We perform a high statistics calculation of the equation of state for non-compact QED on large lattices. The calculation extends to fermionic correlation lengths of 8, and it is combined with a nite size scaling analysis of the lattice data.

A QED-based bootstrap mechanism, appearing at sufficiently small space-time scales, is suggested as an explanation for the " dark " vacuum energy that may be able to accelerate the universe. Very-small-scale virtual vacuum currents are assumed to generate small-scale electromagnetic fields, corresponding to the appearance of an effective 4-potential A ext µ (x), which is itself equal to the vev...

A short review of some of the most relevant contributions to non-perturbative QED is done. Since a Gaussian behaviour of QEDà la λφ 4 has been ruled out by the numerical data, I analyse the other two most reliable scenarios, i.e. trivialityà la Nambu-Jona Lasinio and non-Gaussian critical behaviour. I give a suggestive theoretical argument against a Gaussian behaviour of QEDà la Nambu-Jona Lasi...

We report calculations of QED corrections to the $g$ factor Li-like ions induced by exchange two virtual photons between electrons. The are performed within theory all orders in nuclear binding strength parameter $Z\alpha$, where $Z$ is charge number and $\alpha$ fine-structure constant. In region low charges we compare results from three different methods: QED, relativistic many-body perturbat...

We use the modified propagator for quantum field based on a “principle of path integral duality” proposed earlier in a paper by Padmanabhan to investigate several results in QED. This procedure modifies the Feynman propagator by the introduction of a fundamental length scale. We use this modified propagator for the Dirac particles to evaluate the first order radiative corrections in QED. We fin...

Achieving the highest precision for theoretical predictions at the LHC requires the calculation of hard-scattering cross sections that include perturbative QCD corrections up to (N)NNLO and electroweak (EW) corrections up to NLO. Parton distribution functions (PDFs) need to be provided with matching accuracy, which in the case of QED effects involves introducing the photon parton distribution o...

Reformulating the instantons in a complex plane for tunneling or transmitting states, we calculate the pair-production rate of charged fermions in a spatially localized electric field, illustrated by the Sauter electric field E0 sech (z/L), and in a temporally localized electric field such as E0 sech (t/T ). The integration of the quadratic part of WKB instanton actions over the frequency and t...

Staggered fermions are constructed for the transverse lattice regularization scheme. The weak perturbation theory of transverse lattice non-compact QED is developed in lightcone gauge, and we argue that for fixed lattice spacing this theory is ultraviolet finite, order by order in perturbation theory. However, by calculating the anomalous scaling dimension of the link fields, we find that the i...

We derive the Callan-Symanzik equation of the electroweak Standard Model in the QED-like on-shell parameterization. The various coefficient functions, the β-functions and anomalous dimensions, are determined in one-loop order in the most general linear gauge compatible with rigid symmetry. In this way the basic elements for a systematic investigation of higher-order leading logarithmic contribu...