First-order relativistic corrections and spectral concentration

First Order Corrections to the Unruh Effect

First order corrections to the Unruh effect are calculated from a model of an accelerated particle detector of finite mass. We show that quantum smearing of the trajectory and large recoil essentially do not modify the Unruh effect. Nevertheless, we find corrections to the thermal distribution and to the Unruh temperature. In a certain limit, when the distribution at equilibrium remains exactly...

Relativistic corrections in magnetic systems

We present a weak-relativistic limit comparison between the Kohn-Sham-Dirac equation and its approximate form containing the exchange coupling, which is used in almost all relativistic codes of density-functional theory. For these two descriptions, an exact expression of the Dirac Green’s function in terms of the nonrelativistic Green’s function is first derived and then used to calculate the e...

Effective Hamiltonians with Relativistic Corrections

Fast Computation of First-Order Feature-Bispectrum Corrections

Features in the inflaton potential that are traversed in much less than an e-fold of the expansion can produce observably large non-Gaussianity. In these models first order corrections to the curvature mode function evolution induce effects at second order in the slow roll parameters that are generically greater than ∼ 10% and can reach order unity for order unity power spectrum features. From ...

First order radiative corrections to Bhabha scattering in d dimensions ∗

The luminosity measurement at the projected International Linear e + e − Collider ILC is planned to be performed with forward Bhabha scattering with an accuracy of the order of 10 −4. A theoretical prediction of the differential cross-section has to include one-loop weak corrections, with leading higher order terms, and the complete two-loop QED corrections. Here, we present the weak part and t...