Thermofield-Bosonization on Compact Space

We develop the construction of fermionic fields in terms of bosonic ones to describe free and interaction models in the circle, using thermofielddynamics. The description in the case of finite temperature is developed for both normal modes and zero modes. The treatment extends the thermofield-bosonization for periodic space

Simulation of Chua's Circuit by Means of Interval Analysis

The Chua's circuit is a paradigm for nonlinear scientific studies. It is usually simulated by means of numerical methods under IEEE 754-2008 standard. Although the error propagation problem is well known, little attention has been given to the relationship between this error and inequalities presented in Chua's circuit model. Taking the average of round mode towards $+\infty$ and $-\infty$, we showed a qualitative change on the dynamics of Chua's circuit.Comment: 6th International Conference on Nonlinear Science and Complexity - S\~ao Jos\'e dos Campos, 2016, p. 1-

Canonical Transformations in a Higher-Derivative Field Theory

It has been suggested that the chiral symmetry can be implemented only in classical Lagrangians containing higher covariant derivatives of odd order. Contrary to this belief, it is shown that one can construct an exactly soluble two-dimensional higher-derivative fermionic quantum field theory containing only derivatives of even order whose classical Lagrangian exhibits chiral-gauge invariance. The original field solution is expressed in terms of usual Dirac spinors through a canonical transformation, whose generating function allows the determination of the new Hamiltonian. It is emphasized that the original and transformed Hamiltonians are different because the mapping from the old to the new canonical variables depends explicitly on time. The violation of cluster decomposition is discussed and the general Wightman functions satisfying the positive-definiteness condition are obtained.Comment: 12 pages, LaTe

The Identity of a Plantation Structure: The Preliminary Analysis of an Early Structure at Mont Repose Plantation, St. Luke\u27s Parish, Jasper County, South Carolina

During the 2000 Archeology Field School, Georgia Southern University began an investigation of a nineteenth century plantation structure near Ridgeland, South Carolina. The plantation, Mont Repose, is an example of an inland rice plantation operated in this region during the eighteenth and nineteenth centuries. The structure was initially believed to be a kitchen for this plantation but more recent fieldwork has suggested that this designation may need to be re-examined. Recent excavations have yielded specific artifacts suggesting that the structure may have sheltered a variety of daily functions in addition to specific kitchen activities. Preliminary Mean Ceramic Dating suggests a possible association with an earlier occupation of the site. A 1739 coin, sewing items, various personal possessions and a gold gilded broche were found along with other higher status artifacts. The demise of the structure and the impact that had on the stratigraphy will also be examined. This thesis will present the preliminary archival research, fieldwork, a preliminary analysis of a sample from the artifact assemblage and suggestions for future research