We construct a holographic map from the loop equation of large-N QCD in d = 2 and d = 4, for planar self-avoiding loops, to the critical equation of an equivalent effective action. The holographic map is based on two ingredients: an already proposed holographic form of the loop equation, such that the quantum contribution is reduced to the evaluation of a regularized residue; a new conformal ma...

Four transfer RNA crystals, the monoclinic and orthorhombic forms of yeast tRNA(Phe) as well as forms A and B of yeast tRNA(Asp), have been submitted to the same restrained least-squares refinement program and refined to an R factor well below 20% for about 4500 reflections between 10 and 3 A. In yeast tRNA(Asp) crystals the molecules exist as dimers with base pairings of the anticodon (AC) tri...

We use free boson techniques to investigate AD -E-quiver matrix models. Certain higher spin fields in the free boson formulation give rise to higher order loop equations valid at finite N. These fields form a special kind of W-algebra, called Casimir algebra. We compute explicitly the loop equations for A r and D r quiver models and check that at large N they are related to a deformation of the...

Evaluating two-loop integrals in the transverse momentum space we obtain the trajectory of the Reggeized gluon in QCD in an explicit form in the two-loop approximation. It is presented as an expansion in powers of (D − 4) for the space-time dimension D tending to the physical value D = 4. As the result of a remarkable cancellation the third order pole in D − 4 disappears in the trajectory and t...

The finite-frequency dynamics of the He superfluid phase transition can be formulated in terms of the response of thermally excited vortex loops to an oscillating flow field. The key parameter is the Hausdorff fractal dimension dH of the loops, which affects the dynamics because the frictional force on a loop is proportional to the total perimeter P of the loop, which varies as P ∼ aH where a i...

A local estimation of pulse wave speed c, an important predictor of cardiovascular events, can be obtained at arterial locations where simultaneous measurements of blood pressure (P) and velocity (U), arterial diameter (D) and U, flow rate (Q) and cross-sectional area (A), or P and D are available, using the PU-loop, sum-of-squares (∑(2)), lnDU-loop, QA-loop or new D(2)P-loop methods. Here, the...