Two Nucleons on a Lattice

The two-nucleon sector is near an infrared fixed point of QCD and as a result the S-wave scattering lengths are unnaturally large compared to the effective ranges and shape parameters. It is usually assumed that a lattice QCD simulation of the two-nucleon sector will require a lattice that is much larger than the scattering lengths in order to extract quantitative information. In this paper we point out that this does not have to be the case: lattice QCD simulations on much smaller lattices will produce rigorous results for nuclear physics.Comment: 13 pages, 6 figure

High Energy Theorems at Large-N

Sum rules for products of two, three and four QCD currents are derived using chiral symmetry at infinite momentum in the large-N limit. These exact relations among meson decay constants, axialvector couplings and masses determine the asymptotic behavior of an infinite number of QCD correlators. The familiar spectral function sum rules for products of two QCD currents are among the relations derived. With this precise knowledge of asymptotic behavior, an infinite number of large-N QCD correlators can be constructed using dispersion relations. A detailed derivation is given of the exact large-N pion vector form factor and forward pion-pion scattering amplitudes.Comment: 34 pages TeX and mtexsis.tex, 10 figures (uses epsf

Applicant Reactions to Organizations that Allow Religious Expression: The Role of Interviewer and Organizational Characteristics

In the 21st century we desire to express who we are across all domains – including the workplace. This is due, in part, to the fact that we spend more time at work than we ever have. Part of this awakening has included expressing our religion. However, while people desire to express their religion they simultaneously do not want to be impinged upon by other’s religious expression - as numerous legal cases demonstrate (Malone, Hartman, & Payne, 1998). This contrast is the basis for an ever-burgeoning conflict in the workplace for which HR managers have no legal or philosophical framework to guide them. Research on this subject has been scant with even the tenets of workplace religious expression remaining unquantified. This dissertation has taken steps to quantify workplace religious expression and delineate some of its boundaries, providing HR leaders with at least a light to show the path to navigating this conundrum. This dissertation consists of three studies which examine how potential applicants view an organization when its representatives (i.e., job interviewer) express their religion. Dependent variable in these studies was organizational attractiveness. Independent variables include interviewer’s race (Indian vs Caucasian) and type of religious display exhibited by interviewer (Christian vs. Hindu vs. no religion). I explore three additional boundary conditions that could affect applicant reactions to religious displays including organization type (Study 1) – secular organization vs. an organization that operates in accordance with its leader’s spiritual beliefs, interviewer’s position (Study 2) – HR manager vs. department manager vs. store manager, and amount of expected coworker interaction (Study 3) – very little vs. high. Results show participants view organizations less positively when an interviewer exhibits Christian displays. While organization type did not impact this outcome, participants did react more negatively to Christian displays with high coworker interaction or if the interviewer was a department manager. However, these effects only held true with a white interviewer. These results suggest interviewer’s race and anticipated amount of coworker/leader interaction have a combined effect on how applicants view an organization whose representatives display their religion. Implications for research and future directions are discussed

Curriculum Integration and The Disciplines of Knowledge

At a conference on curriculum integration, a speaker who admitted that he had only recently been introduced to the concept said, From a quick look at various readings, it seems that the disciplines of knowledge are the enemy of curriculum integration. Unwittingly or not, he had gone straight to the heart of perhaps the most contentious issue in current conversations about curriculum integration. Simply put, the issue is this: If we move away from the subject-centered approach to curriculum organization, will the disciplines of knowledge be abandoned or lost in the shuffle

Inverse limits of permutation maps

In this paper we study the topological properties of continua which arise as inverse limits on [0; 1] with bonding maps chosen from the permutation family of Markov maps. For such inverse limits, we examine the occurrence of indecomposability, the number of end points in the continuum, and the types of subcontinua present in the continuum. We provide a process for determining the topological structure of the inverse limit generated by a single permutation map, or by the composition of several such maps. Additionally, we show that all such inverse limits are Kelley continua. We will apply these results to study inverse limits on [0,1] with a single bonding map chosen from the one parameter family of logistic mappings. It is known that there is an open and dense subset of the parameter space for which the associated logistic maps have attracting periodic orbits. We show that any continuum generated by such a logistic map is homeomorphic to the inverse limit on [0,1] with some permutation bonding map. We close by providing a sufficient condition for the inverse limit on an interval with a single bonding map to fail to be a Kelley continuum, and applying this information to the logistic family --Abstract, page iii

