Random phase approximation and cluster mean field studies of hard core Bose Hubbard model

2018 ◽  
Author(s):  
Bhargav K. Alavani ◽  
Pallavi P. Gaude ◽  
Ramesh V. Pai
Keyword(s):  
Hubbard Model ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Mean Field ◽  
Hard Core ◽  
Field Studies ◽  
Phase Approximation

σ AND ω, WITH ∆-BARYON, AT HIGH TEMPERATURE

1996 ◽  
Vol 05 (03) ◽  
pp. 511-520
Author(s):  
ABHIJIT BHATTACHARYYA
Keyword(s):  
High Temperature ◽  
Temperature Dependence ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Mean Field ◽  
Meson Mass ◽  
Phase Approximation ◽  
Effective Masses ◽  
The Mean ◽  
Walecka Model

The temperature dependence of σ and ω meson effective masses due to the presence of Δ-baryon has been studied. Starting from the Walecka model, containing both nucleon and Δ, the temperature dependence of effective masses of nucleon and Δ have been calculated at the Mean Field (MF) level. These results have been used to calculate the contribution to the effective masses of σ and ω from both [Formula: see text]- and [Formula: see text]-loops in Random Phase Approximation (RPA). The results are quite interesting. The σ-meson mass increases due to the [Formula: see text] loop whereas it decreases due to [Formula: see text]-loop with temperature. Further, the change in σ-meson mass due to [Formula: see text]-loop is much more compared to that due to [Formula: see text]-loop. For the ω-meson, both the loops are responsible for the increase in mass with temperature.

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