RECORD
Negative Pressures in QED Vacuum in an External Magnetic Field
High Energy Physics - Phenomenology · Submitted 30 Mar 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Anisotropic pressures arise, and in the tree approximation of the magnetic field case, the pressure along $B$ is positive, whereas perpendicular to $B$ it is negative.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
Our aim is to study the electron-positron vacuum pressures in presence of a strong magnetic field $B$. To that end, we obtain a general energy-momentum tensor, depending on external parameters, which in the zero temperature and zero density limit leads to vacuum expressions which are approximation-independent. Anisotropic pressures arise, and in the tree approximation of the magnetic field case, the pressure along $B$ is positive, whereas perpendicular to $B$ it is negative. Due to the common axial symmetry, the formal analogy with the Casimir effect is discussed, for which in addition to the usual negative pressure perpendicular to the plates, there is a positive pressure along the plates. The formal correspondence between the Casimir and black body energy-momentum tensors is analyzed. The fermion hot vacuum behavior in a magnetic field is also briefly discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Our aim is to study the electron-positron vacuum pressures in presence of a strong magnetic field $B$. | contribution 0.81 | 0.45 | 0.04 | unclear 0.59 |
| s1 | To that end, we obtain a general energy-momentum tensor, depending on external parameters, which in the zero temperature and zero density limit leads to vacuum expressions which are approximation-independent. | method 0.88 | 0.93 | 0.06 | asserted 1.00 |
| s2 | Anisotropic pressures arise, and in the tree approximation of the magnetic field case, the pressure along $B$ is positive, whereas perpendicular to $B$ it is negative. | result 1.00 | 0.86 | 0.67 | asserted 1.00 |
| s3 | Due to the common axial symmetry, the formal analogy with the Casimir effect is discussed, for which in addition to the usual negative pressure perpendicular to the plates, there is a positive pressure along the plates. | interpretation 0.71 | 0.40 | 0.14 | asserted 0.84 |
| s4 | The formal correspondence between the Casimir and black body energy-momentum tensors is analyzed. | contribution 0.95 | 0.77 | 0.04 | asserted 0.79 |
| s5 | The fermion hot vacuum behavior in a magnetic field is also briefly discussed. | contribution 0.95 | 0.67 | 0.03 | asserted 0.59 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
Our aim is to study the electron-positron vacuum pressures in presence of a strong magnetic field $B$. To that end, we obtain a general energy-momentum tensor, depending on external parameters, which in the zero temperature and zero density limit leads to vacuum expressions which are approximation-independent. Anisotropic pressures arise, and in the tree approximation of the magnetic field case, the pressure along $B$ is positive, whereas perpendicular to $B$ it is negative. Due to the common axial symmetry, the formal analogy with the Casimir effect is discussed, for which in addition to the usual negative pressure perpendicular to the plates, there is a positive pressure along the plates. The formal correspondence between the Casimir and black body energy-momentum tensors is analyzed. The fermion hot vacuum behavior in a magnetic field is also briefly discussed.
Human review
How the literature uses it
Papers whose main result relates to this one's
States the same result 1 paper
-
In both magnetic field and Casimir cases it is shown the arising of anisotropic pressures.
Negative Pressures and Energies in Magnetized and Casimir Vacua · 0.93
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.