scholarly journals On the characterization of relativistic quantum field theories in terms of finitely many vacuum expectation values. I

1978 ◽  
Vol 58 (2) ◽  
pp. 139-166 ◽  
Author(s):  
Erwin Brüning
Keyword(s):  
Relativistic Quantum ◽  
Vacuum Expectation ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Expectation Values

NORMALIZATION FACTORS IN CONFORMAL FIELD THEORY AND THEIR APPLICATIONS

2000 ◽  
Vol 15 (04) ◽  
pp. 259-270 ◽  
Author(s):  
V. A. FATEEV
Keyword(s):  
Vacuum Expectation ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Conformal Field Theories ◽  
Expectation Values ◽  
Conformal Field ◽  
Cylindrically Symmetric ◽  
Toda Equations ◽  
Normalization Factors

We calculate the normalization factors and reflection amplitudes in the W-invariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed conformal field theories. We also calculate the asymptotics of cylindrically symmetric solutions of the classical Toda equations.

INTERACTING QUANTUM FIELDS

1999 ◽  
Vol 11 (07) ◽  
pp. 881-928 ◽  
Author(s):  
GLENN ERIC JOHNSON
Keyword(s):  
Perturbation Expansion ◽  
Vacuum Expectation ◽  
Function Class ◽  
Generalized Functions ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Quantum Fields ◽  
Expectation Values ◽  
Limited Function

A wide class of quantum field theories (QFTs) describing interacting neutral scalar bosons are constructed. It is shown that a redefinition of the vacuum expectation values (VEV) of quantum fields as generalized functions leads to constructions of interacting fields that are operators in a Hilbert space and satisfy the physical requirements for a field theory. The field operators are constructed directly, without perturbation expansion, and constructed in spacetime of any number of dimensions. The corresponding scattering theory is developed. The limited function class underlying the QFT imposes a direction to time.

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