格点规范理论(Ⅰ)

本文介绍了由Wilson等人发展起来的处理粒子间强相互作用的格点规范理论。由于这个理论是建立在点阵上的规范理论,故首先讨论了点阵上体系的场论性质和统计物理性质之间的联系,介绍了处理粒子禁闭问题的Wilson判据,点阵的哈密顿形式。然后讨论了各种具体模型的计算方法,如规范场的点阵模型、紧致QED模型、费米子模型、阿贝尔Higgs模型等。在此基础上,总结出Wilson定理。本文也讨论了格点规范理论中的实空间重正化群方法,介绍了Heisenberg平面模型的重正化群分析,一维的二维的复现关系及Migdal近似。最后评介了近年来对于Wilson回路算子的一些研究,内容包括’t Hooft代数和Wilson回路算子方程等。     

Coupled continuous-time random-walk: Pseudo diffusion with anisotropic scattering

A generalization of pseudo-diffusion processes in media with anisotropic scattering, described by a coupled RW, is done by means of the CTRW theory. The behaviour of the probability distribution has been studied. A kind of phase breaking in such a behaviour arises as a function of the anisotropic parameter. Some examples, with different models for the waiting time density, are presented. In the limit of strong forward or backward scattering, we have a new way to analyze quasi-unidirectional or quasi-collapsed processes respectively.Also at Universidad Nacional del Comahue, Centro Regional BarilocheComisión Nacional de Energia AtómicaComisión Nacional de Energía Atómica and Universidad Nacional de Cuyo     

Multienergetic continuous time random walk

We have extended the CTRW theory of Montroll and Weiss including the effect of extra variables, like the energy. This MCTRW scheme can be written in a simple matrix notation, that simplifies its solution. As an example of their usefulness we have studied a two-energy-group neutron diffusion problem. This has shown the peculiarities of the transient behaviour for the variance of the probability distribution, due to the coupling between the groups.Comisión Nacional de Energiá AtómicaComisión Nacional de Energía Atómica and Universidad Nacional de Cuyo     

The Renormalization Group Treatment of the Hubbard Model

The article presents the renormalization group treatment to the Hubbard model. To begin with, the bosonization of Hubbard model Hamiltonian is performed. We have obtained the sine-Gordon Hamiltonian. We have further approximated this Hamiltonian by the Hamiltonian of ⁴-theory. Then we utilized Wilson's results of the renormalization group method and obtained the recursion formula for the Hubbard model. Having solved these formulas we have obtained the critical indices for the Hubbard model.     

The equations of Wilson's renormalization group and analytic renormalization

In the present series of two papers we solve exactly Wilson's equations for a long-range effective hamiltonian. These equations arise when one seeks a fixed point of the Wilson's renormalization group transformations in the formulation of perturbation theory. The first paper has a general character. Wilson's renormalization transformation and its modifications are defined and the group property for them is established. Some topological aspects of the renormalization transformations are discussed. A space of projection hamiltonians is introduced and a theorem on the invariance of this space with respect to the renormalization transformations is proved.     

Two-Dimensional Supergravity in the Canonical Exterior Formalism

The main features of the different linear gravity theories are reviewed. In particular, the supersymmetric extension of the Jackiw–Teitelboim (1+1) linear gravity is considered in detail within the canonical exterior formalism. In this context, the role of the several fields are analyzed. The constraints and the field equation are found. Finally, this supergravity model is treated in the second-order formalism.Member of the Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.     

Barut equation for the particle-antiparticle system with a Dirac oscillator interaction

Barut showed us how it is possible to get a Poincaré invariant n-body equation with a single time. Starting from the Barut equation for n-free particles, we show how to generalize it when they interact through Dirac oscillators with different frequencies. We then particularize the problem to n=2 and consider the particle-antiparticle system whose frequencies are respectively and –. We indicate how the resulting equation can be solved by perturbation theory, though the spectrum and its comparison with that of the mesons will be given in another publication.Member of El Colegio Nacional and El Sistema Nacional de Investigadores.Fellow of El Sistema Nacional de Investigadores (México).     

Magnetism and phase separation in the ground state of the Hubbard model

We discuss the ground state magnetic phase diagram of the Hubbard model off half filling within the dynamical mean-field theory. The effective single-impurity Anderson model is solved by Wilson's numerical renormalization group calculations, adapted to symmetry broken phases. We find a phase separated, antiferromagnetic state up to a critical doping for small and intermediate values of U, but could not stabilize a Néel state for large U and finite doping. At very large U, the phase diagram exhibits an island with a ferromagnetic ground state. Spectral properties in the ordered phases are discussed. Received 9 January 2002 Published online 25 June 2002     

Superspace gauge fixing of topological Yang-Mills theories

We revisit the construction of topological Yang-Mills theories of the Witten type with arbitrary space-time dimension and number of shift supersymmetry generators, using a superspace formalism. The super-BF structure of these theories is exploited in order to determine their actions uniquely, up to the ambiguities due to the fixing of the Yang-Mills and BF gauge invariance. UV finiteness to all orders of perturbation theory is proved in a gauge of the Landau type.Received: 29 October 2003, Published online: 18 February 2004Clisthenis P. Constantinidis: Supported in part by the Conselho Nacional de Desenvolvimento Científico e Tecnológico CNPq - BrazilOlivier Piguet: Supported in part by the Conselho Nacional de Desenvolvimento Científico e Tecnológico CNPq - BrazilWesley Spalenza: Supported in part by the Conselho Nacional de Desenvolvimento Científico e Tecnológico CNPq - Brazil     

Anomalous Vector-Boson Mass Generation on a Lattice

We show the vector boson mass generation on a lattice with the Wilson's fermion formulation. By calculating explicitly the change of the effective action under chiral transformation, it is also found an arbitrariness in the solution of the chiral Schwinger model, which depends on a lattice regularization in continuum theory.     

