scholarly journals Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction

2018 ◽  
Vol 19 (5) ◽  
pp. 1507-1527 ◽  
Author(s):  
Andreas Deuchert ◽  
Alissa Geisinger ◽  
Christian Hainzl ◽  
Michael Loss
Keyword(s):  
Pair Interaction ◽  
Translational Symmetry ◽  
Bcs Model

SOLUTION OF THE COOPER-BCS EQUATIONS WITH AN ENERGY-DEPENDENT ELECTRON-BOSON INTERACTION

1993 ◽  
Vol 07 (13) ◽  
pp. 2529-2538
Author(s):  
V. DALLACASA ◽  
M. PAIUSCO ◽  
L. MANES
Keyword(s):  
Numerical Solution ◽  
Isotope Effect ◽  
Energy Dependence ◽  
Pair Interaction ◽  
Bcs Model ◽  
Energy Dependent

A numerical solution of the Cooper-BCS model is given, taking into account the energy dependence of the pair interaction U(ε) in the form suggested by Fröhlich. At energies corresponding to scales Δx≈100 A this model is found to predict a high Tc≈100 K, with absence of isotope effect, in the weak to moderate coupling limit, and to reduce to the usual BCS model with constant interaction at macroscopic scales.

scholarly journals More on the flavor dependence of mϱ/fπ

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Andrey Yu. Kotov ◽  
Daniel Nogradi ◽  
Kalman K. Szabo ◽  
Lorinc Szikszai
Keyword(s):  
Gauge Theory ◽  
Symmetry Breaking ◽  
Finite Volume ◽  
Continuum Limit ◽  
Low Energy ◽  
Translational Symmetry ◽  
Fundamental Representation ◽  
Staggered Fermions ◽  
Link Type ◽  
Volume Effects

Abstract In previous work, [arXiv:1905.01909], we have calculated the mϱ/fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to Nf = 2, 3, 4, 5, 6 fermions in the fundamental representation. The main result was that this ratio displays no statistically significant Nf-dependence. In the present work we continue the study of the Nf-dependence by extending the simulations to Nf = 7, 8, 9, 10. Along the way we also study in detail the Nf-dependence of finite volume effects on low energy observables and a particular translational symmetry breaking unphysical, lattice artefact phase specific to staggered fermions.

Effective Wills–Harrison Pair Interaction in Liquid Au

2019 ◽  
Vol 2019 (8) ◽  
pp. 835-837
Author(s):  
N. E. Dubinin ◽  
G. M. Bhuiyan ◽  
F. I. Abbas
Keyword(s):  
Pair Interaction

scholarly journals Cooperation and competition between pair and multi-player social games in spatial populations

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Attila Szolnoki ◽  
Xiaojie Chen
Keyword(s):  
Public Goods ◽  
Evolutionary Game Theory ◽  
Evolutionary Game ◽  
Pair Interaction ◽  
Public Goods Game ◽  
Point Interactions ◽  
Social Games ◽  
The Public ◽  
Specific Parameter ◽  
Group Members

AbstractThe conflict between individual and collective interests is in the heart of every social dilemmas established by evolutionary game theory. We cannot avoid these conflicts but sometimes we may choose which interaction framework to use as a battlefield. For instance some people like to be part of a larger group while other persons prefer to interact in a more personalized, individual way. Both attitudes can be formulated via appropriately chosen traditional games. In particular, the prisoner’s dilemma game is based on pair interaction while the public goods game represents multi-point interactions of group members. To reveal the possible advantage of a certain attitude we extend these models by allowing players not simply to change their strategies but also let them to vary their attitudes for a higher individual income. We show that both attitudes could be the winner at a specific parameter value. Interestingly, however, the subtle interplay between different states may result in a counterintuitive evolutionary outcome where the increase of the multiplication factor of public goods game drives the population to a fully defector state. We point out that the accompanying pattern formation can only be understood via the multipoint or multi-player interactions of different microscopic states where the vicinity of a particular state may influence the relation of two other competitors.

scholarly journals The chiral biquadratic pair interaction

2019 ◽  
Vol 21 (8) ◽  
pp. 083015 ◽  
Author(s):  
Sascha Brinker ◽  
Manuel dos Santos Dias ◽  
Samir Lounis
Keyword(s):  
Pair Interaction
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