Stochastic Quantization of Topological Field Theory
Author | : G. Menezes |
Publisher | : |
Total Pages | : 20 |
Release | : 2006 |
Genre | : Langevin equation |
ISBN | : |
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Author | : G. Menezes |
Publisher | : |
Total Pages | : 20 |
Release | : 2006 |
Genre | : Langevin equation |
ISBN | : |
Author | : Mikio Namiki |
Publisher | : Springer Science & Business Media |
Total Pages | : 227 |
Release | : 2008-10-04 |
Genre | : Science |
ISBN | : 3540472177 |
This is a textbook on stochastic quantization which was originally proposed by G. Parisi and Y. S. Wu in 1981 and then developed by many workers. I assume that the reader has finished a standard course in quantum field theory. The Parisi-Wu stochastic quantization method gives quantum mechanics as the thermal-equilibrium limit of a hypothetical stochastic process with respect to some fictitious time other than ordinary time. We can consider this to be a third method of quantization; remarkably different from the conventional theories, i. e, the canonical and path-integral ones. Over the past ten years, we have seen the technical merits of this method in quantizing gauge fields and in performing large numerical simulations, which have never been obtained by the other methods. I believe that the stochastic quantization method has the potential to extend the territory of quantum mechanics and of quantum field theory. However, I should remark that stochastic quantization is still under development through many mathematical improvements and physical applications, and also that the fictitious time of the theory is only a mathematical tool, for which we do not yet know its origin in the physical background. For these reasons, in this book, I attempt to describe its theoretical formulation in detail as well as practical achievements.
Author | : Werner Nahm |
Publisher | : World Scientific |
Total Pages | : 184 |
Release | : 1991-05-17 |
Genre | : |
ISBN | : 9814569429 |
Over the last two decades, topological ideas have found increasingly more applications in quantum field theory. Topological field theories are the culmination of these developments, and they formed the dominating theme of the conference. The other focal point was two-dimensional quantum gravity. The participation of such leading mathematicians as M Atiyah, R Bott, G Segal, and I Singer, is a testmony to the deep interplay of mathematics and theoretical physics.
Author | : K.H. Namsrai |
Publisher | : Springer Science & Business Media |
Total Pages | : 440 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400945183 |
over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes. Moreover, the universal character of this hypothesis of space-time at small distances enables us to re-interpret the dynamics of stochastic particles and to study some important problems of the theory of stochastic processes [such as the relativistic description of diffusion, Feynman type processes, and the problem of the origin of self-turbulence in the motion of free particles within nonlinear (stochastic) mechanics]. In this direction our approach (Part II) may be useful in recent developments of the stochastic interpretation of quantum mechanics and fields due to E. Nelson, D. Kershaw, I. Fenyes, F. Guerra, de la Pena-Auerbach, J. -P. Vigier, M. Davidson, and others. In particular, as shown by N. Cufaro Petroni and J. -P. Vigier, within the discussed approach, a causal action-at-distance interpretation of a series of experiments by A. Aspect and his co-workers indicating a possible non locality property of quantum mechanics, may also be obtained. Aspect's results have recently inspired a great interest in different nonlocal theories and models devoted to an understanding of the implications of this nonlocality. This book consists of two parts.
Author | : Mikio Namiki |
Publisher | : |
Total Pages | : 228 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662138793 |
Author | : Poul Henrik Damgaard |
Publisher | : World Scientific |
Total Pages | : 512 |
Release | : 1988 |
Genre | : Science |
ISBN | : 9789971502546 |
This collection of selected reprints presents as broad a selection as possible, emphasizing formal and numerical aspects of Stochastic Quantization. It reviews and explains the most important concepts placing selected reprints and crucial papers into perspective and compact form.
Author | : O. Kovras |
Publisher | : Nova Publishers |
Total Pages | : 232 |
Release | : 2005 |
Genre | : Science |
ISBN | : 9781594541230 |
Gang activity in the United States has been traced to the early 19th century when youth gangs emerged from some immigrant populations. Now, as then, gangs provide identity and social relationships for some young people who feel marginalised by the dominant social, economic and cultural environments in which they live. Gangs, however, are not simply a "street family" to some of the nation's disenfranchised. As distinguished by the U.S. Department of Justice, "a group must be involved in a pattern of criminal acts to be considered a youth gang." Between 1980 and 1996, the U.S. experienced significant growth in youth gangs, when the number of cities and jurisdictions that reported gang problems rose from 2863 to approximately 4,800. From 1996 through 1998, the growth seemed to slow down, but according to the 1999 National Youth Gang Survey, the number of gang members is again on the rise.
Author | : Jorge Alfaro |
Publisher | : |
Total Pages | : 212 |
Release | : 1983 |
Genre | : Field theory (Physics) |
ISBN | : |
Author | : P. Bandyopadhyay |
Publisher | : Springer Science & Business Media |
Total Pages | : 236 |
Release | : 2013-03-07 |
Genre | : Science |
ISBN | : 9401154260 |
This is a monograph on geometrical and topological features which arise in various quantization procedures. Quantization schemes consider the feasibility of arriving at a quantum system from a classical one and these involve three major procedures viz. i) geometric quantization, ii) Klauder quantization, and iii) stochastic quanti zation. In geometric quantization we have to incorporate a hermitian line bundle to effectively generate the quantum Hamiltonian operator from a classical Hamil tonian. Klauder quantization also takes into account the role of the connection one-form along with coordinate independence. In stochastic quantization as pro posed by Nelson, Schrodinger equation is derived from Brownian motion processes; however, we have difficulty in its relativistic generalization. It has been pointed out by several authors that this may be circumvented by formulating a new geometry where Brownian motion proceses are considered in external as well as in internal space and, when the complexified space-time is considered, the usual path integral formulation is achieved. When this internal space variable is considered as a direc tion vector introducing an anisotropy in the internal space, we have the quantization of a Fermi field. This helps us to formulate a stochastic phase space formalism when the internal extension can be treated as a gauge theoretic extension. This suggests that massive fermions may be considered as Skyrme solitons. The nonrelativistic quantum mechanics is achieved in the sharp point limit.
Author | : Werner Nahm |
Publisher | : |
Total Pages | : 184 |
Release | : 1991 |
Genre | : Quantum field theory |
ISBN | : 9789814539524 |