Book Description
The first introductory account of using string diagrams to reason in elementary category theory.
Author : Ralf Hinze
Publisher : Cambridge University Press
Page : 197 pages
File Size : 45,8 MB
Release : 2023-07-31
Category : Computers
ISBN : 1009317865
The first introductory account of using string diagrams to reason in elementary category theory.
Author : Peter West
Publisher : Cambridge University Press
Page : 723 pages
File Size : 26,51 MB
Release : 2012-07-05
Category : Science
ISBN : 0521817471
Detailed, step-by-step introduction to the theoretical foundations of strings and branes, essential reading for graduate students and researchers.
Author : Michael B. Green
Publisher : Cambridge University Press
Page : 481 pages
File Size : 17,33 MB
Release : 2012-07-26
Category : Science
ISBN : 1107029112
A twenty-fifth anniversary edition featuring a new preface, invaluable for graduate students and researchers in general relativity and elementary particle theory.
Author : Michael B. Green
Publisher : Cambridge University Press
Page : 484 pages
File Size : 38,3 MB
Release : 1988-07-29
Category : Science
ISBN : 9780521357524
Vol. 1.
Author : Harold Erbin
Publisher : Springer Nature
Page : 424 pages
File Size : 33,34 MB
Release : 2021-03-26
Category : Science
ISBN : 3030653218
This textbook provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to the development of SFT, a description of string theory using the field theory formalism (second-quantization). As a field theory, SFT provides a rigorous and constructive formulation of string theory. The main focus of the book is the construction of the closed bosonic SFT. The accent is put on providing the reader with the foundations, conceptual understanding and intuition of what SFT is. After reading this book, the reader is able to study the applications from the literature. The book is organized in two parts. The first part reviews the notions of the worldsheet theory that are necessary to build SFT (worldsheet path integral, CFT and BRST quantization). The second part starts by introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After constructing the closed SFT, the author outlines the proofs of several important properties such as background independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed.
Author : Michio Kaku
Publisher : Springer Science & Business Media
Page : 579 pages
File Size : 34,70 MB
Release : 2012-12-06
Category : Science
ISBN : 1468403192
We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough. Niels Bohr Superstring theory has emerged as the most promising candidate for a quan tum theory of all known interactions. Superstrings apparently solve a problem that has defied solution for the past 50 years, namely the unification of the two great fundamental physical theories of the century, quantum field theory and general relativity. Superstring theory introduces an entirely new physical picture into theoretical physics and a new mathematics that has startled even the mathematicians. Ironically, although superstring theory is supposed to provide a unified field theory of the universe, the theory itself often seems like a confused jumble offolklore, random rules of thumb, and intuition. This is because the develop ment of superstring theory has been unlike that of any other theory, such as general relativity, which began with a geometry and an action and later evolved into a quantum theory. Superstring theory, by contrast, has been evolving backward for the past 20 years. It has a bizarre history, beginning with the purely accidental discovery of the quantum theory in 1968 by G. Veneziano and M. Suzuki. Thumbing through old math books, they stumbled by chance on the Beta function, written down in the last century by mathematician Leonhard Euler.
Author : Dusko Pavlovic
Publisher : Springer Nature
Page : 261 pages
File Size : 30,83 MB
Release : 2023-09-19
Category : Computers
ISBN : 3031348273
It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions. In this unique textbook/reference, programs are drawn as string diagrams in the language of categories, which display a universal syntax of mathematics (Computer scientists use them to analyze the program semantics; programmers to display the syntax of computations). Here, the string-diagrammatic depictions of computations are construed as programs in a single-instruction programming language. Such programs as diagrams show how functions are packed in boxes and tied by strings. Readers familiar with categories will learn about the foundations of computability; readers familiar with computability gain access to category theory. Additionally, readers familiar with both are offered many opportunities to improve the approach. Topics and features: Delivers a ‘crash’ diagram-based course in theory of computation Uses single-instruction diagrammatic programming language Offers a practical introduction into categories and string diagrams as computational tools Reveals how computability is programmability, rather than an ‘ether’ permeating computers Provides a categorical model of intensional computation is unique up to isomorphism Serves as a stepping stone into research of computable categories In addition to its early chapters introducing computability for beginners, this flexible textbook/resource also contains both middle chapters that expand for suitability to a graduate course as well as final chapters opening up new research. Dusko Pavlovic is a professor at the Department of Information and Computer Sciences at the University of Hawaii at Manoa, and by courtesy at the Department of Mathematics and the College of Engineering. He completed this book as an Excellence Professor at Radboud University in Nijmegen, The Netherlands.
Author : Will Winn
Publisher : AuthorHouse
Page : 446 pages
File Size : 35,61 MB
Release : 2010-09
Category : Education
ISBN : 1452048983
Will Winn has written {Introduction to Understandable Physics} in a building-block fashion. Accordingly, {Volume IV - Modern and Frontier Physics} builds on the classical physics of the earlier volumes. {Volume IV} begins by studying the birth of quantum physics and relativity early in the twentieth century. These concepts then apply to atomic physics, explaining the periodic table relative to quantized electron shells. Similarly, nuclear physics explores the nucleus relative to its collective shell model. Atomic and nuclear applications are examined in medicine, power production and research, along with familiar items such as smoke detectors, cell phones and bar-code scanners. Frontier physics examines both extremely small and large structures. Protons, neutrons, and many other particles can be classified into families. Each particle comprises {quarks}, which define a "genetic" family. A deeper substructure of {strings} has also been theorized but experimental confirmation is problematic. For very large structures, cosmology explores the evolution of the universe, noting that the Big-Bang projects that "the very small" and "the very large" were "one-and-the-same" in their early development. This sameness argues that the four basic forces of nature were originally indistinguishable! Our understanding of the expansion of the universe has been impacted by the discoveries of {dark matter} and {dark energy}, The expansion rate projects the ultimate destiny of the universe - a "big crunch" or continued expansion. Much is yet to be explored! Near the end of each chapter a [Simple Projects] section suggests experiments and/or field trips that can reinforce the physics covered. Some experiments are simple enough for students to explore alone, while others benefit from equipment available to physics instructors. Also {optional} text sections provide students with a deeper appreciation of the subject matter; however these are not required for continuity. Some of these optional topics can be candidates for term projects.
Author : John H Schwarz
Publisher : World Scientific
Page : 1168 pages
File Size : 24,1 MB
Release : 1985-09-01
Category : Duality (Nuclear physics)
ISBN : 9814590762
The discovery by Green and Schwarz in 1984 that ten-dimensional superstring theory is anomaly-free and finite only if the Yang-Mills gauge group is SO(32) or E8 x E8 has made the phenomenological possibilities of superstrings evident. Ths has resulted in a sudden surge of interest in superstrings unification. Since this fast-developing field is new to almost all theoretical physicist, this collection of basic pre-1985 references should be very valuable. This two volumes contain over 1000 pages of reprints plus some introductory comments by J Schwarz.
Author : Horaƫiu Năstase
Publisher : Cambridge University Press
Page : 457 pages
File Size : 35,57 MB
Release : 2015-09-10
Category : Science
ISBN : 1107085853
A pedagogical and self-contained introduction to AdS/CFT correspondence aimed at graduate students and researchers across theoretical physics.