The Global Approach to Quantum Field Theory, Volume 1

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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.
 

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Contents

Fundamentals
3
Dynamics and Invariance Transformations
13
X24 Massless Antisymmetric Tensor Field 969
18
Small Disturbances and Greens Functions
30
Vertical Geodesics 1015
43
The Heat Kernel 531
45
The Peierls Bracket
46
X2 A Fermi doublet 822
52
Quantization of Linear Boson Fields
320
X4 The Fermi Oscillator 839
327
Analytic Continuation in Dimension 1018
330
Linear Fermion Fields Stationary Backgrounds
341
A Simple Fermi System 807
342
Quantization of Linear Fermion Fields
367
Linear Fields in Nonstationary Backgrounds
377
More Vacuum Phenomena 586
390

Finite Disturbances Tree Theorems Asymptotic Fields
60
Conservation Laws
78
X7 A Model for Ghosts 868
95
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
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
X13 Massive spin Field in Flat Spacetime 895
294
XO The Nonrelativistic Particle in Flat Space 799
315
Linear or Linearized Fields Possessing Invariant Flows
396
X15 Massless Symmetric Tensor Field in Flat Spacetime 906
403
The Effective Action the 5matrix
409
X21 Quantum Mechanics on a Circle 952
419
SPECIAL TOPICS
420
Gauge Theories I General Formalism
456
Superanalysis 976
472
Gauge Theories II Background Field Methods
492
CaseI Gauge Theory without Ghosts Description
513
Quantum Electrodynamics 731
529
Pages 1528 appear in Volume 1 pages 5291042 appear in Volume 2
530
Pages 1528 appear in Volume 1 pages 5291042 appear in Volume 2
531
Pages 1528 appear in Volume I pages 5291042 appear in Volume
535
Pages 1528 appear in Volume 1 pages 5291042 appear in Volume 2
536
XI1 Massive Symmetric Tensor Field in Flat Spacetime 883
537
Pages 1528 appear in Volume 1 pages 5291042 appear in Volume 2
539
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