X iv : m at h - ph / 0 50 10 73 v 1 3 1 Ja n 20 05 Energy Inequalities in Quantum Field Theory ∗

ar X iv : h ep - l at / 0 50 10 26 v 2 3 1 Ja n 20 05 NSF - KITP - 05 - 04 BCCUNY - HEP / 05 - 01 LATTICE ( QCD )

We consider a 2 + 1-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U 1 set equal to one. The term in the Hamiltonian containing the square of the electric field in 1-direction is non-local. Despite this non-locality, we show that weak-coupling perturbation theory in this term gives a finite vacuum-energy density to second order, and suggest that this property holds...

ar X iv : m at h - ph / 0 50 10 33 v 1 1 2 Ja n 20 05 Indefinite metric

ar X iv : h ep - l at / 0 50 10 26 v 1 2 6 Ja n 20 05 NSF - KITP - 05 - 04 BCCUNY - HEP / 05 - 01 LATTICE ( QCD )

We consider a 2 + 1-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U 1 set equal to one. The term in the Hamiltonian containing the square of the electric field in 1-direction is non-local. Despite this non-locality, we show that weak-coupling perturbation theory in this term gives a finite vacuum-energy density to second order, and suggest that this property holds...

ar X iv : h ep - l at / 0 50 60 32 v 1 3 0 Ju n 20 05 1 True or Fictitious Flattening ? – MEM and the θ Term –

We study the sign problem in lattice field theory with a θ term. We apply the maximum entropy method (MEM) to flattening phenomenon of the free energy density f(θ), which originates from the sign problem. In our previous paper, we applied the MEM by employing the Gaussian topological charge distribution P (Q) as mock data. In the present paper, we consider models in which ‘true’ flattening of f...

ar X iv : h ep - p h / 05 01 22 0 v 1 2 4 Ja n 20 05 1 Some Recent Advances in Bound – State Quantum Electrodynamics

We discuss recent progress in various problems related to bound-state quantum electrodynamics: the bound-electron g factor, two-loop self-energy corrections and the laser-dressed Lamb shift. The progress relies on various advances in the bound-state formalism, including ideas inspired by effective field theories such as Nonrelativistic Quantum Electrodynamics. Radiative corrections in dynamical...