - 理论 · 物理学 2008-11-26 A. Mennim , R. A. Battye

We further develop the framework for coupling galileons and Dirac-Born-Infeld (DBI) scalar fields to a massive graviton while retaining both the non-linear symmetries of the scalars and ghost-freedom of the theory. The general construction…

高能物理 - 理论 · 物理学 2014-08-06 Garrett Goon , A. Emir Gumrukcuoglu , Kurt Hinterbichler , Shinji Mukohyama , Mark Trodden