A Tale of Self-Monitoring, Social Capital, and Social Media

We examined whether individual self-monitoring differences predict what type of relationships people have on Facebook. In the offline world, high self-monitors have large heterogeneous social networks made up of weak emotional ties, whereas low self-monitors have small homogenous social networks made up of strong emotional ties. In our study, we defined online relationships in terms of bridging and bonding social capital. Bridging social capital refers to large heterogeneous social networks made up of weak emotional ties. People maintain these relationships for social benefits. Bonding social capital refers to small homogeneous social networks made up of strong emotional ties. People maintain these relationships for emotional benefits. We predicted high self-monitors will have more bridging than bonding social capital on Facebook; low self-monitors will have more bonding than bridging social capital on Facebook. We believed attitudes about using Facebook would moderate these relationships. We used Snyder‟s Self-Monitoring Scale, Williams‟ Online Social Capital Scales, and Facebook Intensity Scale to assess our variables of interest. We found support for our hypotheses. For high self-monitors, greater importance placed on Facebook usage predicted increases in bridging social capital on Facebook; for low self-monitors, greater importance placed on Facebook usage predicted increases in bonding social capital on Facebook. Keywords: self-monitoring, social capital, social media, Faceboo

Parity Doubling Among the Baryons

We study the evidence for and possible origins of parity doubling among the baryons. First we explore the experimental evidence, finding a significant signal for parity doubling in the non-strange baryons, but little evidence among strange baryons. Next we discuss potential explanations for this phenomenon. Possibilities include suppression of the violation of the flavor singlet axial symmetry ($U(1)_{A}$) of QCD, which is broken by the triangle anomaly and by quark masses. A conventional Wigner-Weyl realization of the $SU(2)_{L}\times SU(2)_{R}$ chiral symmetry would also result in parity doubling. However this requires the suppression of families of \emph{chirally invariant} operators by some other dynamical mechanism. In this scenario the parity doubled states should decouple from pions. We discuss other explanations including connections to chiral invariant short distance physics motivated by large $N_{c}$ arguments as suggested by Shifman and others, and intrinsic deformation of relatively rigid highly excited hadrons, leading to parity doubling on the leading Regge trajectory. Finally we review the spectroscopic consequences of chiral symmetry using a formalism introduced by Weinberg, and use it to describe two baryons of opposite parity.Comment: 32 pages, 8 figures; v2 revised and expanded; submitted to Phys. Re

Power Counting and Perturbative One Pion Exchange in Heavy Meson Molecules

We discuss the possible power counting schemes that can be applied in the effective field theory description of heavy meson molecules, such as the X(3872) or the recently discovered Zb(10610) and Zb(10650) states. We argue that the effect of coupled channels is suppressed by at least two orders in the effective field theory expansion, meaning that they can be safely ignored at lowest order. The role of the one pion exchange potential between the heavy mesons, and in particular the tensor force, is also analyzed. By using techniques developed in atomic physics for handling power-law singular potentials, which have been also successfully employed in nuclear physics, we determine the range of center-of-mass momenta for which the tensor piece of the one pion exchange potential is perturbative. In this momentum range, the one pion exchange potential can be considered a subleading order correction, leaving at lowest order a very simple effective field theory consisting only on contact-range interactions.Comment: 21 pages, 1 figur

The Heavy Quark Spin Symmetry Partners of the X(3872)

We explore the consequences of heavy quark spin symmetry for the charmed meson-antimeson system in a contact-range (or pionless) effective field theory. As a trivial consequence, we theorize the existence of a heavy quark spin symmetry partner of the X(3872), with $J^{PC}=2^{++}$, which we call X(4012) in reference to its predicted mass. If we additionally assume that the X(3915) is a $0^{++}$ heavy spin symmetry partner of the X(3872), we end up predicting a total of six $D^{(*)}\bar{D}^{(*)}$ molecular states. We also discuss the error induced by higher order effects such as finite heavy quark mass corrections, pion exchanges and coupled channels, allowing us to estimate the expected theoretical uncertainties in the position of these new states.Comment: 18 pages; final version accepted for publicatio