Modified 2D Proca Theory: Revisited Under BRST and (Anti-)Chiral Superfield Formalisms

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) approach, we discuss mainly the fermionic (i.e. off-shell nilpotent) (anti-)BRST, (anti-)co-BRST and some discrete dual-symmetries of the appropriate Lagrangian densities for a two (1+1)-dimensional (2D) modified Proca (i.e. a massive Abelian 1-form) theory without any interaction with matter fields. One of the novel observations of our present investigation is the existence of some kinds of restrictions in the case of our present St\"{u}ckelberg-modified version of the 2D Proca theory which is not like the standard Curci-Ferrari (CF)-condition of a non-Abelian 1-form gauge theory. Some kinds of similarities and a few differences between them have been pointed out in our present investigation. To establish the sanctity of the above off-shell nilpotent (anti-)BRST and (anti-)co-BRST symmetries, we derive them by using our newly proposed (anti-)chiral superfield formalism where a few specific and appropriate sets of invariant quantities play a decisive role. We express the (anti-)BRST and (anti-)co-BRST conserved charges in terms of the superfields that are obtained after the applications of (anti-)BRST and (anti-)co-BRST invariant restrictions and prove their off-shell nilpotency and absolute anticommutativity properties, too. Finally, we make some comments on (i) the novelty of our restrictions/obstructions, and (ii) the physics behind the negative kinetic term associated with the pseudo-scalar field of our present theory.Comment: LaTeX file, 58 pages, Journal reference give

Stratigraphic columns and correlations for the Late Eocene - Oligocene Te Kuiti Group, central-western North Island, New Zealand

This report presents a compilation of stratigraphic columns for geological sections and outcrops of Late Eocene – Oligocene Te Kuiti Group units in central-western parts of North Island, New Zealand, between Port Waikato and Awakino. The columns have been prepared as part of a basin analysis investigation undertaken by the Sedimentary and Petroleum Geology Research Group in the Department of Earth and Ocean Sciences at the University of Waikato, and have been compiled into a common format from recent MSc and PhD theses to make the information more readily available, principally to assist hydrocarbon exploration activities in the region. The columns represent a level of detail underpinning a rationalized lithostratigraphy of the Te Kuiti Group presented in a companion report (Tripathi et al. 2008). This report contains two enclosures, one show in the location of columns in relation to the distribution of the two subgroups (Okoko Subgroup, Castle Craig Subgroup) of the Te Kuiti Group, and the other shows a series of north-south and west-east column correlation panels

Te Kuiti Group (Late Eocene - Oligocene) lithostratigraphy east of Taranaki Basin in central-western North Island, New Zealand

This report presents a lithostratigraphy for the Late Eocene - Oligocene Te Kuiti Group that crops out in central-western North Island, New Zealand, between Port Waikato in the north and Awakino in the south. The Te Kuiti Group is a mixed carbonate-siliciclastic succession and includes extensive limestone development in its upper parts. The group is up to several hundred metres thick, and accumulated unconformably above indurated Triassic and Jurassic sedimentary basement. The Te Kuiti Group accumulated east of Taranaki Fault and contains a record of sequence and unconformity development that helps constrain the tectonic development of eastern Taranaki Basin. In particular, it records the timing of the mid-Oligocene transition from extension to crustal shortening. Most of the report is however concerned with rationalisation of the group’s lithostratigraphy to enable the geological signals within it to be inferred

Hybrid Optoelectronic Correlator Architecture for Shift Invariant Target Recognition

In this paper, we present theoretical details and the underlying architecture of a hybrid optoelectronic correlator that correlates images using Spatial Light Modulators (SLM), detector arrays and Field Programmable Gate Array (FPGA). The proposed architecture bypasses the need for nonlinear materials such as photorefractive polymer films by using detectors instead, and the phase information is yet conserved by the interference of plane waves with the images. However, the output of such a Hybrid Opto-electronic Correlator (HOC) has four terms: two convolution signals and two cross-correlation signals. By implementing a phase stabilization and scanning circuit, the convolution terms can be eliminated, so that the behavior of an HOC becomes essentially identical to that of a conventional holographic correlator (CHC). To achieve the ultimate speed of such a correlator, we also propose an opto-electronic chip which would perform all the electrical processes in a parallel manner. The HOC architecture along with the phase stabilization technique would thus be as good as a CHC, capable of high speed image recognition in a translation invariant manner

Non-Fermi-liquid behavior at anti-ferromagnetic quantum critical point in heavy fermion system Ce(Cu1−x_{1-x}Cox_x)2_2Ge2_2

Polycrystalline samples of Ce(Cu$_{1-x}$Co$_x$)$_2$Ge$_2$ were investigated by means of electrical resistivity $\rho$($T$), magnetic susceptibility $\chi$($T$), specific heat $C$$_p$($T$) and thermo electric power $S$($T$) measurements. The long-range antiferromagnetic (AFM) order, which set in at $T$$_N$ = 4.1 K in CeCu$_2$Ge$_2$, is suppressed by non-iso-electronic cobalt (Co) doping at a critical value of the concentration $x$$_c$ = 0.6, accompanied by non-Fermi liquid (NFL) behavior inferred from the power law dependence of heat capacity and susceptibility i.e. $C$($T$)/$T$ and $\chi$($T$) $\propto$ $T$$^{-1+\lambda}$ down to 0.4 K, along with a clear deviation from $T$$^2$ behavior of the electrical resistivity. However, we have not seen any superconducting phase in the quantum critical regime down to 0.4 K.Comment: 8 pages, 11 figure