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El. knyga: String Theory Demystified

3.72/5 (69 ratings by Goodreads)
  • Formatas: 350 pages
  • Serija: Demystified
  • Išleidimo metai: 31-Aug-2008
  • Leidėjas: McGraw-Hill Professional
  • Kalba: eng
  • ISBN-13: 9780071596206
Kitos knygos pagal šią temą:
  • Formatas: 350 pages
  • Serija: Demystified
  • Išleidimo metai: 31-Aug-2008
  • Leidėjas: McGraw-Hill Professional
  • Kalba: eng
  • ISBN-13: 9780071596206
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UNRAVEL the mystery of STRING THEORY

Trying to understand string theory but ending up with your brain in knots? Here's your lifeline! This straightforward guide explains the fundamental principles behind this cutting-edge concept.

String Theory Demystified elucidates the goal of the theory--to combine general relativity and quantum theory into a single, unified framework. You'll learn about classical strings, conformal field theory, quantization, compactification, and T duality. The book covers supersymmetry and superstrings, D-branes, the holographic principle, and cosmology. Hundreds of examples and illustrations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.

This fast and easy guide offers:





Numerous figures to illustrate key concepts

Sample problems with worked solutions

Coverage of equations of motion, the energy-momentum tensor, and conserved currents

A discussion of the Randall-Sundrum model

A time-saving approach to performing better on an exam or at work

Simple enough for a beginner, but challenging enough for an advanced student, String Theory Demystified is your key to comprehending this theory of everything.
Preface xi
Introduction
1(20)
A Quick Overview of General Relativity
2(1)
A Quick Primer on Quantum Theory
3(5)
The Standard Model
8(1)
Quantizing the Guravitational Field
8(2)
Some Basic Analysis in String Theory
10(1)
Unification and Fundamental Counstants
11(1)
String Theory Overview
12(6)
Summary
18(1)
Quiz
18(3)
The Classical String I: Eqauations of Motion
21(30)
The Relativistic Point Particle
22(6)
String in Space-Time
28(4)
Equations of Motion for the String
32(4)
The Polyakov Action
36(1)
Mathematical Aside: The Euler Characteristic
36(3)
Light-Cone Coordinates
39(4)
Solutions of the Wave Equation
43(1)
Open Sting with Free Endpoints
44(2)
Closed Strings
46(1)
Open Strings with Fixed Endpoints
47(2)
Posisson Brackets
49(1)
Quiz
49(2)
The Classical String II: Symmetries and Worldsheet Currents
51(18)
The Energy-Momentum Tensor
52(1)
Symmetries of the Polyakov Action
53(6)
Transforming to a Flat Worldsheet Metric
59(4)
Conserved Currents from Poincare Invariance
63(4)
The Hamiltonian
67(1)
Summary
67(1)
Quiz
67(2)
String Quantization
69(20)
Covariant Quantization
70(15)
Light-Cone Quantization
85(2)
Summary
87(1)
Quiz
87(2)
Conformal Field Theory Part I
89(26)
The Role of Conformal Field Theory in String Theory
92(1)
Wick Rotations
93(1)
Complex Coordinates
94(4)
Generators of Conformal Transformations
98(2)
The Two-Dimensional Conformal Group
100(4)
Central Extension
104(1)
Closed String Conformal Field Theory
105(2)
Wick Expansion
107(3)
Operator Product Expansion
110(4)
Summary
114(1)
Quiz
114(1)
BRST Quantizationa
115(12)
BRST Operators and Introductory Remarks
116(2)
BRST-Invariant States
118(2)
BRST in String Theory-CFT
120(2)
BRST Transformatins
122(3)
No-Ghost Theorem
125(1)
Summary
125(1)
Quiz
126(1)
RNS Supestings
127(26)
The Superstring Action
128(5)
Conserved Currents
133(3)
The Energy-Momentum Tensor
136(4)
Mode Expansions and Boundary Conditions
140(3)
Super-Virsoro Generators
143(1)
Canonical Quantization
144(1)
The Super-Virasoro Algebra
145(2)
The Open String Specturm
147(1)
GSO Projection
148(1)
Critical Dimension
149(1)
Summary
150(1)
Quiz
150(3)
Compacticfication and T-Duality
153(14)
Compactification of the 25th Dimension
153(2)
Modified Mass Spectrum
155(4)
T-Duality for Closed Strings
159(3)
Open Strings and I-Duality
162(2)
D-Branes
164(1)
Summary
165(1)
Quiz
165(2)
Superstring Theory Continued
167(20)
Superspace and Superfields
168(3)
Superfiels for Worldsheet Supersymmetry
171(2)
Grassmang Integration
173(1)
A Manifestly Supersymmetric Action
174(1)
The Green-Schwarz Action
175(5)
Space-Time Supersymmetry and Strings
180(1)
Light-Cone Gaue
181(3)
Canonical Quantization
184(1)
Summary
185(1)
Quiz
186(1)
A Summary of Superstring Theory
187(8)
A Summary of Superstring Theory
187(3)
Superstring Theory
190(2)
Dualities
192(1)
Quiz
193(2)
Type II String Theories
195(12)
The R and NS Sectors
195(5)
The Spin Field
200(1)
Type II A String Theory
201(2)
Type II B Theory
203(1)
The Massless Specturm of Different Sectors
203(1)
Summary
204(1)
Quiz
205(2)
Heterotic String Theory
207(14)
The Action for SO(32) Theory
208(1)
Quantization of SO(32) Theory
209(5)
The Spectrum
214(2)
Compactification and Quantized Momentum
216(3)
Summary
219(1)
Quiz
219(2)
D-Branes
221(18)
The Space-Time Arena
223(2)
Quantization
225(5)
D-Branes in Superstring Theory
230(1)
Multiple D-Branes
230(5)
Tachyons and D-Brane Decay
235(2)
Summary
237(1)
Quiz
237(2)
Black Holes
239(16)
Black Hoels in General Relativity
240(3)
Charged Black Holes
243(3)
The Laws of Black Hole Mechanics
246(1)
Computing the Temperature of a Black Hole
247(2)
Entropy Calculations for Black Holes with String Theory
249(4)
Summary
253(1)
Quiz
253(2)
The Holographic Principle and AdS/CFT Correspondence
255(10)
A Statement of the Holographic Principle
256(1)
A Qualitative Description of AdS/CFT Correspondence
257(1)
The Holographic Principle and M-Theory
258(2)
More Correspondence
260(2)
Summary
262(1)
Quiz
262(3)
String Theory and Cosmology
265(14)
Einstein's Equatioons
266(1)
Inflation
266(2)
The Kasner Metric
268(5)
The Randall-Sundrum Model
273(2)
Brane wolds and the Ekpyrotic Universe
275(2)
Summary
277(1)
Quiz
278(1)
Final Exam 279(6)
Quiz Solutions 285(6)
Final Exam Solution 291(6)
References 297(2)
Index 299
David McMahon is a Microsoft Certified Visual Basic developer. He writes object-oriented software and hardware drivers for Windows NT and 95/98 using Visual Basic and Visual C++. He is also a Microsoft Certification instructor for Visual Basic and Microsoft Access.