The topological term in the effective action for the electrically neutral BCS system is discussed. It is applied for the calculation of the transverse force acting on the vortex in the limit of the smooth vor-tex core and vanishing interlevel distance in the vortex core. The controversy between the topological terms in cond-mat/9703124 and cond-mat/9411047 is resolved.

Three-loop electroweak corrections to the ρ-parameter, sin 2 θ lept eff and the W-boson mass in the large Higgs mass limit 1 A review of the calculation of the leading three-loop electroweak corrections to the ρ-parameter, sin 2 θ lept eff and the W-boson mass is presented. The heavy Higgs mass expansion and the renormalization are discussed.

We clarify the path integral calculation, recently suggested by Golubev and Zaikin [1,2], and show, contrary to their claim, that quasiparticles become fully coherent quantum particles in the T → 0 limit. The important physical point is the inclusion of the recoil of the quasiparticle when interacting with fluctuations in the rest of the Fermi gas. Typeset using REVTEX 1

We calculate the O(ε)–term of the two–loop massive operator matrix elements for twist 2–operators, which contribute to the heavy flavour Wilson coefficients in unpolarized deep–inelastic scattering in the asymptotic limit Q ≫ m. Our calculation was performed in Mellin space using Mellin– Barnes integrals and generalized hypergeometric functions. The O(ε)–term contributes in the renormalization ...

The interest in short bunches in many accelerator applications requires good understanding of the high frequency behavior of the interaction between the beam and its environment. In this paper we report an analytic calculation for the high frequency limit of the transverse impedance for both a single and periodic array of cavities in a beam pipe.

We study the chiral phase transition with staggered fermions on the lattice at finite temperature in the strong coupling limit. The thermodynamic potential is derived in the large d approximation where d + 1 is the dimension of space time. Our calculation is simpler than the conventional method and leads to a simple physical interpretation for the approximation scheme.

A general expression for the π − N and π − ∆ scattering lengths is derived in the framework of a microscopic calculation. Annihilation, negative energy wavefunctions and spontaneous chiral symmetry are included consistently. The point-like limit is used to calculate the scattering lengths.

In this article we study Hopf bifurcations and small amplitude limit cycles in a family of quadratic systems in the three dimensional space called Rucklidge systems. Bifurcation analysis at the equilibria of Rucklidge system is pushed forward toward the calculation of the second Lyapunov coefficient, which makes possible the determination of the Lyapunov and higher order structural stability.

This paper is devoted to the calculation of the Reggeized quark – Reggeized quark – gluon effective vertex in perturbative QCD in the next–to–leading order. The case of QCD with massless quarks is considered and the correction is obtained in theD → 4 limit. This vertex appears in the quark Reggeization theory, which next–to–leading order extension is now under construction.

A multi-dimensional definition of fragility is developed considering multiple variables such as floor acceleration and interstory drifts. The limit states which have uncertainties are defined as random variables in the calculation of fragility. A random description of the limit state has been adopted to calculate fragility and different cases have been considered. A case study of a Hospital loc...