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Quantum Fields and Strings
Context
Quantum field theory
Physics
This entry collects linked keywords for the book
on quantum field theory and string theory .
Parts of this appear separately elsewhere, for instance
on fundamental supergeometry needed for describing fermion particles (and superstrings ). See also
While advertized as “A course for mathematicians”, experience shows that it is not really suited for pure mathematicians without previous exposition to and tolerance for physics, particularly beyond the first chapters (which show strong ambition to be mathematically precise) towards the following lectures (which are mainly standard lectures of theoretical physicists). But it is much better than the average physics text.
More in detail: this is a long collection of (in parts) long lectures by many top string theorists and also by some genuine top mathematicians. Correspondingly it covers a lot of ground, while still being introductory. Especially towards the beginning there is a strong effort towards trying to formalize or at least systematize much of the standard lore. But one can see that eventually the task of doing that throughout had been overwhelming. Nevertheless, this is probably the best source that there is out there. If you only ever touch a single book on string theory, touch this one.
Contents
Volume I
Part 1: Classical fields and Supersymmetry
Classical field theory
Chapter 1. Classical mechanics
Chapter 2. Lagrangian theory of classical fields
Chapter 3. Free field theories
Chapter 4. Gauge theory
Chapter 5. $\sigma$ -Models and coupled gauge theories
Chapter 6. Topological terms
Chapter 7. Wick rotation
Volume II
Lecture 1. Simple functional integrals
Lecture 3. $\sigma$ -Models
Perturbative String Theory
Lecture 1. Point varticles and strings
Lecture 2. Spectrum of the free bosonic string
Lecture 3. String amplitudes and moduli space of curves
Lecture 4. Fadeev-Popov Ghost – BRST Quantization
Lecture 5. Moduli dependence of determinants and Green functions
Lecture 6. Strings on general manifolds
Lecture 7. Free superstrings
Lecture 8. Heterotic strings
Lecture 9. Superstring perturbation theory
Lecture 10. Supersymmetry and supergravity
Super Space Description of Super Gravity
Chpater 0. Introduction
Chapter 1. Chiral algebra
Chapter 2. CFT data
Chapter 3. Examples
Chapter 4. BRST and string amplitudes
Chapter 5. Further construcitons
Chapter 6. The free bosonic theory
Kaluza-Klein Compactifications, Supersymmetry, and Calabi Yau Spaces
Lecture 1. Compactifications to dimension four
Lecture 2. Supersymmetry and Calabi-Yau manifolds
Part 4: Dynamical Aspects of QFT
Dynamics of Quantum Field Theory
Lecture 1. Symmetry breaking
Lecture 2. Gauge symmetry breaking and more infrared behaviour
Lecture 3. BRST quantization of gauge theories
Lecture 4. Infrared behaviour of the S-matrix of the 2-dimensional $\sigma$ -model with target space $S^{N-1}$
Lecture 5. The large $N$ limit of the $\sigma$ -model into Grassmannians
Lecture 6. The Bose-Fermi correspondence and its applications
Lecture 7. Two-dimensional gauge theory of bosons, the Wilson line operator and confinement
Lecture 8. Abelian duality
Lecture 9. Solitons
Lecture 10. Wilson loops, ‘t Hooft loops and ‘t Hooft’s picture of confinement
Lecture 11. Quantum gauge theories in two dimensions and intersection theory on moduli space
Lecture 12. Supersymmetric field theories
Lecture 13. $N=2$ SUSY theories in dimension two: part I
Lecture 14. $N=2$ SUSY theories in dimension two: part II, Chiral rings and twisted theories
Lecture 15. The Landau-Ginzburg description of $N = 2$ minimal models; Quantum cohomology and Kähler manifolds
Lecture 16. Four-dimensional gauge theories
Lecture 17. $N=2$ supersymmetric Yang-Mills theories in dimension four: part 1
Lecture 18. $N=2$ supersymmetric Yang-Mills theories in dimension four: part 2
Lecture 19. $N=2$ supersymmetric Yang-Mills theories in dimension four: part 3, Topological applications
Dynamics of $N = 1$ Supersymmetric Field Theories in Four Dimensions
Revised on October 9, 2013 11:42:53
by
Urs Schreiber
(89.204.139.155)