scholarly journals CASIMIR ENERGY FOR A MASSIVE DIRAC FIELD IN ONE SPATIAL DIMENSION: A DIRECT APPROACH

2012 ◽  
Vol 27 (07) ◽  
pp. 1250038 ◽  
Author(s):  
R. SAGHIAN ◽  
M. A. VALUYAN ◽  
A. SEYEDZAHEDI ◽  
S. S. GOUSHEH
Keyword(s):  
Boundary Condition ◽  
Analytic Continuation ◽  
Spatial Dimension ◽  
Casimir Energy ◽  
Dirac Field ◽  
Rigorous Derivation ◽  
Fermionic Field ◽  
Bag Model ◽  
Mit Bag Model ◽  
Massive Dirac Field

In this paper, we calculate the Casimir energy for a massive fermionic field confined between two points in one spatial dimension, with the MIT bag model boundary condition. We compute the Casimir energy directly by summing over the allowed modes. The method that we use is based on the Boyer's method, and there will be no need to resort to any analytic continuation techniques. We explicitly show the graph of the Casimir energy as a function of the distance between the points and the mass of the fermionic field. We also present a rigorous derivation of the MIT bag model boundary condition.

scholarly journals Numerical calculation of the quasinormal frequencies for the Dirac field in a Lifshitz black brane

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
A. M. Ares de Parga-Regalado ◽  
A. López-Ortega
Keyword(s):  
Boundary Condition ◽  
Dirichlet Boundary ◽  
Analytical Approximation ◽  
Asymptotic Region ◽  
Dirac Field ◽  
Black Brane ◽  
Exactly Solvable ◽  
Klein Gordon ◽  
Zero Momentum ◽  
Massive Dirac Field

Abstract In the zero momentum limit we numerically calculate the quasinormal frequencies of the massive Dirac field propagating in a Lifshitz black brane. We focus on the non-exactly solvable cases for the fermionic perturbations, so that our results are an extension of the examples already reported for the massive Klein–Gordon and Dirac fields in the zero momentum limit. Based on our numerical results, we propose an analytical approximation of the obtained quasinormal frequencies of the Dirac field and compare their behavior with those of the Klein–Gordon field. We extend the results on the Klein–Gordon quasinormal frequencies already published. Furthermore, by imposing the Dirichlet boundary condition at the asymptotic region, we are able to find more general results for the fermionic exactly solvable case previously studied.

scholarly journals CASIMIR ENERGY OF CONFINED FIELDS: A ROLE OF THE RG-INVARIANCE

2002 ◽  
Vol 17 (06n07) ◽  
pp. 874-878 ◽  
Author(s):  
IGOR O. CHEREDNIKOV
Keyword(s):  
Renormalization Group ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Casimir Energy ◽  
Bag Model ◽  
Group Invariance ◽  
Fermion Fields ◽  
Mit Bag Model

A role of the renormalization group invariance in calculations of the ground state energy for models with confined fermion fields is discussed. The case of the (1+1)D MIT bag model with the massive fermions is studied in detail.

scholarly journals Quark cores in extensions of the MIT Bag model

2021 ◽  
Author(s):  
Salil Joshi ◽  
Sovan Sau ◽  
Soma Sanyal
Keyword(s):  
Bag Model ◽  
Mit Bag Model

Phenomenological surface inertia in the MIT bag model

1983 ◽  
Vol 27 (11) ◽  
pp. 2708-2714 ◽  
Author(s):  
P. J. Mulders ◽  
G. Bhamathi ◽  
L. Heller ◽  
A. T. Aerts ◽  
A. K. Kerman
Keyword(s):  
Bag Model ◽  
Mit Bag Model

Microcosmos and Macrocosmos: A Look at these Two Universes in a Unified Way

1997 ◽  
Vol 12 (07) ◽  
pp. 1373-1384 ◽  
Author(s):  
P. R. Silva
Keyword(s):  
Strong Interaction ◽  
Gravitational Force ◽  
Inertial Mass ◽  
Hadronic Matter ◽  
Vacuum Pressure ◽  
Bag Model ◽  
Small Oscillations ◽  
Mit Bag Model ◽  
Two Universes ◽  
The Universe

An extension of the MIT bag model, developed to describe the strong interaction inside the hadronic matter (nucleons), is proposed as a means to account for the confinement of matter in the universe. The basic hypotheses of the MIT bag model are worked out in a very simplified way and are also translated in terms of the gravitational force. We call the nucleon "microcosmos" and the bag-universe "macrocosmos." We have found a vacuum pressure of 10-15 atm at the boundary of the bag-universe as compared with a pressure of 1029 atm at the boundary of the nucleon. Both universes are also analyzed in the light of Sciama's theory of inertia, which links the inertial mass of a body to its interaction with the rest of the universe. One of the consequences of this work is that the Weinberg mass can be interpreted as a threshold mass, namely the mass where the frequency of the small oscillations of a particle coupled to the universe matches its de Broglie frequency. Finally, we estimate an averaged density of matter in the universe, corresponding to [Formula: see text] of the critical or closure density.

The strong decays ϱ→2π and Δ→Nπ in the MIT bag model

1977 ◽  
Vol 40 (2) ◽  
pp. 135-140 ◽  
Author(s):  
J. Katz ◽  
S. Tatur
Keyword(s):  
Bag Model ◽  
Mit Bag Model
Sign in / Sign up

Export Citation Format

Share Document