Decoupling of Photon Propagator in Compact QED

In compact QED$_{2+1}$ quantum monopole fluctuations induce confinement by expelling electric flux in a dual Meissner effect. Guided by Landau-Ginzburg theory, one might guess that the inverse London penetration depth $\lambda^{-1}$---the only physical mass scale---equals the photon propagator mass pole $M_\gamma$. I show this is not true. Indeed, in the Villain approximation the monopole part of the partition function factorizes from the photon part, whose dynamical variables are Dirac strings. Since Dirac strings are gauge-variant structures, I conclude that $M_\gamma$ is physically irrelevant: it is not a blood relative of $\lambda$ or any other quantity in the gauge-invariant sector. This result is confirmed by numerical simulations in the full theory, where $M_\gamma$ is not sensitive to monopole prohibition but essentially vanishes if Dirac strings are prohibited.Comment: (Postscript file fixed; see file header.) 4 pages, DOE/ER/40617-135 and LSUHEP-10-9

Rural society & settlement: isolated monuments and farming communities in northern and western Scotland in the late Atlantic Iron Age

The thesis opens with a statement of the methodological approach of the research, explaining the use of a historical model to inform a field methodology of a combination of prospecting techniques. The model to be used is set out along with a consideration of the expectations of the field methodology and the hypothesis to be tested: that élite sites will have a concentrating effect upon settlement patterns and create "hierarchical" landscapes, in contrast to non-hierarchical landscapes which, in the absence of an élite site, will show no particular clustering. Following this is a statement of the problem of settlement studies in Scotland, with a consideration of previous and current approaches. This is followed by discussion of the available prospecting techniques and a detailed discussion of the chemistry of soil phosphates. The historical and archaeological framework of the period is then presented with a consideration of the evidence available from legal and historical sources and from excavations carried out on élite sites. Agriculture is then discussed, firstly in terms of its productivity and then of the techniques of agriculture to assess the effect of agriculture upon settlement distribution. Finally, the results of the fieldwork are presented, divided between hierarchical and non-hierarchical landscapes. The conclusion assesses the overall effectiveness of the methodology in terms of how well the hypothesis was proved and of the applicability of the methodology for amateurs and lone workers. The results indicate that the general model of social relations being reflected in settlement patterns is broadly correct, but that the effect will not necessarily be one of concentrating settlement around the élite site. At the micro-scale of analysis undertaken within the thesis, the important factor connected with élite sites was found to be the denoting of status by the possession of private space

Phase structure of QCD for general number of flavors

We investigate and elucidate the phase structure of QCD for general number of flavors $N_F$ with Wilson quarks, varying $N_F$ from 2 up to 300. Based on numerical results combined with the result of the perturbation theory we propose the following picture: When $N_F \ge 17$, there is only a trivial fixed point and therefore the theory in the continuum limit is trivial. On the other hand, when $16 \ge N_F \ge 7$, there is a non-trivial fixed point and therefore the theory is non-trivial with anomalous dimensions, however, without quark confinement. Theories which satisfy both quark confinement and spontaneous chiral symmetry breaking in the continuum limit exist only for $N_F \le 6$. We also discuss the structure of the deconfining phase at finite temperatures for the small number of flavors such as $N_F=2$ and 3, through a systematic study of it for general number of flavors.Comment: LaTeX, 7 pages, 10 PS figures, Talk presented at LATTICE96(poster) and LATTICE96(finite temperature

Ames Laboratory analytical procedures for determination of impurities in calcium metal

Analytical procedures for the determination of aluminum, chromium, iron, manganese, nickel, nitrogen and silicon in calcium metal are discussed

Quantum chromodynamics with various number of flavors

The phase structure of QCD with various number of flavors is studied for Wilson quarks. For the case of $N_F=3$ we find that the finite temperature deconfining transition is of first order in the chiral limit on an $N_t=4$ lattice. Together with our previous results that the deconfining transition in the chiral limit is continuous for $N_F=2$ and is first order for $N_F=6$, the order of the transition is found to be consistent with a prediction of universality. The case of $SU(2)$ QCD is also studied in the strong coupling limit and the phase structure is found to be quite similar to the case of $SU(3)$: There exists a critical number of flavors $N_F^*$ and for $N_F \geq N_F^*$ the confinement is broken even in the strong coupling limit for light quarks. $N_F^*=3$ corresponding to 7 for $SU(3)$.Comment: 3 pages with 5 PS figures, LaTeX (espcrc2.sty required), UTHEP-26

An Examination of Social Persuasion's Influence on Generalized Leader Efficacy

This dissertation examined social persuasion's influence on leader efficacy. Hannah, Avolio, Luthans, and Harms (2008) proposed that the levels of leadership self-efficacy held by a leader are critical in promoting heightened levels of leader adaptability, positivity, and performance. Consequently, Hannah et al. proposed a framework for leader and leadership efficacy. Included in the model was a dyadic behaviors linkage between leader efficacy and follower efficacy. The linkage reflects Bandura's (1997) conception of self-efficacy being subject to influence by four methods, one of which is social persuasion. Scholars have conducted little empirical work to validate Hannah et al.'s framework for influencing leader efficacy. However, this dissertation empirically tested Hannah et al.'s framework by crafting an experiment designed to isolate social persuasion's influence on Generalized Leader Efficacy (GLE). GLE is conceptualized as a dynamic self-concept based structure representing leaders' (and followers') level of efficacy for self-regulation, action and means across a span of leader tasks. Drawing on self efficacy, leader efficacy and mentorship literatures, a model and methodology were proposed to examine the effect of social persuasion on GLE

An Examination of Social Persuasion's Influence on Generalized Leader Efficacy

This dissertation examined social persuasion's influence on leader efficacy. Hannah, Avolio, Luthans, and Harms (2008) proposed that the levels of leadership self-efficacy held by a leader are critical in promoting heightened levels of leader adaptability, positivity, and performance. Consequently, Hannah et al. proposed a framework for leader and leadership efficacy. Included in the model was a dyadic behaviors linkage between leader efficacy and follower efficacy. The linkage reflects Bandura's (1997) conception of self-efficacy being subject to influence by four methods, one of which is social persuasion. Scholars have conducted little empirical work to validate Hannah et al.'s framework for influencing leader efficacy. However, this dissertation empirically tested Hannah et al.'s framework by crafting an experiment designed to isolate social persuasion's influence on Generalized Leader Efficacy (GLE). GLE is conceptualized as a dynamic self-concept based structure representing leaders' (and followers') level of efficacy for self-regulation, action and means across a span of leader tasks. Drawing on self efficacy, leader efficacy and mentorship literatures, a model and methodology were proposed to examine the effect of social persuasion on GLE

Properties of the Abelian Projection Fields in SU(N)SU(N) Lattice Gluodynamics

't~Hooft's abelian projection of $SU(N)$ gauge theory yields $N$ mutually constrained, compact abelian fields which are permutationally equivalent. We formulate the notion of ``species permutation'' symmetry of the $N$ abelian projection fields and discuss its consequences for cross-species correlators. We show that at large $N$ cross-species interactions are ${1\over N}$ suppressed relative to same-species interactions. Numerical simulations at $N=3$ support our symmetry arguments and reveal the existence of inter-species interactions of size {\cal O\/}\bigl({1\over N-1}\bigr) as analytically predicted.Comment: 13 pages, 1 postscript figure include