59,371 research outputs found
The complex sine-Gordon model on a half line
No full textIn this thesis, we study the complex sine-Gordon model on a half line. The model in the bulk is an integrable (l+1) dimensional field theory which is U(1) gauge invariant and comprises a generalisation of the sine-Gordon theory. It accepts soliton and breather solutions. By introducing suitably selected boundary conditions we may consider the model on a half line. Through such conditions the model can be shown to remain integrable and various aspects of the boundary theory can be examined. The first chapter serves as a brief introduction to some basic concepts of integrability and soliton solutions. As an example of an integrable system with soliton solutions, the sine-Gordon model is presented both in the bulk and on a half line. These results will serve as a useful guide for the model at hand. The introduction finishes with a brief overview of the two methods that will be used on the fourth chapter in order to obtain the quantum spectrum of the boundary complex sine-Gordon model. In the second chapter the model is properly introduced along with a brief literature review. Different realisations of the model and their connexions are discussed. The vacuum of the theory is investigated. Soliton solutions are given and a discussion on the existence of breathers follows. Finally the collapse of breather solutions to single solitons is demonstrated and the chapter concludes with a different approach to the breather problem. In the third chapter, we construct the lowest conserved currents and through them we find suitable boundary conditions that allow for their conservation in the presence of a boundary. The boundary term is added to the Lagrangian and the vacuum is reexamined in the half line case. The reflection process of solitons from the boundary is studied and the time-delay is calculated. Finally we address the existence of boundary-bound states. In the fourth chapter we study the quantum complex sine-Gordon model. We begin with a brief overview of the theory in the bulk where the semi-classical spectrum and an exact S'-matrix are presented. Following that we use the stationary phase method to derive the semi-classical spectrum of boundary bound states. The bootstrap method is used as an alternative approach to obtain the same spectrum. The results are discussed and compared. The final chapter consists of a general discussion on open questions and problems of the model, and some proposals for further research
Caroline Gordon Collection
No full textArrangement Description
EXTENT
Linear Feet: 2 linear feet
Number of Containers: 2 boxes
Series 1: Writings, 31 files
Series 2: Lectures, 19 files
Series 3: Courses, 10 files
Series 4: Book Reviews, 5 files
Series 5: About Caroline Gordon,8 files
Series 6: Correspondence, 18 files
Series 7: Books, 5 books
Series 8: Media: 9 digital files, 9 cassettes, 2 reelsCOLLECTION DETAILS
<---Please open FindingAid .pdf under "FILES" to see full collection details To request any materials from this collection please email: [email protected]
BIOGRAPHICAL / Historical Note: Twentieth-century novelist Caroline Gordon was born into the Kentucky line of the extensive Meriwether family in 1895. Exploration of the family's past and its evolution is a major theme of her fiction. She grew up at Merry Mont in Todd County, near Clarksville where she received her early education. She earned a Bachelor of Arts degree from Bethany College in 1916. Her father is the idealized subject of Gordon's second novel, Alec Maury, Sportsman (1934), and the central character in her much-anthologized story, "Old Red." Gordon taught briefly; then, as a journalist, she became one of the first reviewers to comment favorably on a new Nashville-based magazine of poetry, The Fugitive. During the summer of 1924, Robert Penn Warren, a Todd County neighbor, introduced her to Allen Tate. Within a year they were married and living in New York City, where their daughter, Nancy Meriwether was born. With Tate, she began a period of life abroad, devoted to writing and sustained by various fellowships granted to one or the other. In London, Gordon was secretary to the influential British writer Ford Madox. In 1930 the Tates returned to the United States and settled in Clarksville in a house provided by Tate's brother Ben and called "Benfolly." Both Tates were exceptionally hospitable to friends and encouraging to younger writers. Both were prolific correspondents, generous with constructive criticism. (Gordon eventually became mentor to several writers, most notably Flannery O'Connor). Although she had to wrest time for her writing from domestic and social obligations, the eight Benfolly years were especially productive for Gordon, who published four novels and several stories before 1937. The first novel was Penhally (1931), followed by Alec Maury, Sportsman (1934), None Shall Look Back (1937), and The Garden of Adonis (1937), studies of the southern family during the Civil War and Great Depression. Academic appointments of the 1940s took the Tates throughout the Southeast and to Princeton, where they established a home near their daughter, who married psychiatrist Percy Wood in 1944. During this time Gordon published her fifth novel, Green Centuries (1941). Her second related group of novels, The Woman on the Porch (1944), which deals with a troubled marriage, The Strange Children (1951), based on life at Benfolly, and The Malefactors (1956), is informed by her conversion to Roman Catholicism. She and her husband wrote The House of Fiction (1950), which was followed by Gordon's How to Read a Novel in 1957. Gordon lived in Princeton until 1973, teaching, and writing: The Glory of Hera (1972). An appointment in the creative writing program drew her to the University of Dallas (Gordon was 77 years old when she proposed the new creative writing program at UD). When her health began to fail in 1978, she moved to San Cristobal de las Casas in Chapas, Mexico, with her daughter and family. She died there on April 11, 1981.
