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Renormalization And Radiative-Corrections At Finite Temperature, Jf Donoghue, Br Holstein
Renormalization And Radiative-Corrections At Finite Temperature, Jf Donoghue, Br Holstein
Barry R Holstein
We discuss the renormalization prescription for fermions at finite temperature and describe the procedure for calculating radiative corrections. Novel features arise, such as a lack of explicit Lorentz invariance, 1k2 singularities, and the absorption of soft photons from the background heat bath. The methods are illustrated by explicit calculation of the electron renormalization and the radiative corrections to H-->e+e- (with H being spin zero) in finite-temperature QED.
Dislocations And The Nematic To Smectic-A Transition For Arbitrary Values Of K1, Anthony Day, T. Lubensky, A. Mckane
Dislocations And The Nematic To Smectic-A Transition For Arbitrary Values Of K1, Anthony Day, T. Lubensky, A. Mckane
Anthony Roy Day
The de Gennes model is used to derive the energy of interacting dislocations in smectic-A liquid crystals. This energy reduces to the energy of interacting vortices in type-II superconductors when the splay elastic constant K1 is zero and to that derived from the Landau-Peierls elastic energy when spatial variations are slow on a scale of the bend and twist penetration depths. Furthermore, it has a well-defined K1→∞ limit. The dislocation energy is used to study the nematic—to—smectic-A transition as a function of K1 in two dimensions and in 4-ε dimensions. No evidence for the Nelson-Toner, anisotropic critical point is found …
Bound-States, Virtual States, And Non-Exponential Decay Via Path-Integrals, Br Holstein
Bound-States, Virtual States, And Non-Exponential Decay Via Path-Integrals, Br Holstein
Barry R Holstein
Using path integral techniques we demonstrate how three quantum-mechanical phenomena-alpha decay, nonexponential decay, and resonant scattering-can be treated. This procedure is an algebraic one yet reproduces the usual results obtained via solution of the Schrödinger equation via WKB methods.