scholarly journals REGGE TRAJECTORIES FOR A SINGLE ATTRACTIVE YUKAWA POTENTIAL

1962 ◽  
Author(s):  
A. Ahmadzadeh ◽  
P. G. Burke ◽  
C. Tate
1973 ◽  
Vol 14 (9) ◽  
pp. 1291-1295 ◽  
Author(s):  
H.J.W. Müller‐Kirsten ◽  
N. Vahedi‐Faridi

2013 ◽  
Vol 3 (2) ◽  
pp. 197-202
Author(s):  
Amir Pishkoo ◽  
Maslina Darus

This paper presents a mathematical model that provides analytic connection between four fundamental forces (interactions), by using modified reciprocal theorem,derived in the paper, as a convenient template. The essential premise of this work is to demonstrate that if we obtain with a form of the Yukawa potential function [as a meromorphic univalent function], we may eventually obtain the Coloumb Potential as a univalent function outside of the unit disk. Finally, we introduce the new problem statement about assigning Meijer's G-functions to Yukawa and Coloumb potentials as an open problem.


2020 ◽  
Vol 75 (5) ◽  
pp. 449-463
Author(s):  
Dominik Lips ◽  
Artem Ryabov ◽  
Philipp Maass

AbstractDriven diffusive systems constitute paradigmatic models of nonequilibrium physics. Among them, a driven lattice gas known as the asymmetric simple exclusion process (ASEP) is the most prominent example for which many intriguing exact results have been obtained. After summarising key findings, including the mapping of the ASEP to quantum spin chains, we discuss the recently introduced Brownian ASEP (BASEP) as a related class of driven diffusive system with continuous space dynamics. In the BASEP, driven Brownian motion of hardcore-interacting particles through one-dimensional periodic potentials is considered. We study whether current–density relations of the BASEP can be considered as generic for arbitrary periodic potentials and whether repulsive particle interactions other than hardcore lead to similar results. Our findings suggest that shapes of current–density relations are generic for single-well periodic potentials and can always be attributed to the interplay of a barrier reduction, blocking, and exchange symmetry effect. This implies that in general up to five different phases of nonequilibrium steady states are possible for such potentials. The phases can occur in systems coupled to particle reservoirs, where the bulk density is the order parameter. For multiple-well periodic potentials, more complex current–density relations are possible, and more phases can appear. Taking a repulsive Yukawa potential as an example, we show that the effects of barrier reduction and blocking on the current are also present. The exchange symmetry effect requires hardcore interactions, and we demonstrate that it can still be identified when hardcore interactions are combined with weak Yukawa interactions. The robustness of the collective dynamics in the BASEP with respect to variations of model details can be a key feature for a successful observation of the predicted current–density relations in actual physical systems.


Pramana ◽  
2021 ◽  
Vol 95 (3) ◽  
Author(s):  
Obu J Abebe ◽  
Okoi P Obeten ◽  
Uduakobong S Okorie ◽  
Akpan N Ikot

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Simon Caron-Huot ◽  
Joshua Sandor

Abstract The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid even away from Regge limit. The representation extends convergence of the OPE by rewriting it as a double integral over continuous spins and dimensions, and features a novel “Regge block”. We test the formula in the conformal fishnet theory, where exact results involving nontrivial Regge trajectories are available.


1976 ◽  
Vol 64 (3) ◽  
pp. 301-303 ◽  
Author(s):  
Chan Hong-Mo ◽  
Ken-ichi Konishi ◽  
J. Kwiecinski ◽  
R.G. Roberts
Keyword(s):  

1969 ◽  
Vol 188 (5) ◽  
pp. 2438-2442 ◽  
Author(s):  
Akbar Ahmadzadeh ◽  
William B. Kaufmann

2007 ◽  
Vol 47 (6) ◽  
pp. 1639-1640
Author(s):  
Hemwati Nandan ◽  
H. C. Chandola ◽  
H. Dehnen

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