The Global Approach to Quantum Field Theory, Volumen 1Oxford University Press, 2003 - 1053 páginas This new volume takes a complete look at how classical field theory, quantum mechanics and quantum field theory are interrelated. It takes a global approach and discusses the importance of quantization by relating it to different theories such as tree amplitude and conservation laws. There arespecial chapters devoted to Euclideanization and renormalization, space and time inversion and the closed-time-path formalism. |
Índice
Fundamentals | 3 |
Dynamics and Invariance Transformations | 13 |
X24 Massless Antisymmetric Tensor Field | 18 |
Functional Differential Equation for the Structure Functions | 22 |
Comments on Chapter 2 | 28 |
Vertical Geodesics 1015 | 43 |
The Heat Kernel 531 | 45 |
The Peierls Bracket | 46 |
The Nonrelativistic Particle in a Curved Space | 251 |
The Heat Kernel | 275 |
X20 A Simple Soluble Nonlinear Model 945 | 281 |
Linear Boson Fields in Stationary Backgrounds | 291 |
Quantization of Linear Boson Fields | 320 |
X4 The Fermi Oscillator 839 | 327 |
Analytic Continuation in Dimension 1018 | 330 |
Linear Fermion Fields Stationary Backgrounds | 341 |
35 | 52 |
5 | 60 |
X13 Massive spin3 Field in Flat Spacetime 895 | 72 |
Alternative Action Functional | 78 |
X7 A Model for Ghosts 868 | 95 |
79 | 97 |
More Vacuum Phenomena 586 | 108 |
Classical Theory of Measurement | 117 |
Quantum Theory of Measurement | 131 |
Interpretation of the Quantum Formalism I | 145 |
The Schwinger Variational Principle | 162 |
The Quantum Mechanics of Standard Canonical Systems | 178 |
Interpretation of the Quantum Formalism II | 195 |
The Functional Integral for Standard Canonical Systems | 213 |
Approximation and Evaluation of the Path Integral | 234 |
Fundamental Lemma | 250 |
XO The Nonrelativistic Particle in Flat Space 799 | 345 |
Quantization of Linear Fermion Fields | 367 |
Linear Fields in Nonstationary Backgrounds | 377 |
Linear or Linearized Fields Possessing Invariant Flows | 396 |
The Effective Action the Smatrix | 409 |
X21 Quantum Mechanics on a Circle 952 | 419 |
SPECIAL TOPICS | 420 |
Gauge Theories I General Formalism | 456 |
Gauge Theories II Background Field Methods | 492 |
CaseI Gauge Theory without Ghosts Description | 513 |
529 | |
Otras ediciones - Ver todo
The Global Approach to Quantum Field Theory, Volumen 1 Bryce Seligman DeWitt Vista previa restringida - 2003 |
The Global Approach to Quantum Field Theory Bryce Seligman DeWitt No hay ninguna vista previa disponible - 2014 |
The Global Approach to Quantum Field Theory, Volumen 1 Bryce Seligman DeWitt No hay ninguna vista previa disponible - 2003 |
Términos y frases comunes
8-function a-type action functional amplitude apparatus arbitrary assumed asymptotic B₁ background boson boundary conditions bundle c-type chapter classical coefficients components computation coordinate corresponding counter terms covariant decoherence defined Denote differentiation dynamical equations effective action eigenvalues eigenvectors elements expression factor fermion field theory finite Fock space follows formalism functional derivative functional integral gauge group gauge invariant geodesic Green's function hence homotopy hypersurface identity implies infinitesimal infinity Jacobi field Killing vector field linear loop expansion Lorentz frame matrix metric mode functions nonvanishing Note obtained operator particle path integral Peierls bracket physical observables positive definite quantum field theory quantum theory region rel vac relations renormalization replaced representation S-matrix satisfy scalar field sdet spacetime supercommutator supervector symmetry t₁ theorem trajectory transformation vanish variables vertex functions Wronskian Yang-Mills yields zero дхі
Referencias a este libro
Path Integrals and Anomalies in Curved Space Fiorenzo Bastianelli,Peter van Nieuwenhuizen Vista previa restringida - 2006 |
The Structural Foundations of Quantum Gravity Dean Rickles,Steven French,Juha T. Saatsi No hay ninguna vista previa disponible - 2006 |