5 research outputs found
Casimir energy and entropy between dissipative mirrors
We discuss the Casimir effect between two identical, parallel slabs,
emphasizing the role of dissipation and temperature. Starting from quite
general assumptions, we analyze the behavior of the Casimir entropy in the
limit T->0 and link it to the behavior of the slab's reflection coefficients at
low frequencies. We also derive a formula in terms of a sum over modes, valid
for dissipative slabs that can be interpreted in terms of a damped quantum
oscillator.Comment: 8 pages, 1 figur
The Two Loop Crossed Ladder Vertex Diagram with Two Massive Exchanges
We compute the (three) master integrals for the crossed ladder diagram with
two exchanged quanta of equal mass. The differential equations obeyed by the
master integrals are used to generate power series expansions centered around
all the singular (plus some regular) points, which are then matched numerically
with high accuracy. The expansions allow a fast and precise numerical
calculation of the three master integrals (better than 15 digits with less than
30 terms in the whole real axis). A conspicuous relation with the equal-mass
sunrise in two dimensions is found. Comparison with a previous large momentum
expansion is made finding complete agreement.Comment: 42 pages, 1 figur