Superconducting Dome from Holography

We find a regime in which a strongly coupled striped superconductor features a superconducting dome. This regime is signified by i) a modulating chemical potential that averages to zero, and ii) a superconducting order parameter that has a scaling dimension larger than 3/2 but less than or equal to 3. We also find that in this regime, the order parameter exhibits a mild dependence on the modulation wavelength of the stripe.Comment: 5 pages, 4 figure

Enhancement of Critical Temperature of a Striped Holographic Superconductor

We study the interplay between the stripe order and the superconducting order in a strongly coupled striped superconductor using gauge/gravity duality. In particular, we study the effects of inhomogeneity introduced by the stripe order on the superconducting transition temperature beyond the mean field level by including the effects of backreaction onto the spacetime geometry in the dual gravitational picture. We find that inhomogeneity \emph{enhances} the critical temperature relative to its value for the uniform system.Comment: 8 pages, 7 figure

Two-loop quark self-energy in a new formalism; 1, overlapping divergences

A new integration technique for multi-loop Feynman integrals, called the \it matrix method\rm, is developed and then applied to the divergent part of the overlapping two-loop quark self-energy function \,i\Sigma\, in the light-cone gauge \ n\!\cdot\!A^a(x)=0,\ n^2=0. It is shown that the coefficient of the double-pole term is strictly local, even off mass-shell, while the coefficient of the single-pole term contains local as well as nonlocal parts. On mass-shell, the single-pole part is local, of course. It is worth noting that the original overlapping self-energy integral reduces eventually to 10 covariant and 38 noncovariant-gauge integrals. We were able to verify explicitly that the {\it divergent parts} of the 10 double covariant-gauge integrals agreed precisely with those currently used to calculate radiative corrections in the Standard Model. \par Our new technique is amazingly powerful, being applicable to massive and massless integrals alike, and capable of handling both covariant-gauge integrals and the more difficult noncovariant-gauge integrals. Perhaps the most important feature of the matrix method is the ability to execute the 4\omega-dimensional momentum integrations in a single operation, exactly and in analytic form. The method works equally well for other axial-type gauges, notably the temporal gauge (n^2>0) and the pure axial gauge (n^2<0)

Emaline

https://digitalcommons.library.umaine.edu/mmb-vp/1376/thumbnail.jp

Conductivity of strongly coupled striped superconductor

We study the conductivity of a strongly coupled striped superconductor using gauge/gravity duality (holography). The study is done analytically, in the large modulation regime. We show that at low temperatures, the optical conductivity is inhomogeneous and anisotropic, but with the anisotropy vanishing when the scaling dimension of the superconducting order parameter is unity. Near but below the critical temperature, we calculate the conductivity analytically at small frequency ωand find it to be both inhomogeneous and anisotropic. The anisotropy is imaginary and scales like 1/ω. We also calculate analytically the speed of the second sound and the thermodynamic susceptibility

Faculty Recital

This is the program for the faculty recital featuring the following artists in order of performance: organist Evelyn Bowden; baritone Jimmy Tompkins and pianist George Keck; violinist Helen Lyon and pianist William Bill Trantham; soprano Frances Scott and pianist Roberta Rauch; flutist Ralph Rauch and pianist Roberta Rauch; soprano Mary Shambarger and pianist Virginia Queen; and soprano Frances Scott, flautist Ralph Rauch, and pianist Roberta Rauch. This recital took place on November 2, 1972, in Mitchell Hall Auditorium

Conflict Detection and Resolution for Future Air Transportation Management

With a Free Flight policy, the emphasis for air traffic control is shifting from active control to passive air traffic management with a policy of intervention by exception. Aircraft will be allowed to fly user preferred routes, as long as safety Alert Zones are not violated. If there is a potential conflict, two (or more) aircraft must be able to arrive at a solution for conflict resolution without controller intervention. Thus, decision aid tools are needed in Free Flight to detect and resolve conflicts, and several problems must be solved to develop such tools. In this report, we analyze and solve problems of proximity management, conflict detection, and conflict resolution under a Free Flight policy. For proximity management, we establish a system based on Delaunay Triangulations of aircraft at constant flight levels. Such a system provides a means for analyzing the neighbor relationships between aircraft and the nearby free space around air traffic which can be utilized later in conflict resolution. For conflict detection, we perform both 2-dimensional and 3-dimensional analyses based on the penetration of the Protected Airspace Zone. Both deterministic and non-deterministic analyses are performed. We investigate several types of conflict warnings including tactical warnings prior to penetrating the Protected Airspace Zone, methods based on the reachability overlap of both aircraft, and conflict probability maps to establish strategic Alert Zones around aircraft