Black hole physics, confining solutions of SU(3)-Yang-Mills equations and relativistic models of mesons

The black hole physics techniques and results are applied to find the set of the exact solutions of the SU(3)-Yang-Mills equations in Minkowski spacetime in the Lorentz gauge. All the solutions contain only the Coulomb-like or linear in $r$ components of SU(3)-connection. This allows one to obtain some possible exact and approximate solutions of the corresponding Dirac equation that can describe the relativistic bound states. Possible application to the relativistic models of mesons is also outlined.Comment: 13 pages, LaTeX with using the mpla1.sty file from the package of World Scientific Publishing C

Proceedings of Task Force Meeting "Organizational Structures in Innovation Management", Prague 30 May-3 June, 1983

The papers in this volume are the proceedings of the Task Force Meeting on "Organizational Structures in Innovation Management" held in Prague from 30 May to 4 June, 1983, within the framework of the IIASA Innovation Management Case Study. This study is not primarily the result of IIASA in-house research but is based on collaboration with various organizations from IIASA's National Member Organization (NMO) countries. At present the study has more than 70 collaborators from 17 countries, including 9 international organizations (among them 5 international management organizations), and 14 industrial firms from 9 countries (see Appendix 4). Though there are myriad innovation studies on-going around the world, IIASA has the unique advantage of bringing analysts together in a comparative international setting. The study has been organized as a partial input to a representative final monograph on "Innovation Management in Electrotechnology: Adapting to a Changing Environment". Different issues included in the study are planned to be discussed at separate task force meetings and the proceedings and discussion materials from these meetings will be integrated and used as basic information for a final Vienna conference next year and for preparation of the monograph (see Appendix 5). The first of the above events was held in Leningrad in June 1982 and selected papers from this meeting were published as a IIASA Collaborative Paper CP-83-29. These proceedings are from the second in the series of task force meetings and the program is attached as Appendix 1. This program was used by the participants as a guideline in preparing their papers. A total of 8 countries (4 East and 4 West) were represented by 16 participants from both industry and research. Five Directors from electrotechnical firms were present (from Austria, Bulgaria, Czechoslovakia, Finland and Yugoslavia) delivering papers on the accumulated experience of their companies. Representatives from 5 management organizations, i.e., the Institute of Management in Prague, the Institute for Systems Studies in Moscow, the International Research Institute of Management Sciences in Moscow, and the Department of Business Administration from the University of Gothenburg, also presented papers reflecting the results of their work in the design of management organizational structures. Representatives from 2 additional organizations, the firm "Electrosila" (Leningrad) and the Polytechnical Institute (Leningrad) sent their papers as contributions to the meeting. (For a complete list of participants see Appendix 3). The first report, presented by Prof. Holec, at the first plenary session was a general overview reflecting most of the papers and its object was to describe the trends of development in the organizational structures of the electrotechnical industry. This report helped in focusing the other presentations and discussions on the most important and mutually interesting problems within the framework of organizational structure issues. All other papers are arranged in the same order they were presented at the meeting (see Appendix 2 for the Agenda of the meeting). The discussions are presented in summary form and reflect the character of the productive and creative environment of the meeting. Finally, although we are indebted to many people who contributed towards the success of this meeting, special mention must be made to Helen Vyshinksaya for translating and language editing some of the papers and to Susie Riley who played the crucial roles of administrative assistant, language editor, typist and conscience during all stages of preparation for the meeting and these proceedings

Selected Papers Compiled from Presentations - Leningrad Task Force Meeting, May 24-29, 1982, Leningrad, USSR

In line with the selected methodology, the Management and Technology area at IIASA decided to have the Innovation Management Task concentrate on sectors in an attempt to analyze the situation at this level of the economy before making any aggregations or conclusions relevant to management. In order to properly cover industry, it was suggested that branches that are at differing stages or that display different kinds of development be chosen for the study. Electrotechnology or power electrical engineering was one of the branches selected being an example of mature industry. The task force meeting held in Leningrad from May 24-29, 1982, was the first attempt LO scan problems in this branch and gain some kind of understanding as to the research that has been performed. The event was a multiobjective undertaking intended to identify the interest in this field. potential collaborators, and relevant issues. Due to the unique opportunity of becoming acquainted with the work of Soviet scientists, the papers presented were not only by researchers and scholars in this field, but also by decision makers on the different levels of management. For the first time, several issues are exposed for the English speaker, thus, rendering a service to the English speaking community of researchers, and enhancing the contacts with collaborators in socialist countries. The papers are arranged into four sections, each devoted to issues that can be viewed as interesting topics for further research. The discussion, found in the back of the proceedings as Appendix A, reflects the character of the productive and creative environment at the meeting. The reader must bear in mind that this is only an attempt to reflect the "milieu" as accurately as possible. It almost seems impossible to express the true working atmosphere created by the participants. The task force meeting was also the first attempt to see if IIASA could prepare a program of interest to representatives of industrial enterprises. Many questions were raised and discused. The reactions expressed by the participants at the meeting and later on significantly prove that the answer is generally positive

Off-diagonal long-range order, cycle probabilities, and condensate fraction in the ideal Bose gas

We discuss the relationship between the cycle probabilities in the path-integral representation of the ideal Bose gas, off-diagonal long-range order, and Bose--Einstein condensation. Starting from the Landsberg recursion relation for the canonic partition function, we use elementary considerations to show that in a box of size L^3 the sum of the cycle probabilities of length k >> L^2 equals the off-diagonal long-range order parameter in the thermodynamic limit. For arbitrary systems of ideal bosons, the integer derivative of the cycle probabilities is related to the probability of condensing k bosons. We use this relation to derive the precise form of the \pi_k in the thermodynamic limit. We also determine the function \pi_k for arbitrary systems. Furthermore we use the cycle probabilities to compute the probability distribution of the maximum-length cycles both at T=0, where the ideal Bose gas reduces to the study of random permutations, and at finite temperature. We close with comments on the cycle probabilities in interacting Bose gases.Comment: 6 pages, extensive rewriting, new section on maximum-length cycle

Symbols of One-Loop Integrals From Mixed Tate Motives

We use a result on mixed Tate motives due to Goncharov (arXiv:alg-geom/9601021) to show that the symbol of an arbitrary one-loop 2m-gon integral in 2m dimensions may be read off directly from its Feynman parameterization. The algorithm proceeds via recursion in m seeded by the well-known box integrals in four dimensions. As a simple application of this method we write down the symbol of a three-mass hexagon integral in six dimensions.Comment: 13 pages, v2: minor typos correcte