COLLECTION DESCRIPTION Caroline Gordon (1895-1981) was an American author. This collection consists of manuscripts of Gordon's work, including novels, lectures, and poetry during her time at the University of Dallas. It also includes correspondence with authors and family members, writings of others, and photographs.
Lectures and Commentary available here: https://hdl.handle.net/20.500.14026/2548University of Dalla
Affine toda field theories on a half-line
No full textThis thesis is primarily concerned with the reflection factors of affine Toda field theories on the half-line x ≤ 0. First, we consider the classical background configurations of low rank a,(^(1)) affine Toda theories with a boundary, constructed by the analytic-continuation of soliton solutions of the corresponding imaginary-coupling theories. We show that only a small subset of such solutions provide acceptable vacuum configurations. These are classified according to the integrable boundary conditions they obey and their classical reflection factors are considered. We next consider the quantum theories, where we aim to provide evidence for or against exact reflection factors proposed in the literature. We do this by explicit calculation of the low-order coupling dependence of the reflection factors via perturbation theory. Two particular examples are considered in detail. The first is the O(β(^2)) calculation for a(_2)(^1) affine Toda field theory with the boundary condition. This will be a good example to study since it is the subject of many conjectured exact reflection factors and also demonstrates the renormalisation of the boundary potential required to retain quantum integrability. The second example will be the O(β(^4)) calculation for sinh-Gordon theory. In light of the added complexity of the higher-order calculation we consider only the Neumann boundary condition. Finally we look at the renormalisation of sinh-Gordon theory and its duality properties
Quantum corrections to the classical reflection factor of the sinh-Gordon model
No full textThis thesis studies the quantum reflection factor of the sinh-Gordon model under boundary conditions consistent with integrability. First, we review the affine Toda field theory in Chapter One. In particular, the classical and quantum integrability of the theory are reviewed on the whole line and on the half-line as well, that is, in the presence of a boundary. We next consider the sinh-Gordon model which is restricted to a half-line by boundary conditions maintaining integrability in Chapter Two. A perturbative calculation of the reflection factor is given to one loop order in the bulk coupling and to first order in the difference of the two parameters introduced at the boundary. The result provides a further verification of Ghoshal's formula. The calculation is consistent with a conjecture for the general dependence of the reflection factor on the boundary parameters and the bulk coupling. In Chapter Three, quantum corrections to the classical reflection factor of the sinh-Gordon model are studied up to second order in the difference of boundary data and to one loop order in the bulk coupling. Chapter Four deals with the quantum reflection factor for the sinh-Gordon model with general boundary conditions. The model is studied under boundary conditions which are compatible with integrability and in the framework of the conventional perturbation theory generalised to the affine Toda field theory. It is found that the general form of a subset of the related quantum corrections are hypergeometric functions. Finally, we sum up this thesis in Chapter Five along with some conclusions and suggestions for further future studies
On the integrability of the sine-Gordon system
No full textThis thesis investigates the integrability of the sine-Gordon system of nonlinear partial differential equations when the dependent variables are subject to some very particular boundary conditions. In chapter 1 the sine-Gordon system is introduced and, with N ϵ Z, P, Q ϵ R, the sets of initial-boundary value problems A(_N) and B(_P,Q) are defined. In the set A(_N) at the spatial variable x is unbounded and the boundary conditions are fixed by initially choosing the topological charge N. This set of problems is the one usually associated with the sine-Gordon system. In the set B(_P,Q) the spatial coordinate is constrained to the semi-line (-oo,0) and there exists two boundary parameters P,Q ϵ R to be chosen a priori. It is the study of this second set of initial-boundary value problems for arbitrary P, Q which forms all the original work of this dissertation. The study presented here is primarily concerned with the development of three separate inverse scattering methods for solving these sets of initial-boundary value problems. The first of these is developed in chapter 3 and is applicable to a subset of the problems in A(_N). The method is the one usually associated with the sine-Gordon system and studies the asymptotics of the initial data as x → ±oo. It is included in this thesis for completeness and as background for the original material which follows. Next, in chapters 4 and 5, the inverse scattering methods appropriate to initial-boundary value problems in subsets of B(_P,O) and B(_P,Q#O) are constructed. In these cases it is important to realise that it is only possible to study the asymptotics of the initial data as x → -oo. Once these three methods have been formulated they are used to find soliton solutions and infinite sets of integrals of motion for these boundary value problems. When a boundary is present at x = 0 the interaction of the solitons with this boundary is studied. These topics are addressed in chapter 6. Finally in chapter 7 the question of the integrability of both sets of problems is addressed. By interpreting the various inverse scattering methods in terms of canonical coordinate transformations of phase space it is seen that the existence of such methods can be viewed as a constructive proof of the integrability of these boundary value problems
