Quantum Electrodynamics in Strong Magnetic Fields. IV. Electron Self-energy

Parle, A. J.

doi:10.1071/ph870001

Cited by 12 publications

(7 citation statements)

References 1 publication

(1 reference statement)

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“…(18) we obtain and, after performing the integrations, (here we have corrected an error in Eq. (78) of [13]). This transition probability is extremely small compared to the spin-flip transition rate to the ground state rN, + because of the small energy difference; for N = 1…”

Section: Transitions Between Split Landau Levelsmentioning

confidence: 98%

“…The calculation of the energy of an electron in a homogeneous magnetic field including radiative corrections re-0556-2821/94/49( 10)/5582 (8) quires the knowledge of the corresponding electron propagator which can be obtained by a perturbation expansion in terms of a [6,13,14]; this is indicated in Fig. 1.…”

Section: Derivation Of Energy Correctionsmentioning

confidence: 99%

“…We are now in the position to calculate the energy shift to lowest order in a; consider the matrix It can be shown (see also [13]) that WQSQ, is diagonal with respect to all quantum numbers (including the spin); this is a consequence of an appropriate choice of wave functions xQ. Thus, the energy shift AEQ is given by After a lengthy but straightforward calculation involving some theorems on Hermite polynomials and y matrices we are left with a complicated double integral expression for the self-energy shift [11,12] In this formula p,#O.…”

Section: Derivation Of Energy Correctionsmentioning

confidence: 99%

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Electron self-energy in a homogeneous magnetic field

et al. 1994

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A relativistic calculation of the electron self-energy in a strong homogeneous magnetic field is presented, and the final expressions are calculated numerically for the Landau levels N =0,1,2,3 and both spin projections ( u = +I). For a given N > 0 the energy of the spin-up state (u = + 1) increases monotonically, but the spin-down ( u = -1) energy is negative for small fields, shows a minimum, and then increases for large fields; a crossing of levels appears for N > 0. The total decay rates for these states are also obtained, as well as the spin-flip transition probability for (N = 1, u = + l ) + ( N = 1, u = -1). It turns out that this transition rate is extremely small compared to the usual cyclotron emission rates.PACS number(s): 12.20.Ds, 03.65.Pm, 97.60.Jd

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Section: Transitions Between Split Landau Levelsmentioning

confidence: 98%

Section: Derivation Of Energy Correctionsmentioning

confidence: 99%

Section: Derivation Of Energy Correctionsmentioning

confidence: 99%

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Electron self-energy in a homogeneous magnetic field

et al. 1994

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“…In [58] there is a discussion about a choice of the u (±) ζ,n,py,pz which diagonalizes the selfenergy corrections in vacuum. We have not found any simple generalization of that basis at finite temperature, as stated in Appendix B.…”

Section: A External-field Propagatormentioning

confidence: 99%

Thermal fermionic dispersion relations in a magnetic field

1996

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The thermal self-energy of an electron in a static uniform magnetic field B is calculated to first order in the fine structure constant α and to all orders in eB. We use two methods, one based on the Furry picture and another based on Schwinger's proper-time method. As external states we consider relativistic Landau levels with special emphasis on the lowest Landau level. In the high-temperature limit we derive self-consistent dispersion relations for particle and hole excitations, showing the chiral asymmetry caused by the external field. For weak fields, earlier results on the groundstate energy and the anomalous magnetic moment are discussed and compared with the present analysis. In the strong-field limit the appearance of a field-independent imaginary part of the self-energy, related to Landau damping in the e + e − plasma, is pointed out.

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“…Subsequently, there has been interest in the electron self-energy under a variety of conditions; in a strong magnetic field [5]; in an intense laser radiation field [6,7]; and in a thermal radiation field [8,9]. Such problems have provided theorists with a rich opportunity for substantive theoretical developments [10].…”

Section: Introductionmentioning

confidence: 99%

Electron mass shift in nonthermal systems

Hagelstein¹,

Chaudhary²

2008

J. Phys. B: At. Mol. Opt. Phys.

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Abstract.The electron mass is known to be sensitive to local fluctuations in the electromagnetic field, and undergoes a small shift in a thermal field. It was claimed recently that a very large electron mass shift should be expected near the surface of a metal hydride [Eur. Phys. J. C, 46 107 (2006)]. We examine the shift using a formulation based on the Coulomb gauge, which leads to a much smaller shift.The maximization of the electron mass shift under nonequilibrium conditions seems nonetheless to be an interesting problem. We consider a scheme in which a current in a hollow wire produces a large vector potential in the wire center. Fluctuations in an LC circuit with nearly matched loss and gain can produce large current fluctuations; and these can increase the electron mass shift by orders of magnitude over its room temperature value.PACS numbers: 32.90.+a,31.30.J-,31.30.jf Electron mass shift in nonthermal systems 2

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Quantum Electrodynamics in Strong Magnetic Fields. IV. Electron Self-energy

Cited by 12 publications

References 1 publication

Electron self-energy in a homogeneous magnetic field

Electron self-energy in a homogeneous magnetic field

Thermal fermionic dispersion relations in a magnetic field

Electron mass shift in nonthermal systems

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