无费密子格点规范理论几种新作用量的探讨

我们提出了几种无费密子格点规范理论的新作用量形式,证明了它们符合Wilson对格点作用量提出的条件,讨论了它们与几种常用的作用量间的关系。并推导了在使用新作用量时Wilson圈满足的Schwinger-Dyson方程,证实了当N→∞时,E-K模型中的Schwinger-Dyson方程和标准格点模型相同。 关键词：     

Renormalization group calculation for cells with inequivalent spins

We have considered a real-space renormalization group transformation for a bidimensional Ising model, carrying out approximate calculations for cells where site spins do not play the same role. The dependence on the ratio between the number of intercell and intracell nearest-neighbour interactions has also been discussed.Fellow of the Consejo Nacional de Investigaciones Científicas y Técnicas de Argentina.Fellow of the Comisión de Investigaciones Científicas de la Provincia de Buenos Aires, Argentina.     

A Topological Study of Contextuality and Modality in Quantum Mechanics

Kochen–Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators. This enlargement allows to refer consistently to actual and possible properties of the system. By means of a topological argument, more precisely in terms of the existence of sections of sheaves, we give an extended version of Kochen–Specker theorem over this new structure. This allows us to prove that contextuality remains a central feature even in the enriched propositional system. Graciela Domenech is a fellow of the Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET). Hector Freytes is a fellow of the Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET).     

On the determination of scale and temperature factors in crystal structure analysis

The treatment is described for placing the relative intensities of X-ray diffractions on the absolute scale and for simultaneously determining the temperature factor. It is based on similar principles as the exact procedure given by Kartha for the determination of the scale factor but has the advantage that its use is not limited by the a priori knowledge of the temperature factor. The present relations can be transformed into Wilson's well-known statistical treatment by introducing certain approximations. This enables the reliability of Wilson's method to be discussed.     

Variation of long periodicity in blends of styrene butadiene,styrene copolymer/polyaniline using small angle X-ray scattering data

Small angle X-ray scattering data have been recorded for the blends of styrene butadiene, styrene copolymer/polyaniline using the beamline of the LNLS (Laboratorio Nacional de Luz sincroton-Campinas, Brazil). Employing one-dimensional Hosemann’s paracrystalline model, we have simulated the meridional reflections of these blends in order to compute the long periodicity and hence to find the variation with concentrations of the blends. Within the region of available experimental data we observe that there is a linear relationship between long periodicity and concentration of blends. These parameters are compared with physical measurements like tensile strength to find the structure-property relation in these blends.      

The Heterotic Supersymmetric Sigma Model in the Canonical Exterior Formalism

Starting from a classical 2D superconformal theory described by the Wess–Zumino–Witten action, the canonical exterior formalism on group manifold for the heterotic supersymmetric sigma model is constructed. The motion equations of the dynamical field and the constraints are found and analyzed from the geometric point of view. It can be seen how the use of the canonical exterior formalism is more adequate and simple because of its manifest covariance in all the steps. The relationship between the form brackets defined in the canonical exterior formalism and the Poisson-brackets is written. Later on, the Dirac-brackets are written by using the second class constraints provided by the canonical exterior formalism. As it can be seen the canonical exterior formalism allows to show how the canonical quantization of the heterotic supersymmetric sigma model is facilitated. Member of the Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.     

The particle structure ofv-dimensional Ising models at low temperatures

In this work we study thev-dimensional Ising model at low temperatures and establish the existence of an upper gap in the energy-momentum spectrum of the two-point function forv3. Forv=2, it is known that this gap is absent.Supported in part by Conselho Nacional de Pesquisas (CNPq-Brazil), Universidade Federal de Minas Gerais (Brazil) and the National Science Foundation under Grant PHY76-17191     

二元致冷剂气体水合物相平衡计算

本文在测定 ＨＦＣ１５２ａ／ＨＣＦＣ１４１ｂ和 ＨＦＣ１３４ａ／ＨＣＦＣ１４１ｂ 二元气体水合物相平衡数据的基础上［３］,建立二元混合气体水合物计算模型和方法。利用 Ｗｉｌｓｏｎ活度系数理论和Ｌａｎｇｍｕｉｒ等温吸附理论建立了水合物相各组成的逸度计算模型,并依据水合物中客体分子的逸度平衡条件进行了混合水合物的相平衡计算。计算结果正确地表征混合气体水合物相平衡特性,并与实验数据较精确吻合。     

A new approximation for the dynamics of the transverse ising model

An improved mean field theory, the Reaction Field Approximation, which was previously used to obtain the static properties of model systems of localized spins (Heisenberg, XY, Ising and also more complicated interaction Hamiltonians) is extendend so that dynamical properties of the Ising model in presence of a transverse field can also be calculated. Theq- and -dependent susceptibility is obtained as function of field and temperature, from which the dynamic correlation functions can also be obtained. The dependence of the critical temperature on the transverse field is calculated and a phase diagram is presented.Work partly supported by Conselho Nacional de Desenvolvimento Cientifico e Tecnológico, CNPq, Brazil and by Alexander von Humboldt Stiftung, FRG