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Einstein action of gravity is obtained from a gauge theory, if our spacetime was once in two folds with a double Lorentz symmetry. After the dual symmetry breaks spontaneously, Lorentz symmetry absorbs gauge symmetry, while the gauge field…

综合物理 · 物理学 2022-12-27 Kimihide Nishimura

The theory described by the sum of the Einstein-Hilbert action and the action of conformal scalar field possesses the duality symmetry which includes some special conformal transformation of the metric, and also inversion of scalar field…

高能物理 - 理论 · 物理学 2009-10-30 I. L. Shapiro

We recast the action of pure gravity into a form that is invariant under a twofold Lorentz symmetry. To derive this representation, we construct a general parameterization of all theories equivalent to the Einstein-Hilbert action up to a…

高能物理 - 理论 · 物理学 2017-01-31 Clifford Cheung , Grant N. Remmen

We show that the action of Einstein's gravity with a scalar field coupled in a generic way to spacetime curvature is invariant under a particular set of conformal transformations. These transformations relate dual theories for which the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 L. R. Abramo , L. Brenig , E. Gunzig , A. Saa

Dual field theory realisations are given for linearised gravity in terms of gauge fields in exotic representations of the Lorentz group. The field equations and dual representations are discussed for a wide class of higher spin gauge…

高能物理 - 理论 · 物理学 2010-02-03 C. M. Hull

We present a formulation of gravity in terms of a theory based on complex SU(2) gauge fields with a general coordinate invariant action functional quadratic in the field strength. Self-duality or anti-self-duality of the field strength…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Romesh K. Kaul

Noncommutative geometric construction of gravity in the two sheeted spacetime can be viewed as a discretized version of a Kaluza-Klein theory. In this paper, we show that it is possible to incorporate the nonabelian gauge fields in the same…

广义相对论与量子宇宙学 · 物理学 2020-09-25 Viet Ai Nguyen , Du Tien Pham

We perform a general computation of the off-shell one-loop divergences in Einstein gravity, in a two-parameter family of path integral measures, corresponding to different ways of parametrizing the graviton field, and a two-parameter family…

高能物理 - 理论 · 物理学 2016-07-20 N. Ohta , R. Percacci , A. D. Pereira

We construct a model for noncommutative gravity in four dimensions, which reduces to the Einstein-Hilbert action in the commutative limit. Our proposal is based on a gauge formulation of gravity with constraints. While the action is metric…

高能物理 - 理论 · 物理学 2017-08-23 Matteo A. Cardella , Daniela Zanon

We derive new representations of the Einstein-Hilbert action in which graviton perturbation theory is immensely simplified. To accomplish this, we recast the Einstein-Hilbert action as a theory of purely cubic interactions among gravitons…

高能物理 - 理论 · 物理学 2017-09-06 Clifford Cheung , Grant N. Remmen

We develop the gauge approach based on the Lorentz group to the gravity with torsion. With a Lagrangian quadratic in curvature we show that the Einstein-Hilbert action can be induced from a simple gauge model due to quantum corrections of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. W. Kim , D. G. Pak

Starting from the original Einstein action, sometimes called the Gamma squared action, we propose a new setup to formulate modified theories of gravity. This can yield a theory with second order field equations similar to those found in…

广义相对论与量子宇宙学 · 物理学 2021-07-14 Christian G. Boehmer , Erik Jensko

The curvature-squared model of gravity, in the affine form proposed by Weyl and Yang, is deduced from a topological action in 4D. More specifically, we start from the Pontrjagin (or Euler) invariant. Using the BRST antifield formalism with…

高能物理 - 理论 · 物理学 2014-11-18 Eckehard W. Mielke

Quantization of two dimensional chiral matter coupled to gravity induces an effective action for the zweibein field which is both Weyl and Lorentz anomalous. Recently, the quantization of this induced action has been analyzed in the…

高能物理 - 理论 · 物理学 2009-10-22 Fiorenzo Bastianelli

This work deals with the theory of a quantized spin-2 field in the framework of causal perturbation theory. It is divided into two parts. In the first part we analyze the gauge structure of a massless self-interacting quantum tensor field.…

高能物理 - 理论 · 物理学 2007-05-23 M. Wellmann

We investigate a possible unified theory of all interactions which is based only on fundamental spinor fields. The vielbein and metric arise as composite objects. The effective quantum gravitational theory can lead to a modification of…

高能物理 - 理论 · 物理学 2009-11-10 C. Wetterich

The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is…

高能物理 - 理论 · 物理学 2015-06-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner

Using as inspiration the well known chiral effective lagrangian describing the interactions of pions at low energies, in these lectures we review the quantization procedure of Einstein gravity in the spirit of effective field theories. As…

高能物理 - 理论 · 物理学 2014-11-20 D. Espriu , D. Puigdomenech

We show that it is possible to formulate gravity with a complex vierbein based on SL(2,C) gauge invariance. The proposed action is a four-form where the metric is not introduced but results as a function of the complex vierbein. This…

高能物理 - 理论 · 物理学 2009-11-10 Ali H. Chamseddine

Gravity is derived from an entropic action coupling matter fields with geometry. The fundamental idea is to relate the metric of Lorentzian spacetime to a quantum operator, playing the role of an renormalizable effective density matrix and…

广义相对论与量子宇宙学 · 物理学 2025-03-20 Ginestra Bianconi
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