Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds.

Autor: Santamaría-Sanz, Lucía
Předmět:
Zdroj: Progress of Theoretical & Experimental Physics: PTEP; May2024, Vol. 2024 Issue 5, p1-23, 23p
Abstrakt: The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topological background of a sine-Gordon kink, is studied through an extension of the TGTG -formula (developped by O. Kenneth and I. Klich in the scattering approach). Quantum vacuum oscillations around the sine-Gordon kink solutions are interpreted as a quantum scalar field theory in the spacetime of a domain wall. Moreover, the relation between the phase shift and the density of states (the well-known Dashen–Hasslacher–Neveu or DHN formula) is also exploited to characterize the quantum vacuum energy. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index