Green’s Function of a Spin- 1 2 $$\tfrac {1}{2}$$ Particle in a Constant External Magnetic Field

2020 ◽  
pp. 485-497
Author(s):  
Walter Dittrich ◽  
Martin Reuter
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Green’S Function ◽  
Green's Function ◽  
Constant External Magnetic Field

scholarly journals Fluctuation Relations for Dissipative Systems in Constant External Magnetic Field: Theory and Molecular Dynamics Simulations

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 146
Author(s):  
Alessandro Coretti ◽  
Lamberto Rondoni ◽  
Sara Bonella
Keyword(s):  
Magnetic Field ◽  
Molecular Dynamics ◽  
External Magnetic Field ◽  
Molecular Dynamics Simulations ◽  
Nonequilibrium Molecular Dynamics ◽  
Dissipative Systems ◽  
Common Belief ◽  
Fluctuation Relations ◽  
Dynamics Simulations ◽  
Constant External Magnetic Field

We illustrate how, contrary to common belief, transient Fluctuation Relations (FRs) for systems in constant external magnetic field hold without the inversion of the field. Building on previous work providing generalized time-reversal symmetries for systems in parallel external magnetic and electric fields, we observe that the standard proof of these important nonequilibrium properties can be fully reinstated in the presence of net dissipation. This generalizes recent results for the FRs in orthogonal fields—an interesting but less commonly investigated geometry—and enables direct comparison with existing literature. We also present for the first time a numerical demonstration of the validity of the transient FRs with nonzero magnetic field via nonequilibrium molecular dynamics simulations of a realistic model of liquid NaCl.

scholarly journals 1-Loop mass generation by a constant external magnetic field for an electron propagating in a thin medium

2018 ◽  
Vol 32 (10) ◽  
pp. 1850114
Author(s):  
B. Machet
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Landau Level ◽  
Mass Formula ◽  
Mass Shell ◽  
Mass Generation ◽  
Self Energy ◽  
Lowest Landau Level ◽  
Dirac Electron ◽  
Constant External Magnetic Field

The 1-loop self-energy of a Dirac electron of mass [Formula: see text] propagating in a thin medium simulating graphene in an external magnetic field [Formula: see text] is investigated in quantum field theory. Equivalence is shown with the so-called reduced QED[Formula: see text] on a 2-brane. Schwinger-like methods are used to calculate the self-mass [Formula: see text] of the electron when it lies in the lowest Landau level. Unlike in standard QED[Formula: see text], it does not vanish at the limit [Formula: see text]: [Formula: see text] on-mass-shell renormalization conditions (with [Formula: see text]); all Landau levels of the virtual electron are taken into account and are implemented. Restricting to the sole lowest Landau level of the virtual electron is explicitly shown to be inadequate. Resummations at higher orders lie beyond the scope of this work.

Propagation of a Z meson in a homogeneous magnetic field

1981 ◽  
Vol 59 (10) ◽  
pp. 1354-1358
Author(s):  
Gerry McKeon
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Effective Interaction ◽  
Homogeneous Magnetic Field ◽  
Virtual Particles ◽  
Constant External Magnetic Field

The propagation of a Z meson in a homogeneous magnetic field is studied in the context of the Salam–Weinberg model. One loop corrections to the Z propagator can contain charged virtual particles, leading to an effective interaction with a constant external magnetic field. Only the contribution of virtual charged fermions are considered in this paper.

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