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On the basis of dynamic quantization method we build in this paper a new mathematically correct quantization scheme of gravity. In the frame of this scheme we develop a canonical formalism in tetrad-connection variables in 4-D theory of…

广义相对论与量子宇宙学 · 物理学 2016-08-31 S. N. Vergeles

Affine gravity and the Palatini formalism contribute both to produce a simple and unique formula for calculating charges at spatial and null infinity for Lovelock type Lagrangians whose variational derivatives do not depend on second-order…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Joseph Katz , Gideon I. Livshits

A generalized quantization principle is considered, which incorporates nontrivial commutation relations of the components of the variables of the quantized theory with the components of the corresponding canonical conjugated momenta…

综合物理 · 物理学 2016-09-02 Martin Kober

The amplitude A(s,t) for ultra-high energy scattering can be found in the leading eikonal approximation by considering propagation in an Aichelburg-Sexl gravitational shockwave background. Loop corrections in the QFT describing the…

高能物理 - 理论 · 物理学 2016-05-25 Timothy J. Hollowood , Graham M. Shore

We quantize the interaction of gravity with a Yang-Mills and Higgs field using canonical quantization. Similar to the approach in a previous paper we discard the Wheeler-DeWitt equation and express the Hamilton constraint by the evolution…

广义相对论与量子宇宙学 · 物理学 2016-03-07 Claus Gerhardt

One way the ultraviolet problem may be solved is explicit physical regularization. In this scenario, QFT is only the long distance limit of some unknown non-Poincare-invariant microscopic theory. One can ask how complex and contrived such…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Ilja Schmelzer

Extension procedure for supermanifold ${\cal M}_{cl}$ of superfields ${\cal A}^{\imath}(\theta)$, ghost number construction are considered. Classical and $\hbar$-deformed generating (master) equations, existence theorems for their solutions…

高能物理 - 理论 · 物理学 2007-05-23 A. A. Reshetnyak

With the increasing wealth of high-quality astronomical and cosmological data and the manifold departures from General Relativity in principle conceivable, the development of generalized parametrization frameworks that unify gravitational…

宇宙学与河外天体物理 · 物理学 2019-08-22 Lucas Lombriser

Causal Dynamical Triangulations (CDT) is a non-perturbative quantisation of general relativity. Ho\v{r}ava-Lifshitz gravity on the other hand modifies general relativity to allow for perturbative quan- tisation. Past work has given rise to…

高能物理 - 理论 · 物理学 2016-09-14 Lisa Glaser , Thomas P. Sotiriou , Silke Weinfurtner

Einstein gravity at $D\rightarrow 2$ limit can be obtained from the Kaluza-Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar-tensor theory can be further…

高能物理 - 理论 · 物理学 2023-03-29 Qi-Yuan Mao , H. Lu

We show the exact equality of the path integral of the general renormalizable fourth order gravitational action to the path integral of the Einstein action coupled to a massive spin-0 field and a massive spin-2 ghost-like field with…

高能物理 - 理论 · 物理学 2009-10-30 E. T. Tomboulis

The asymptotic behavior of the elastic scattering amplitude by the exchange of graviton between two scalar particles at high energies and fixed momentum transfers is reconsidered in the Logunov-Tavkhelidze equation in the linearized…

高能物理 - 理论 · 物理学 2020-02-18 Do Thu Ha

We study the Carrollian limit of the (general) quadratic gravity in four dimensions. We find that in order for the Carrollian theory to be a modification of the Carrollian limit of general relativity, the parameters in the action must…

广义相对论与量子宇宙学 · 物理学 2026-01-28 Poula Tadros , Ivan Kolář

We consider the two-dimensional model of W3-gravity within Lagrangian quantization methods for general gauge theories. We use the Batalin-Vilkovisky formalism to study the arbitrariness in the realization of the gauge algebra. We obtain a…

高能物理 - 理论 · 物理学 2009-11-10 B. Geyer , D. M. Gitman , P. M. Lavrov , P. Yu. Moshin

The polarized Gowdy model in terms of Ashtekar-Barbero variables is further reduced by including the Killing equations for plane-fronted parallel gravitational waves with parallel rays. The resulting constraint algebra, including one…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Franz Hinterleitner , Seth Major

We employ the curvature expansion of the quantum effective action for gravity-matter systems to construct graviton-mediated scattering amplitudes for non-minimally coupled scalar fields in a Minkowski background. By design, the formalism…

高能物理 - 理论 · 物理学 2020-12-30 Tom Draper , Benjamin Knorr , Chris Ripken , Frank Saueressig

Based on the classical limit of relativistic scattering amplitudes, we compute the coupling between a general super-renormalizable gravity and massive scalar particles. This allows us to derive the $D$-dimensional metric corrections at both…

高能物理 - 理论 · 物理学 2026-02-11 Haiyuan Feng , Rong-Jia Yang , Jinjun Zhang

This is the first part of an investigation concerning the formulation of 2D gravity in the framework of the uniformization theory of Riemann surfaces. As a first step in this direction we show that the classical Liouville action appears in…

高能物理 - 理论 · 物理学 2009-10-22 M. Matone

Aspects of super-planckian gravitational scattering and black hole formation are investigated, largely via a partial-wave representation. At large and decreasing impact parameters, amplitudes are expected to be governed by single graviton…

高能物理 - 理论 · 物理学 2008-11-26 Steven B. Giddings , Mark Srednicki

Starting from an action for discretized gravity we derive a canonical formalism that exactly reproduces the dynamics and (broken) symmetries of the covariant formalism. For linearized Regge calculus on a flat background -- which exhibits…

广义相对论与量子宇宙学 · 物理学 2011-08-11 Bianca Dittrich , Philipp A Hoehn