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General relativity describes the gravitational field geometrically and in a self-interacting way because it couples to all forms of energy, including its own. Both features make finding a quantum theory difficult, yet it is important in the…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Martin Bojowald

I briefly review the current status of quantum gravity. After giving some general motivations for the need of such a theory, I discuss the main approaches in quantizing general relativity: Covariant approaches (perturbation theory,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Claus Kiefer

We introduce a technique for restoring general coordinate invariance into theories where it is explicitly broken. This is the analog for gravity of the Callan-Coleman-Wess-Zumino formalism for gauge theories. We use this to elucidate the…

High Energy Physics - Theory · Physics 2015-06-26 Nima Arkani-Hamed , Howard Georgi , Matthew D. Schwartz

After a brief introduction to classical and quantum gravity we discuss applications of loop quantum gravity in the cosmological realm. This includes the basic formalism and recent results of loop quantum cosmology, and a computation of…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Martin Bojowald , Hugo A. Morales-Tecotl

Promoting a theory with a finite number of terms into an effective field theory with an infinite number of terms worsens simplicity, predictability, falsifiability, and other attributes often favored in theory choice. However, the…

History and Philosophy of Physics · Physics 2013-06-26 James D. Wells

Quantum theory and general relativity are about one century old. At present, they are considered the best available explanations of physical reality, and they have been so far corroborated by all experiments realised so far. Nonetheless,…

Quantum Physics · Physics 2024-10-11 Chiara Marletto , Vlatko Vedral

The interpretations of solutions of Einstein field's equations led to the prediction and the observation of physical phenomena which confirm the important role of general relativity, as well as other relativistic theories in physics. In…

General Relativity and Quantum Cosmology · Physics 2007-12-07 S. M. Kozyrev

We review recent progress and a number of future directions for applications of effective field theory methods to condensed matter systems broadly defined. Our emphasis is on areas that have allowed a fertile exchange of ideas between high…

High Energy Physics - Theory · Physics 2022-03-22 Tomas Brauner , Sean A. Hartnoll , Pavel Kovtun , Hong Liu , Márk Mezei , Alberto Nicolis , Riccardo Penco , Shu-Heng Shao , Dam Thanh Son

The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational…

High Energy Physics - Theory · Physics 2018-10-17 Xavier Calmet , Basem Kamal El-Menoufi , Boris Latosh , Sonali Mohapatra

Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental…

High Energy Physics - Theory · Physics 2011-08-17 Giampiero Esposito

We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level…

High Energy Physics - Theory · Physics 2017-08-23 Lee Smolin

Algebraic quantum field theory is an approach to relativistic quantum physics, notably the theory of elementary particles, which complements other modern developments in this field. It is particularly powerful for structural analysis but…

Mathematical Physics · Physics 2007-05-23 Detlev Buchholz

Many novel quantum phenomena emerge in non-equilibrium relativistic quantum matter under extreme conditions such as strong magnetic fields and rotations. The quantum kinetic theory based on Wigner functions in quantum field theory provides…

High Energy Physics - Phenomenology · Physics 2022-10-25 Yoshimasa Hidaka , Shi Pu , Qun Wang , Di-Lun Yang

We present in detail an Effective Field Theory (EFT) formulation for the essential case of spinning objects as the components of inspiralling compact binaries. We review its implementation, carried out in a series of works in recent years,…

General Relativity and Quantum Cosmology · Physics 2018-09-27 Michele Levi

Experiments using high-power lasers and relativistic electron beams will soon be capable of precision testing of the theory of strong-field quantum electrodynamics. The comparison between experiment and theory always occurs via numerical…

High Energy Physics - Phenomenology · Physics 2025-08-07 T. G. Blackburn

At the beginning of the previous century, Newtonian mechanics fell victim to two new revolutionary theories, Quantum Mechanics (QM) and General Relativity (GR). Both theories have transformed our view of physical phenomena, with QM…

Quantum Physics · Physics 2018-03-22 Richard Howl , Lucia Hackermuller , David Edward Bruschi , Ivette Fuentes

Analogue models of gravity have provided an experimentally realizable test field for our ideas on quantum field theory in curved spacetimes but they have also inspired the investigation of possible departures from exact Lorentz invariance…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Stefano Liberati

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…

General Physics · Physics 2009-11-10 Chang-Yu Zhu , Heng Fan

The cosmological constant problem can be understood as the failure of the decoupling principle behind effective field theory, so that some quantities in the low-energy theory are extremely sensitive to the high-energy properties. While this…

High Energy Physics - Theory · Physics 2015-12-01 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

Atomic high-precision measurements have become a competitive and essential technique for tests of fundamental physics, the Standard Model, and our theory of gravity. It is therefore self-evident that such measurements call for a consistent…

Quantum Physics · Physics 2024-05-24 Tobias Asano , Enno Giese , Fabio Di Pumpo