scholarly journals Free Fermi and Bose Fields in TQFT and GBF

2013 ◽  
Author(s):  
Robert Oeckl
Keyword(s):  
Free Fermi

Functional Quantum Theory of Free Relativistic Fermi Fields

1970 ◽  
Vol 25 (5) ◽  
pp. 575-586
Author(s):  
H. Stumpf
Keyword(s):  
Hilbert Space ◽  
Quantum Theory ◽  
Physical Interpretation ◽  
Functional Equations ◽  
Dirac Field ◽  
Functional Hilbert Space ◽  
Free Fermi ◽  
Special Case ◽  
Relativistic Fermi

Functional quantum theory of free Fermi fields is treated for the special case of a free Dirac field. All other cases run on the same pattern. Starting with the Schwinger functionals of the free Dirac field, functional equations and corresponding many particle functionals can be derived. To establish a functional quantum theory, a physical interpretation of the functionals is required. It is provided by a mapping of the physical Hilbert space into an appropriate functional Hilbert space, which is introduced here. Mathematical details, especially the problems connected with anticommuting functional sources are treated in the appendices.

scholarly journals Asymptotic orbits in a free Fermi gas

1973 ◽  
Vol 33 (1) ◽  
pp. 1-22 ◽  
Author(s):  
R. Haag ◽  
R. V. Kadison ◽  
D. Kastler
Keyword(s):  
Fermi Gas ◽  
Free Fermi ◽  
Asymptotic Orbits

scholarly journals Improved treatment of dark matter capture in neutron stars III: nucleon and exotic targets

2021 ◽  
Vol 2021 (11) ◽  
pp. 056
Author(s):  
Filippo Anzuini ◽  
Nicole F. Bell ◽  
Giorgio Busoni ◽  
Theo F. Motta ◽  
Sandra Robles ◽  
...  
Keyword(s):  
Dark Matter ◽  
Neutron Star ◽  
Neutron Stars ◽  
Capture Rate ◽  
Form Factors ◽  
Mass Range ◽  
Strong Interactions ◽  
Dependent Form ◽  
Free Fermi ◽  
Total Capture

Abstract We consider the capture of dark matter (DM) in neutron stars via scattering on hadronic targets, including neutrons, protons and hyperons. We extend previous analyses by including momentum dependent form factors, which account for hadronic structure, and incorporating the effect of baryon strong interactions in the dense neutron star interior, rather than modelling the baryons as a free Fermi gas. The combination of these effects suppresses the DM capture rate over a wide mass range, thus increasing the cross section for which the capture rate saturates the geometric limit. In addition, variation in the capture rate associated with the choice of neutron star equation of state is reduced. For proton targets, the use of the interacting baryon approach to obtain the correct Fermi energy is essential for an accurate evaluation of the capture rate in the Pauli-blocked regime. For heavy neutron stars, which are expected to contain exotic matter, we identify cases where DM scattering on hyperons contributes significantly to the total capture rate. Despite smaller neutron star capture rates, compared to existing analyses, we find that the projected DM-nucleon scattering sensitivity greatly exceeds that of nuclear recoil experiments for a wide DM mass range.

GENERALIZED STATISTICS FIELDS AND THE TWO-DIMENSIONAL DERIVATIVE-COUPLING MODEL REVISITED

2011 ◽  
Vol 26 (13) ◽  
pp. 2155-2176
Author(s):  
L. V. BELVEDERE ◽  
A. F. RODRIGUES
Keyword(s):  
Vector Current ◽  
Coupling Model ◽  
Two Dimensions ◽  
Quantum Corrections ◽  
Two Dimensional ◽  
Operator Approach ◽  
Derivative Coupling ◽  
Operator Solution ◽  
Free Fermi ◽  
Current Derivative

We reexamine the two-dimensional derivative-coupling model within the operator approach that takes into account the quantum corrections of the fully bosonized Hamiltonian. As a consequence of the fact that there is no true spin-statistics theorem in two dimensions, the operator solution is rewritten in terms of a generalized Mandelstam soliton operator with continuous Lorentz spin (generalized statistics). The particular case corresponding to the Schroer model is considered: the effect of the vector-current-derivative coupling is to give a noncanonical scale dimension for the underlying free Fermi field promoting it to a free Mandelstam operator with generalized statistics.

scholarly journals NEUTRON SPIN POLARIZATION IN STRONG MAGNETIC FIELDS

2005 ◽  
Vol 14 (08) ◽  
pp. 1197-1204 ◽  
Author(s):  
H. WEN ◽  
L. S. KISSLINGER ◽  
WALTER GREINER ◽  
G. MAO
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Spin Polarization ◽  
Magnetic Moments ◽  
Wave Functions ◽  
Neutron Spin ◽  
Strong Magnetic Fields ◽  
Protons And Neutrons ◽  
Free Fermi ◽  
The Magnetic Field

The effects of strong magnetic fields on the inner crust of neutron stars are investigated after taking into account the anomalous magnetic moments of nucleons. The energy spectra and wave functions for protons and neutrons in a uniform magnetic field are provided. The particle spin polarizations and the yields of protons and neutrons are calculated in a free Fermi gas model. Obvious spin polarizations occur when B≥1014 G for protons and B≥1017 G for neutrons, respectively. It is shown that the neutron spin polarization depends solely on the magnetic field strength.

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