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We investigate the algebraic structure of integrable hierarchies that, we propose, underlie models of $W$-gravity coupled to matter. More precisely, we concentrate on the dispersionless limit of the topological subclass of such theories, by…

High Energy Physics - Theory · Physics 2009-10-22 W. Lerche

Taking matrix as a synonym for a numerical function on the Cartesian product of two (in general, infinite) sets, a simple purely algebraic "reciprocity property" says that the set of rows spans a finite-dim space iff the set of columns does…

Functional Analysis · Mathematics 2008-08-29 Eliahu Levy

In this paper, we introduce and study the class of {\it enriched strictly pseudocontractive mappings} in Hilbert spaces and extend the corresponding convergence theorem (Theorem 12) in [Browder, F. E., Petryshyn, W. V., {\it Construction of…

Functional Analysis · Mathematics 2019-09-10 Vasile Berinde

Using a coupling argument, we establish a general weak law of large numbers for functionals of binomial point processes in d-dimensional space, with a limit that depends explicitly on the (possibly non-uniform) density of the point process.…

Probability · Mathematics 2007-05-23 Mathew D. Penrose , J. E. Yukich

A quantum group analysis is applied to the Sine-Gordon model (or may be its version) in a strong-coupling regime. Infinitely many bound states are found together with the corresponding S-matrices. These new solutions of the Yang-Baxter…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Pokrovsky

We present the leading order coupling of double-heavy hadrons to heavy hadron pairs in Born-Oppenheimer effective field theory. We obtain the expressions for the contribution of heavy hadron pairs to the masses and widths of double-heavy…

High Energy Physics - Phenomenology · Physics 2024-07-16 Jaume Tarrús Castellà

We report on the electronic structure, density of states and transmission properties of the periodic one-dimensional Tight-Binding (TB) lattice with a single orbital per site and nearest-neighbor interactions, with a generic unit cell of…

Materials Science · Physics 2018-02-26 K. Lambropoulos , C. Simserides

The relationship according to which one physical theory encompasses the domain of empirical validity of another is widely known as "reduction." Here it is argued that one popular methodology for showing that one theory reduces to another,…

History and Philosophy of Physics · Physics 2019-10-23 Joshua Rosaler

We demonstrate that the propagator, derived from an Effective Field Theory (EFT) that incorporates Weinberger's compositeness theorem, provides a more general formula for describing S-wave near-threshold states. By fitting the lineshape…

High Energy Physics - Phenomenology · Physics 2025-02-07 Hongge Xu , Ning Yu , Zuman Zhang , Guoying Chen

Conformal field theory finds applications across diverse fields, from statistical systems at criticality to quantum gravity through the AdS/CFT correspondence. These theories are subject to strong constraints, enabling a systematic…

High Energy Physics - Theory · Physics 2024-01-22 Julien Barrat

An effective field theory exists describing a very large class of biophysically interesting Coulomb gas systems: the lowest order (mean-field) version of this theory takes the form of a generalized Poisson-Boltzmann theory. Interaction…

High Energy Physics - Lattice · Physics 2008-11-26 Anthony Duncan

We investigate a system of two polarized molecules in a layered trap. The molecules reside in adjacent layers and interact purely via the dipole-dipole interaction. We determine the properties of the ground state of the system as a function…

Atomic and Molecular Clusters · Physics 2011-06-01 D. V. Fedorov , J. R. Armstrong , N. T. Zinner , A. S. Jensen

Effective field theories consistent with quantum gravity obey surprising finiteness constraints, appearing in several distinct but interconnected forms. In this work we develop a framework that unifies these observations by proposing that…

High Energy Physics - Theory · Physics 2026-02-11 Thomas W. Grimm , David Prieto , Mick van Vliet

A number of successful theoretical models of hardness have been developed recently. A thermodynamic model of hardness, which supposes the intrinsic character of correlation between hardness and thermodynamic properties of solids, allows one…

Materials Science · Physics 2018-04-20 V. A. Mukhanov , O. O. Kurakevych , V. L. Solozhenko

We generalize solid-state tight-binding techniques for the spectral analysis of large superconducting circuits. We find that tight-binding states can be better suited for approximating the low-energy excitations than charge-basis states, as…

Quantum Physics · Physics 2021-09-22 D. K. Weiss , Wade DeGottardi , Jens Koch , D. G. Ferguson

Post-Newtonian theory is considered a reliable effective expansion of General Relativity in the weak-field and slow-motion limit. We argue that such a belief is misplaced. In generic many-body relativistic dynamics, the absence of globally…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Marco Galoppo , Giorgio Torrieri

We use a near-threshold parameterization with explicit inclusion of the Castillejo-Dalitz-Dyson poles, which is more general than the effective range expansion, to study the bottomonium-like states $Z_b(10610)$ and $Z_b(10650)$. In terms of…

High Energy Physics - Phenomenology · Physics 2022-05-18 Lu Zhang , Xian-Wei Kang , Xin-Heng Guo

We use type I string models with supersymmetry broken by compactification (\`a la Scherk-Schwarz) in order to test the weak gravity conjecture in the presence of runaway potentials in a perturbative string theory setting. For a finite value…

High Energy Physics - Theory · Physics 2021-05-28 Quentin Bonnefoy , Emilian Dudas , Severin Lüst

The contributions of non-standard four-neutrino contact interactions to electroweak observables are considered at the one-loop level by using the effective quantum field theory. The analysis is done in terms of three unknown parameters: the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mikhail Bilenky , Arcadi Santamaria

The understanding of the behaviour of systems of identical composite bosons has progressed significantly in connection with the analysis of the entanglement between constituents and the development of coboson theory. The basis of these…