Complex sine-Gordon theory: solitons, defects and boundaries
No full textThis thesis presents research into the properties and features of the complex sine- Gordon theory. The CSG theory is a dimensional integrable held theory that admits soliton solutions which carry a Noether charge due to the U(I) invariance of the theory. Integrable CSG defects and boundaries are constructed and interactions between solitons, defects and boundaries are analysed at the classical and quantum level. The introduction of defects into the theory is facilitated by a new Backlund transformation involving two parameters. Defect conditions, constructed so they maintain the integrability of the theory and found to be exactly the BT, are used to sew two CSG theories together. How solitons interact with the defect is investigated, in particular whether as in the SG theory solitons can be absorbed and emitted by the defect. The classical time-delay and phase-shift are calculated for soliton-defect and particle-defect scattering. Using the CSG defect to dress the Dirichlet boundary a new CSG boundary theory is produced. Its integrability is checked by the explicit construction of conserved charges. The various interactions between solitons and the boundary are analysed, compared and contrasted with the defect theory. Finally aspects of the quantum CSG boundary theory are examined, culminating in a conjecture for the quantum reflection matrix for a Q = -1-1 soliton reflecting from an unexcited boundary. Reflection and boundary bootstrap procedures are used to generate the general reflection matrix for any charged soliton reflecting from any excited boundar
Railway bridge over Sandy Creek, Clermont, Queensland, ca. 1910 [picture] /
No full textAccompanied by photographic print.; Glass negative no. 132.; Part of the Gordon Cumming Pullar collection of glass negatives of Clermont, Yeppoon and nearby locations, Queensland, ca. 1905-1932.; Condition: Emulsion erosion, silvering.; Photograph no. 191 in the book A shifting town : glass-plate images of Clermont and its people.; Railway bridge completed 1910 on line to Blair Athol, possibly taken when the bridge was under construction with workmen on bridge.; Also available in an electronic version via the internet at: http://nla.gov.au/nla.pic-vn4191869; Published in: A shifting town : glass-plate images of Clermont and its people / by G.C. Pullar ; compiled by Richard and Marguerite Stringer ; text by Marguerite Stringer. St. Lucia, Qld. : University of Queensland Press, 1986
Horse drawn coal wagons, Clermont, Queensland, ca. 1905 [picture] /
No full textAccompanied by photographic print.; Coal was transported this way until the line reached Blair Athol in 1909; plate inscribed Coal Wagons at Railway Station Clermont.; Glass negative no. 33.; Part of the Gordon Cumming Pullar collection of glass negatives of Clermont, Yeppoon and nearby locations, Queensland, ca. 1905-1932.; Photograph no. 193 in the book A shifting town : glass-plate images of Clermont and its people.; Condition: Emulsion lift, silvering, marks and scratches, dirty.; Also available in an electronic version via the Internet at: http://nla.gov.au/nla.pic-vn4191774; Published in: A shifting town : glass-plate images of Clermont and its people / by G.C. Pullar ; compiled by Richard and Marguerite Stringer ; text by Marguerite Stringer. St. Lucia, Qld. : University of Queensland Press, 1986
Footbridge over railway line, East Maitland [picture] /
No full textAlso available in an electronic version via the Internet at: http://nla.gov.au/nla.pic-an11456688-34
Hotel Gordon
No full textThis page from the late 1920s brochure for the 'Hotel Gordon'� has a line-drawing illustration of the hotel, which was located in Waynesville, North Carolina. Automobiles are shown in the drawing parked in front of the hotel and the brochure notes that 'Waynesville is easily accessible by all motor highways and North Carolina's highways are famous in their perfection.'� The cover of the brochure lists the hotel as a 'Summer Resort'� in Waynesville, N.C., which is described as 'The Switzerland of America.'� Built in 1890 and enlarged in 1910, the Hotel Gordon was a substantial structure. According to the brochure, the hotel offered an impressive array of amenities to its guests, and this particular page of the brochure notes that '[t]he grounds of the Gordon form one of its numerous attractions'� and that '[o]ne of the charms of the Gordon is the homelike atmosphere that pervades.' A fire in 1957 destroyed the building
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