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For a wide class of mechanical systems, invariant under gauge transformations with higher (arbitrary) order time derivatives of gauge parameters, the equivalence of Lagrangian and Hamiltonian BRST formalisms is proved. It is shown that the…

High Energy Physics - Theory · Physics 2015-06-26 Khazret S. Nirov

After a brief chronological sketch of developments in non-perturbative canonical quantum gravity, some of the recent mathematical results are reviewed. These include: i) an explicit construction of the quantum counterpart of Wheeler's…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Abhay Ashtekar

The quest for a consistent theory which describes the quantum microstructure of spacetime seems to require some departure from the paradigms that have been followed in the construction of quantum theories for the other fundamental…

General Relativity and Quantum Cosmology · Physics 2019-04-16 Antonio D. Pereira

The turn of the millennium was a time of optimism about an approach to noncommutative geometry inspired by rich mathematical objects called `quantum groups' and its applications to quantum spacetime. This would model quantum gravity effects…

General Relativity and Quantum Cosmology · Physics 2024-02-29 Shahn Majid

We study the geometric and physical foundations of Finsler gravity theories with metric compatible connections defined on tangent bundles, or (pseudo) Riemannian manifolds). There are analyzed alternatives to Einstein gravity (including…

Mathematical Physics · Physics 2013-03-15 Sergiu I. Vacaru

Theories of Quantum Gravity predict a minimum measurable length and a corresponding modification of the Heisenberg Uncertainty Principle to the so-called Generalized Uncertainty Principle (GUP). However, this modification is usually…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Vasil Todorinov , Saurya Das , Pasquale Bosso

In this work, we reconstruct the $f(R)$ modified gravity for different ghost and generalized ghost dark energy models in FRW flat universe, which describe the accelerated expansion of the universe. The equation of state of reconstructed…

High Energy Physics - Theory · Physics 2012-06-06 A. Khodam-Mohammadi , M. Malekjani , M. Monshizadeh

The Generalized Uncertainty Principle (GUP) has emerged in numerous attempts to a theory of quantum gravity and predicts the existence of a minimum length in Nature. In this work, we consider two cosmological models arising from Friedmann…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Serena Giardino , Vincenzo Salzano

This article shows in detail the computations made for the poster presented at the Symposium "Frontiers of Fundamental Physics" in July 2014. As was shown in a previous publication, a quantum gravity formulation exists on the basis of…

General Relativity and Quantum Cosmology · Physics 2015-01-05 Pierre-André Mandrin

The attempt of extending to higher dimensions the matrix model formulation of two-dimensional quantum gravity leads to the consideration of higher rank tensor models. We discuss how these models relate to four dimensional quantum gravity…

High Energy Physics - Lattice · Physics 2009-10-31 R. De Pietri

We study the perturbative quantization of gauge theories and gravity. Our investigations start with the geometry of spacetimes and particle fields. Then we discuss the various Lagrange densities of (effective) Quantum General Relativity…

High Energy Physics - Theory · Physics 2022-11-23 David Prinz

A nonlocal quantum gravity theory is presented which is finite and unitary to all orders of perturbation theory. Vertex form factors in Feynman diagrams involving gravitons suppress graviton and matter vacuum fluctuation loops by…

High Energy Physics - Theory · Physics 2011-08-17 J. W. Moffat

Here, we peruse cosmological usage of the most promising candidates of dark energy in the framework of f(R) theory. We reconstruct the different f(R) modified gravity models in the spatially flat FRW universe according to the ordinary and…

General Relativity and Quantum Cosmology · Physics 2011-07-18 K. Karami , M. S. Khaledian

The asymptotic behavior of new massive gravity (NMG) is analyzed for all values of the mass parameter satisfying the Breitenlohner-Freedman bound. The traditional Fefferman-Graham expansion fails to capture the dynamics of NMG, and new…

High Energy Physics - Theory · Physics 2013-05-08 Colin Cunliff

We report on some recent developments in algebraic tensor reduction of one-loop Feynman integrals. For 5-point functions, an efficient tensor reduction was worked out recently and is now available as numerical C++ package, PJFry, covering…

High Energy Physics - Phenomenology · Physics 2012-02-06 Jochem Fleischer , Tord Riemann , Valery Yundin

A unified framework for theories of modified gravity will be an essential tool for interpreting the forthcoming deluge of cosmological data. We present such a formalism, the Parameterized Post-Friedmann framework (PPF), which parameterizes…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-08 Tessa Baker , Pedro G. Ferreira , Constantinos Skordis

Recently a nice work about the understanding of one-loop integrals has been done in [1] using the tricks of the projective space language associated to their Feynman parametrization. We find this language is also very suitable to deal with…

High Energy Physics - Phenomenology · Physics 2022-10-12 Bo Feng , Jianyu Gong , Tingfei Li

The LanHEP program for Feynman rules generation in momentum representation is presented. It reads the Lagrangian written in a compact form, close to the one used in publications. It means that Lagrangian terms can be written with summation…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Semenov

The Nine-Year WMAP results combined with other cosmological data seem to indicate an enhanced favor for the phantom regime, comparing to previous analyses. This behavior, unless reversed by future observational data, suggests to consider…

High Energy Physics - Theory · Physics 2013-08-06 Shin'ichi Nojiri , Emmanuel N. Saridakis
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