Dynamical Casimir effect for fermions in 2+1 dimensions
- URL: http://arxiv.org/abs/2308.03158v1
- Date: Sun, 6 Aug 2023 16:54:29 GMT
- Title: Dynamical Casimir effect for fermions in 2+1 dimensions
- Authors: C. D. Fosco and G. Hansen
- Abstract summary: We study the fermion pair creation phenomenon due to the time dependence of curves, where boundary conditions are imposed on a Dirac field in 2+1 dimensions.
We show that the pair creation effect is maximized for bag boundary conditions, obtained for a particular value of that parameter.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the fermion pair creation phenomenon due to the time dependence of
curves, where boundary conditions are imposed on a Dirac field in 2+1
dimensions. These conditions, which lead to non-trivial relations for the
normal component of the fermionic current, depend on the value of a
dimensionless parameter. We show that the pair creation effect is maximized for
bag boundary conditions, obtained for a particular value of that parameter. The
effect is studied in terms of the effective action to extract information on
the probability of vacuum decay, using an expansion in powers of the
deformation of the curves with respect to straight lines. We demonstrate that
the first non-trivial contributions to this process can be obtained from the
electromagnetic vacuum polarization tensor for a Dirac field coupled to static
boundaries.
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