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Existence results for radially symmetric oscillating solutions for a class of nonlinear autonomous Helmholtz equations are given and their exact asymptotic behavior at infinity is established. Some generalizations to nonautonomous radial…

Analysis of PDEs · Mathematics 2017-10-25 Rainer Mandel , Eugenio Montefusco , Benedetta Pellacci

We apply the principles of discrete time mechanics discussed in earlier papers to the first and second quantised Dirac equation. We use the Schwinger action principle to find the anticommutation relations of the Dirac field and of the…

High Energy Physics - Theory · Physics 2008-11-26 Keith Norton , George Jaroszkiewicz

A supersymmetric relativistic quantum theory in the temporal domain is developed for bi-spinor fields satisfying the Dirac equation. The simplest time-domain supersymmetric theory can be postulated for fields with time-dependent mass,…

A wide class of dilatation symmetric effective actions in higher dimensions leads to a vanishing four-dimensional cosmological constant. This requires no tuning of parameters and results from the absence of an allowed potential for the…

High Energy Physics - Theory · Physics 2009-12-10 C. Wetterich

An effective surface equation, that encapsulates the detail of a microstructure, is developed to model microstructured surfaces. The equations deduced accurately reproduce a key feature of surface wave phenomena, created by periodic…

The special galileon and Dirac-Born-Infeld (DBI) theories are effective field theories of a single scalar field that have many interesting properties in flat space. These theories can be extended to all maximally symmetric spaces, where…

High Energy Physics - Theory · Physics 2022-05-11 James Bonifacio , Kurt Hinterbichler , Austin Joyce , Diederik Roest

We continue our work on the study of spherically symmetric loop quantum gravity coupled to two spherically symmetric scalar fields, one which acts as a clock. As a consequence of the presence of the latter, we can define a true Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Rodolfo Gambini , Jorge Pullin

We study some possible astrophysical implications of a very weakly coupled ultralight dilaton-type scalar field. Such a field may develop an (approximately stable) network of domain walls. The domain wall thickness is assumed to be…

Astrophysics · Physics 2009-11-06 Gia Dvali , Gregory Gabadadze , M. Shifman

A new non-perturbative approach to quantum field theory is proposed. Instead of performing a path integral over configurations of classical fields, D-theory works with discrete quantized variables. Classical spin fields are replaced by…

High Energy Physics - Lattice · Physics 2009-10-31 U. -J. Wiese

The interplay of dilatonic effects in dilaton cosmology and stochastic quantum space-time defects within the framework of string/brane cosmologies is examined. The Boltzmann equation describes the physics of thermal dark-matter-relic…

High Energy Physics - Phenomenology · Physics 2013-05-02 Carl M. Bender , Nick E. Mavromatos , Sarben Sarkar

We search for theories, in general spacetime dimensions, that would incorporate a dilaton and higher powers of the scalar Ricci curvature such that they have exact S and/or T self-dualities. The theories we find are free of Ostrogradsky…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Tonguc Rador

The existence of bi-Hamiltonian structures for the rational Harmonic Oscillator (non-central harmonic oscillator with rational ratio of frequencies) is analyzed by making use of the geometric theory of symmetries. We prove that these…

High Energy Physics - Theory · Physics 2009-11-07 José F. Cariñena , Giuseppe Marmo , Manuel F. Rañada

We discuss the cosmological phenomenology of biscalar-tensor models displaying a maximally symmetric Einstein-frame kinetic sector and constructed on the basis of scale symmetry and volume-preserving diffeomorphisms. These theories contain…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-20 Santiago Casas , Georgios K. Karananas , Martin Pauly , Javier Rubio

We study long-term evolution of radiating quasi-Q-balls in 1+1 dimensional models without mass threshold. Two different models are considered, the model with a rational modification of the usual Q-ball sextic potential and the model of a…

High Energy Physics - Theory · Physics 2025-03-12 Tomasz Romanczukiewicz , Yakov Shnir

We consider the stability of oscillons in 2+1 space-time dimensions, in the presence of quantum fluctuations. Taking the oscillon to be the inhomogeneous mean field of a self-interacting quantum scalar field, we compare its classical…

High Energy Physics - Phenomenology · Physics 2015-06-18 Paul M. Saffin , Paul Tognarelli , Anders Tranberg

Dilatons ($\phi(x)$) are a class of bosonic scalar particles associated with scaling symmetry and its compensation (under the violations of the same). Due to two photon coupling, they can produce optical signatures in a magnetic field. In…

High Energy Physics - Phenomenology · Physics 2023-01-24 Ankur Chaubey , Manoj K. Jaiswal , Avijit K. Ganguly

Scalar field theories in $\text{(A)dS}_{2}$ with integer scaling dimensions $\Delta = k+1$ are characterised by the existence of a pair of (anti-)holomorphic higher-spin currents. We explore the consequences of this to describe their…

High Energy Physics - Theory · Physics 2026-01-30 Calvin Y. -R. Chen , Lukas W. Lindwasser , Massimo Porrati

The real time evolution of field condensates is solved for small and large field amplitudes in scalar theories.For small amplitudes,the quantum equations of motion for the condensate can be linearized and solved by Laplace transform. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , R. Holman , S. Prem Kumar , Rob D. Pisarski , J. Salgado

We study a class of perturbative scalar quantum field theories where dynamics is characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional order and the underlying spacetime has a varying spectral dimension.…

High Energy Physics - Theory · Physics 2021-08-16 Gianluca Calcagni

String theory abounds with light scalar fields (the dilaton and various moduli) which create a host of observational problems, and notably some serious cosmological difficulties similar to the ones associated with the Polonyi field in the…

High Energy Physics - Theory · Physics 2009-10-28 Thibault Damour , Alexander Vilenkin
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