7 research outputs found
Remarks on propagating waves in non-linear vacuum electrodynamics
Using the quadratic expansion in the photon fields of Euler-Heisemberg (EH)
non-linear electrodynamics (NLED) Lagrangian model we study relevant vacuum
properties in a scenario involving the propagation of a photon probe in the
presence of a background constant and static magnetic field, . We compute
the gauge invariant, symmetric and conserved energy-momentum tensor (EMT) and
the angular momentum tensor (AMT) for arbitrary magnetic field strength using
the Hilbert method under the soft-photon approximation. We discuss how the
presence of magneto-electric terms in the EH Lagrangian is a source of
anisotropy and induce the non-zero trace in the EMT, the latter being connected
to the non-conformal anomaly of the non-linear Lagrangian and with the
non-conservation of the light cone in Minkowski space-time inducing
birefringence. From the EMT we analyze some quantities of interest such as the
energy density, pressures, Poynting vector, and angular momentum vector and we
compare them with those obtained from the Noether method. The magnetized vacuum
properties are also studied showing that a photon-effective magnetic moment can
be defined for different polarization modes. The calculations are done in terms
of derivatives of the two scalar invariants of electrodynamics hence, extension
to other NLED Lagrangian is straightforward. We discuss further physical
implications and experimental strategies to test magnetization, photon pressure
and efective magnetic moment.Comment: 24 pages, 3 figure
Negative Pressures in QED Vacuum in an External Magnetic Field
Our aim is to study the electron-positron vacuum pressures in presence of a
strong magnetic field . 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 is positive,
whereas perpendicular to 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