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I briefly review some scenarios for the role of the Planck length in quantum gravity. In particular, I examine the differences between the schemes in which quantum gravity is expected to introduce a maximum acceleration and the schemes in…

Astrophysics · Physics 2017-08-23 Giovanni Amelino-Camelia

We construct a class of theories which are scale invariant on quantum level in all orders of perturbation theory. In a subclass of these models scale invariance is spontaneously broken, leading to the existence of a massless dilaton. The…

High Energy Physics - Theory · Physics 2009-01-16 Mikhail Shaposhnikov , Daniel Zenhausern

Consequences of new quantum spin perspective in quantum gravity are far-reaching. Results of this novel perspective in loop quantum gravity, i.e., the modification of the equation of geometrical operators such as the area and the volume…

General Relativity and Quantum Cosmology · Physics 2023-04-11 Rakshit P. Vyas , Mihir J. Joshi

I briefly review solutions to the strong CP problem based on axions, parity invariance, CP-invariance, and present a new idea based on CP as part of a spontaneously broken flavour symmetry such as a U(1) or modular invariance.

High Energy Physics - Phenomenology · Physics 2025-01-29 Alessandro Strumia

We discuss some of the issues which we encounter when we try to invoke the scalar-tensor theories of gravitation as a theoretical basis of quintessence. One of the advantages of appealing to these theories is that they allow us to implement…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yasunori Fujii

We consider a model for gravity that is invariant under global scale transformations. It includes one extra real scalar field coupled non-minimally to the gravity fields. In this model all the dimensionful parameters like the gravitational…

General Relativity and Quantum Cosmology · Physics 2012-02-06 Pankaj Jain , Purnendu Karmakar , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

We present a new mechanism to solve the strong CP problem using $N\geq2$ axions, each dynamically relaxing part of the $\bar\theta$ parameter. At high energies $M\gg\Lambda_{QCD}$ the $SU(3)_{c}$ group becomes the diagonal subgroup of an…

High Energy Physics - Phenomenology · Physics 2018-12-26 Prateek Agrawal , Kiel Howe

The origin of CP violation is a major mystery, especially in relation to the strong CP problem. CP being a spontaneously broken symmetry could provide an elegant solution. However, such models have difficulty making themselves compatible…

High Energy Physics - Phenomenology · Physics 2007-05-23 Otto C. W. Kong

Recent studies have claimed that the strong $CP$ problem does not occur in QCD, proposing a new order of limits in volume and topological sectors when studying observables on the lattice. In order to shed light on this issue, we study the…

High Energy Physics - Lattice · Physics 2024-11-27 David Albandea , Guilherme Catumba , Alberto Ramos

We present a solution to the strong CP problem, which relies on the horizontal gauge symmetry and CP invariance in a full theory. Similar to other Nelson-Barr type solutions, CP violation in both the strong and weak sectors in the Standard…

High Energy Physics - Phenomenology · Physics 2019-11-25 Gongjun Choi , Tsutomu T. Yanagida

We explore the notion of approximate global symmetries in quantum field theory and quantum gravity. We show that a variety of conjectures about quantum gravity, including the weak gravity conjecture, the distance conjecture, and the…

High Energy Physics - Theory · Physics 2022-12-14 Clay Cordova , Kantaro Ohmori , Tom Rudelius

We explore the infrared limit of quantum gravity in presence of a cosmological constant or effective potential for scalar fields. For a positive effective scalar potential, one-loop perturbation theory around flat space is divergent due to…

General Relativity and Quantum Cosmology · Physics 2018-08-01 C. Wetterich

Over the last few years the study of possible Planck-scale departures from classical Lorentz symmetry has been one of the most active areas of quantum-gravity research. We now have a satisfactory description of the fate of Lorentz symmetry…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Giovanni Amelino-Camelia

One of the main challenges in physics today is to merge quantum theory and the theory of general relativity into a unified framework. Various approaches towards developing such a theory of quantum gravity are pursued, but the lack of…

Quantum Physics · Physics 2012-06-06 Igor Pikovski , Michael R. Vanner , Markus Aspelmeyer , Myungshik Kim , Caslav Brukner

We show that models in which the strong $CP$ problem is solved by introducing an axion field with a mass enhanced by non-QCD UV dynamics at a scale $\Lambda_{\rm SI}$ exhibit enhanced sensitivity to external sources of $CP$ violation. In…

High Energy Physics - Phenomenology · Physics 2022-08-05 Ravneet S. Bedi , Tony Gherghetta , Maxim Pospelov

The theory of quantum gravity, in which tetrads emerge as the bilinear combinations of the fermionic field, suggests that in general relativity the interval $ds$ is dimensionless. Several other approaches to quantum gravity, including the…

Other Condensed Matter · Physics 2023-05-02 G. E. Volovik

Planck scale physics represents a future challenge, located between particle physics and general relativity. The Planck scale marks a threshold beyond which the old description of spacetime breaks down and conceptually new phenomena must…

High Energy Physics - Theory · Physics 2008-11-26 S. Hossenfelder

We propose two models where a U(1) Peccei-Quinn global symmetry arises accidentally and is respected up to high-dimensional operators, so that the axion solution to the strong CP problem is successful even in the presence of…

High Energy Physics - Phenomenology · Physics 2021-01-20 Marco Ardu , Luca Di Luzio , Giacomo Landini , Alessandro Strumia , Daniele Teresi , Jin-Wei Wang

We show that a previously proposed new mechanism to eliminate quadratic divergences for scalar masses is self-consistently compatible with corrections induced by perturbative quantum gravity, provided the theory embeds consistently into a…

High Energy Physics - Theory · Physics 2019-02-20 Krzysztof A. Meissner , Hermann Nicolai , Jan Plefka

We present a solution to the strong CP problem based on spontaneous CP violation and discrete family symmetries. The model predicts in a natural way the almost right-angled quark unitarity triangle angle ($\alpha \simeq 90^\circ$) by making…

High Energy Physics - Phenomenology · Physics 2013-11-27 Stefan Antusch , Martin Holthausen , Michael A. Schmidt , Martin Spinrath