Smooth and sharp creation of a Dirichlet wall in 1+1 quantum field theory: how singular is the sharp creation limit?

Brown, Eric G.; Louko, Jorma

Abstract

We present and utilize a simple formalism for the smooth creation of boundary conditions within relativistic quantum field theory. We consider a massless scalar field in (1 + 1)-dimensional flat spacetime and imagine smoothly transitioning from there being no boundary condition to there being a two-sided Dirichlet mirror. The act of doing this, expectantly, generates a flux of real quanta that emanates from the mirror as it is being created. We show that the local stress-energy tensor of the flux is finite only if an infrared cutoff is introduced, no matter how slowly the mirror is created, in agreement with the perturbative results of Obadia and Parentani. In the limit of instaneous mirror creation the total energy injected into the field becomes ultraviolet divergent, but the response of an Unruh-DeWitt particle detector passing through the infinite burst of energy nevertheless remains finite. Implications for vacuum entanglement extraction and for black hole firewalls are discussed.

Citation

Brown, E. G., & Louko, J. (2015). Smooth and sharp creation of a Dirichlet wall in 1+1 quantum field theory: how singular is the sharp creation limit?. Journal of High Energy Physics, 2015(8), https://doi.org/10.1007/jhep08%282015%29061

• Journal Article Type: Article
• Acceptance Date: Jul 8, 2015
• Online Publication Date: Aug 13, 2015
• Publication Date: 2015-08
• Deposit Date: Oct 18, 2018
• Publicly Available Date: Oct 18, 2018
• Journal: Journal of High Energy Physics
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 2015
• Issue: 8
• Article Number: 61
• DOI: https://doi.org/10.1007/jhep08%282015%29061
• Keywords: Field Theories in Lower Dimensions; Nonperturbative Effects; Models of Quantum Gravity; Black Holes
• Public URL: https://nottingham-repository.worktribe.com/output/1174418
• Publisher URL: https://link.springer.com/article/10.1007%2FJHEP08%282015%29061