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Search Results (4)

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Keywords = Regge-type

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18 pages, 980 KiB  
Article
Dip-Bump Structure in Proton’s Single Diffractive Dissociation at the Large Hadron Collider
by László Jenkovszky, Rainer Schicker and István Szanyi
Universe 2024, 10(5), 208; https://doi.org/10.3390/universe10050208 - 7 May 2024
Cited by 4 | Viewed by 1253
Abstract
By extending the dipole Pomeron (DP) model, successful in describing elastic nucleon–nucleon scattering, to proton single diffractive dissociation (SD), we predict a dip-bump structure in the squared four-momentum transfer (t) distribution of proton’s SD. Structures in the t distribution of single [...] Read more.
By extending the dipole Pomeron (DP) model, successful in describing elastic nucleon–nucleon scattering, to proton single diffractive dissociation (SD), we predict a dip-bump structure in the squared four-momentum transfer (t) distribution of proton’s SD. Structures in the t distribution of single diffractive dissociation are predicted around t=−4GeV2 at LHC energies in the range of 3 GeV2≲|t|≲ 7 GeV2. Apart from the dependence on s (total energy squared) and t (squared momentum transfer), we predict also a dependence on missing masses. We include the minimum set of Regge trajectories, namely the Pomeron and the Odderon, indispensable at the LHC. Further generalization, e.g., by the inclusion of non-leading Regge trajectories, is straightforward. The present model contains two types of Regge trajectories: those connected with t-channel exchanges (the Pomeron, the Odderon, and non-leading (secondary) reggeons) appearing at small and moderate −t, where they are real and nearly linear, as well as direct-channel trajectories α(M2) related to missing masses. In this paper, we concentrate on structures in t neglecting (for the time being) resonances in M2. Full article
(This article belongs to the Special Issue Multiparticle Dynamics)
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13 pages, 285 KiB  
Article
Symmetry Transformations in Cosmological and Black Hole Analytical Solutions
by Edgar A. León and Andrés Sandoval-Rodríguez
Symmetry 2024, 16(4), 394; https://doi.org/10.3390/sym16040394 - 28 Mar 2024
Viewed by 1594
Abstract
We analyze the transformation of a very broad class of metrics that can be expressed in terms of static coordinates. Starting from a general ansatz, we obtain a relation for the parameters in which one can impose further symmetries or restrictions. One of [...] Read more.
We analyze the transformation of a very broad class of metrics that can be expressed in terms of static coordinates. Starting from a general ansatz, we obtain a relation for the parameters in which one can impose further symmetries or restrictions. One of the simplest restrictions leads to FLRW cases, while transforming from the initial static to other static-type coordinates can lead to near horizon coordinates, Wheeler–Regge, and isotropic coordinates, among others. As less restrictive cases, we show an indirect route for obtaining Kruskal–Szekeres within this approach, as well as Lemaître coordinates. We use Schwarzschild spacetime as a prototype for testing the procedure in individual cases. However, application to other spacetimes, such as de-Sitter, Reissner–Nordström, and Schwarzschild de Sitter, can be readily generalized. Full article
(This article belongs to the Special Issue Exact Solutions in Modern Cosmology with Symmetry/Asymmetry)
11 pages, 286 KiB  
Article
Behavior of the Eigenvalues and Eignfunctions of the Regge-Type Problem
by Karwan H. F. Jwamer and Rando R. Q. Rasul
Symmetry 2021, 13(1), 139; https://doi.org/10.3390/sym13010139 - 15 Jan 2021
Cited by 1 | Viewed by 2357
Abstract
This article investigates the spectral theory of the problem of the Regge-type with transmission conditions and discontinuous coefficients. We formulate a new linear operator, by which we can deal with simplicity and boundedness of the eigenpairs of the problem. The aim of this [...] Read more.
This article investigates the spectral theory of the problem of the Regge-type with transmission conditions and discontinuous coefficients. We formulate a new linear operator, by which we can deal with simplicity and boundedness of the eigenpairs of the problem. The aim of this work is to conduct that the problem has an infinite number of simple positive eigenvalues. Full article
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16 pages, 341 KiB  
Article
On the Discrete Version of the Schwarzschild Problem
by Vladimir Khatsymovsky
Universe 2020, 6(10), 185; https://doi.org/10.3390/universe6100185 - 17 Oct 2020
Cited by 5 | Viewed by 2362
Abstract
We consider a Schwarzschild type solution in the discrete Regge calculus formulation of general relativity quantized within the path integral approach. Earlier, we found a mechanism of a loose fixation of the background scale of Regge lengths. This elementary length scale is defined [...] Read more.
We consider a Schwarzschild type solution in the discrete Regge calculus formulation of general relativity quantized within the path integral approach. Earlier, we found a mechanism of a loose fixation of the background scale of Regge lengths. This elementary length scale is defined by the Planck scale and some free parameter of such a quantum extension of the theory. Besides, Regge action was reduced to an expansion over metric variations between the tetrahedra and, in the main approximation, is a finite-difference form of the Hilbert–Einstein action. Using for the Schwarzschild problem a priori general non-spherically symmetrical ansatz, we get finite-difference equations for its discrete version. This defines a solution which at large distances is close to the continuum Schwarzschild geometry, and the metric and effective curvature at the center are cut off at the elementary length scale. Slow rotation can also be taken into account (Lense–Thirring-like metric). Thus, we get a general approach to the classical background in the quantum framework in zero order: it is an optimal starting point for the perturbative expansion of the theory, finite-difference equations are classical, and the elementary length scale has quantum origin. Singularities, if any, are resolved. Full article
(This article belongs to the Special Issue Selected Papers from the 17th Russian Gravitational Conference —International Conference on Gravitation, Cosmology and Astrophysics (RUSGRAV-17))
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