Quantum scattering on a delta potential in ghostfree theory
Abstract
We discuss the quantummechanical scattering of a massless scalar field on a δpotential in a ghostfree theory and obtain analytic solutions for the scattering coefficients. Due to the nonlocality of the ghostfree theory the transmission coefficient tends to unity for frequencies much larger than the inverse scale of nonlocality, even for infinitely strong potentials. At the same time there exists a critical strength of the δpotential barrier below which there is always a frequency that is totally reflected. These scattering properties in ghostfree theories are quite generic and distinguish them from local field theories. Moreover, we study quasinormal states that are present for the δpotential well. In the limit of vanishing nonlocality, we recover the standard results of local field theory.
 Publication:

Physics Letters B
 Pub Date:
 July 2018
 DOI:
 10.1016/j.physletb.2018.06.018
 arXiv:
 arXiv:1805.01875
 Bibcode:
 2018PhLB..782..688B
 Keywords:

 LippmannSchwinger equation;
 Nonlocality;
 Quasinormal modes;
 Scattering coefficients;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Quantum Physics
 EPrint:
 v2: 7 pages, 2 figures, matches published version