Emptiness and Depletion Formation Probability in spin models with inverse square interaction

We calculate the Emptiness Formation Probability (EFP) in the spin-Calogero Model (sCM) and Haldane-Shastry Model (HSM) using their hydrodynamic description. The EFP is the probability that a region of space is completely void of particles in the ground state of a quantum many body system. We calculate this probability in an instanton approach, by considering the more general problem of an arbitrary depletion of particles (DFP). In the limit of large size of depletion region the probability is dominated by a classical configuration in imaginary time that satisfies a set of boundary conditions and the action calculated on such solution gives the EFP/DFP with exponential accuracy. We show that the calculation for sCM can be elegantly performed by representing the gradientless hydrodynamics of spin particles as a sum of two spin-less Calogero collective field theories in auxiliary variables. Interestingly, the result we find for the EFP can be casted in a form reminiscing of spin-charge separation, which should be violated for a non-linear effect such as this. We also highlight the connections between sCM, HSM and $\lambda=2$ spin-less Calogero model from a EFP/DFP perspective.Comment: 26 pages, no figure

Exact solution and finite size properties of the Uq[osp(2∣2m)]U_{q}[osp(2|2m)] vertex model

We have diagonalized the transfer matrix of the $U_{q}[osp(2|2m)]$ vertex model by means of the algebraic Bethe ansatz method for a variety of grading possibilities. This allowed us to investigate the thermodynamic limit as well as the finite size properties of the corresponding spin chain in the massless regime. The leading behaviour of the finite size corrections to the spectrum is conjectured for arbitrary $m$. For $m=1$ we find a critical line with central charge $c=-1$ whose exponents vary continuously with the $q$-deformation parameter. For $m\geq 2$ the finite size term related to the conformal anomaly depends on the anisotropy which indicates a multicritical behaviour typical of loop models.Comment: 40 pages, 8 figures, late

Interplay between Zamolodchikov-Faddeev and Reflection-Transmission algebras

We show that a suitable coset algebra, constructed in terms of an extension of the Zamolodchikov-Faddeev algebra, is homomorphic to the Reflection-Transmission algebra, as it appears in the study of integrable systems with impurity.Comment: 8 pages; a misprint in eq. (2.14) and (2.15) has been correcte

On String S-matrix, Bound States and TBA

The study of finite J effects for the light-cone AdS superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by the double Wick rotation. The S-matrices describing the scattering of physical excitations in the string and mirror models are related to each other by an analytic continuation. We show that the unitarity requirement for the mirror S-matrix fixes the S-matrices of both theories essentially uniquely. The resulting string S-matrix S(z_1,z_2) satisfies the generalized unitarity condition and, up to a scalar factor, is a meromorphic function on the elliptic curve associated to each variable z. The double Wick rotation is then accomplished by shifting the variables z by quarter of the imaginary period of the torus. We discuss the apparent bound states of the string and mirror models, and show that depending on a choice of the physical region there are one, two or 2^{M-1} solutions of the M-particle bound state equations sharing the same conserved charges. For very large but finite values of J, most of these solutions, however, exhibit various signs of pathological behavior. In particular, they might receive a finite J correction to their energy which is complex, or the energy correction might exceed corrections arising due to finite J modifications of the Bethe equations thus making the asymptotic Bethe ansatz inapplicable.Comment: 77 pages, 6 figures, v2: the statement about the periodicity condition for mirror fermions corrected; typos corrected; references added, v3: misprints correcte

Living Together: Representations of Animals and the Performance of Elite Identities in French Spaces of Sociability, 1700-1789

