Shame, Grace, and Spirituality: A Comparison of Measures

Shame is a widely studied aspect of human experience; grace, perhaps its counterpart, has so far largely been overlooked. The relationships among shame, grace, and spiritual well-being were explored. A sample of 115 college-aged participants completed the Internalized Shame (Cook, 1987), Grace (Payton, Spradlin, & Bufford, 2000) and Spiritual Well-Being (Ellison, 1983) scales. It was hypothesized that shame would be negatively correlated with grace and spiritual well-being, and that spiritual well-being and grace would be moderately positively correlated. The Grace Scale had adequate internal consistency and expected correlations with demographic items. There was no effect for gender on the Grace Scale. As expected, grace and shame were moderately negatively correlated, which shows that they are related constructs, but not opposite ends on a continuum in this sample. In addition, shame and spiritual well-being were negatively correlated. Grace and spiritual well-being were moderately related. A regression analysis showed that the Shame Scale accounted for 28% of the variance in the Grace Scale; Religious Well-Being added an additional 3%, for a total of 31 %; inclusion of demographic questions in the regression did not alter the results. These findings suggest that the Grace Scale holds promise for adding an additional dimension to our understanding of human spirituality that is related to but distinct from shame. Further validation studies on the Grace Scale seem appropriate as well as analyzing the relationships among shame, grace and spiritual well-being. It was proposed that future research include more extensive work on verifying the generalizabiltiy of the Grace Scale and the current findings

Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry

We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the mass parameter mu. The derivation involves constructing the inverse of a certain infinite-dimensional matrix, in terms of which the Neumann coefficients previously had been written only implicitly. We derive asymptotic expansions for large mu and find unexpectedly simple results, which are valid to all orders in 1/mu. Using BMN duality, these give predictions for certain gauge theory quantities to all orders in the modified 't Hooft coupling lambda'. A specific example is presented.Comment: 28 pages, 2 figures, v2: reference added, new comments and appendix, typos fixed in eqs. (86) and (89

Changes in the Fish Community of Triplett Creek Following Restoration of a Channelized Reach

https://scholarworks.moreheadstate.edu/student_scholarship_posters/1256/thumbnail.jp

A Representation of Symmetry Generators for the Type IIB Superstring on a Plane Wave in the U(4) Formalism

We calculate the symmetry currents for the type IIB superstring on a maximally supersymmetric plane wave background using the N=(2,2) superconformally covariant U(4) formulation developed by Berkovits, Maldacena and Maoz. An explicit realization of the U(4) generators together with 16 fermionic generators is obtained in terms of the N=(2,2) worldsheet fields. Because the action is no longer quadratic, we use a light-cone version to display the currents in terms of the covariant worldsheet variables.Comment: 9 pages, harvmac, Corrected some typographical errors, Added reference

Comments on Superstring Interactions in a Plane-Wave Background

The three string vertex for Type IIB superstrings in a maximally supersymmetric plane-wave background is investigated. Specifically, we derive a factorization theorem for the Neumann coefficients that generalizes a flat-space result that was obtained some 20 years ago. The resulting formula is used to explore the leading large mu asymptotic behavior, which is relevant for comparison with dual gauge theory results.Comment: 11 pages; v2: error in sect. 5 correcte

Graviton-Scalar Interaction in the PP-Wave Background

We compute the graviton two scalar off-shell interaction vertex at tree level in Type IIB superstring theory on the pp-wave background using the light-cone string field theory formalism. We then show that the tree level vertex vanishes when all particles are on-shell and conservation of p_{+} and p_{-} are imposed. We reinforce our claim by calculating the same vertex starting from the corresponding SUGRA action expanded around the pp-wave background in the light-cone gauge.Comment: 26 pages, harvmac One reference added. A few comments changed in the introduction. The "cyclic perms." term removed from some equations as unnecessary and equations (2.38) and (3.19) are corrected accordingl

A Matrix Model for AdS2

A matrix quantum mechanics with potential $V={q^2 \over r^2}$ and an SL(2,R) conformal symmetry is conjectured to be dual to two-dimensional type 0A string theory on AdS$_2$ with $q$ units of RR flux.Comment: 12 page

Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model

We study the effect of dense quarks in a SU(N) matrix model of deconfinement. For three or more colors, the quark contribution to the loop potential is complex. After adding the charge conjugate loop, the measure of the matrix integral is real, but not positive definite. In a matrix model, quarks act like a background Z(N) field; at nonzero density, the background field also has an imaginary part, proportional to the imaginary part of the loop. Consequently, while the expectation values of the loop and its complex conjugate are both real, they are not equal. These results suggest a possible approach to the fermion sign problem in lattice QCD.Comment: 9 pages, 3 figure

Strong Evidence In Favor OF The Existence Of S-Matrix For Strings In Plane Waves

Field theories on the plane wave background are considered. We discuss that for such field theories one can only form 1+1 dimensional freely propagating wave packets. We analyze tree level four point functions of scalar field theory as well as scalars coupled to gauge fields in detail and show that these four point functions are well-behaved so that they can be interpreted as S-matrix elements for 2 particle $\to$ 2 particle scattering amplitudes. Therefore, at least classically, field theories on the plane wave background have S-matrix formulation.Comment: Latex file, 26 pages, 4 eps figures. v3: In the end of paper there is a "Note Added" as an update of the result