This dissertation analyzes the complex bonds between humans and animals as they were represented in eighteenth-century French art and material culture. I argue that despite scientific, philosophic, and social efforts to firmly separate the categories of human and animal, the creatures that elites encountered on a daily basis were intimately entwined with expressions of refined, cultivated identities. As a result, visual depictions of animals – associated with nature and the natural world – became integral to the understanding and expression of the human, cultural world. Indeed, the distinction between humans and animals was positively blurred in the visual arts. In my analysis of the muddled categories, I explore four iterations of the animal form: (1) animals as compagnie (company), (2) animals as cuisine (food), (3) animals as couture (clothing) and (4) animals as conseillers (guides). Aristocrats would regularly encounter these forms of animals in spaces of sociability (such as the dining room, salon, and boudoir), locations that proved central to performances of identity and expressions of the most astute forms of culture. Turning to works of art by well-known (such as Jean-Honoré Fragonard, François Boucher, and Jean-Siméon Chardin), understudied (such as François-Pierre Brain de Sainte Marie), and unknown artists, I analyze how the visual landscape represented an alternative view of the world described and catalogued in Enlightenment texts. My study combines art historical analysis with both a close attention to eighteenth-century discourses on nature and insights drawn from the field of animal studies. This project reveals the profound cultural work performed by representations of animals, argues that eighteenth-century animal encounters were not limited to interactions with living creatures, and introduces an alternative understanding of the French Enlightenment’s interpretation of animals.Doctor of Philosoph

A Republican Mirage: Zuber et Cie's Vues d'Amérique du Nord

In 1834 the French wallpaper company Zuber et Cie, produced a scenic wallpaper titled Vues d'Amérique du Nord, in which scenes of American life unfold across the forty-nine foot composition. Using the popular tropes of viewing spectacles, Zuber et Cie frames American society as a series of five idealized, picturesque vignettes. When considering this wallpaper, there are two levels of spectacle that occur simultaneously: those occurring on the wallpaper's surface and the larger spectacle, which the viewer would have experienced when surrounded by the panoramic-like wallpaper. In this thesis, I examine the layered spectacles, placing the wallpaper within a large context of French interest in America, popular vocabularies of spectacle, and the nineteenth-century French home. Through my analysis, I articulate how and why Vues d'Amérique du Nord was a product of a very specific time in the July Monarchy, during which America was envisioned as the future of France

Taxing Under the Influence? : Corruption and U.S. State Beer Taxes

This article examines the effect of state level corruption on state beer taxes in the United States. Our lobby group model predicts that corruption reduces the beer tax, but this effect is conditional on the level of alcohol-related vehicle deaths. Using a panel of state level data from 1982 to 2001, we find that increased corruption is associated with lower state beer tax rates. The magnitude of the effect, however, declines with increases in alcohol-related traffic deaths. Our findings suggest that future empirical work estimating the effect of alcohol taxes on alcohol-related traffic fatalities should treat alcohol taxes as endogenous

Spontaneous symmetry breaking in the non-linear Schrodinger hierarchy with defect

We introduce and solve the one-dimensional quantum non-linear Schrodinger (NLS) equation for an N-component field defined on the real line with a defect sitting at the origin. The quantum solution is constructed using the quantum inverse scattering method based on the concept of Reflection-Transmission (RT) algebras recently introduced. The symmetry of the model is generated by the reflection and transmission defect generators defining a defect subalgebra. We classify all the corresponding reflection and transmission matrices. This provides the possible boundary conditions obeyed by the canonical field and we compute these boundary conditions explicitly. Finally, we exhibit a phenomenon of spontaneous symmetry breaking induced by the defect and identify the unbroken generators as well as the exact remaining symmetry.Comment: discussion on symmetry breaking has been improved and examples adde

Yang-Mills Correlation Functions from Integrable Spin Chains

The relation between the dilatation operator of N=4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the technology of integrable spin chains to the calculation of Yang-Mills correlation functions by expressing them in terms of matrix elements of spin operators on the corresponding spin chain. We illustrate this method with several examples in the SU(2) sector described by the XXX_1/2 chain.Comment: 27 pages, 3 figures, harvma

Sale Force Automation Systems: The Correspondence Between The Perception Of Productivity Gains And The Perception Of Management Control Among Salespeople

Sales force automation (SFA) technologies have many apparent benefits, but the adoption of SFA systems often fails because the sales force holds poor perceptions of these technologies. Understanding how these perceptions affect adoption of SFA systems is important because negative perceptions held by the sales force can often adversely influence the successful adoption and implementation of such systems. This paper examines how the sales force’s  perceptions of productivity gains resulting from the adoption of an SFA system can be affected by their corresponding  perception of the SFA system as a tool employed by upper-level management to more closely manage the activities of the sales force. The results are based on a national survey of 1,657 salespeople. The findings indicate a negative relationship between salespeople’s perceptions of the potential gains associated with the adoption of an SFA system and their corresponding perception of the use of the system by upper-level management to more closely manage the activities of the sales force