Probabilistically interpretable field theories with an indefinite metric

1960 ◽  
Vol 11 (2) ◽  
pp. 193-199 ◽  
Author(s):  
K. L. Nagy
Keyword(s):  
Field Theories ◽  
Indefinite Metric

Analyticity, Covariance, and Unitarity in Indefinite-Metric Quantum Field Theories

1971 ◽  
Vol 4 (8) ◽  
pp. 2242-2254 ◽  
Author(s):  
A. M. Gleeson ◽  
R. J. Moore ◽  
H. Rechenberg ◽  
E. C. G. Sudarshan
Keyword(s):  
Field Theories ◽  
Indefinite Metric ◽  
Quantum Field Theories ◽  
Quantum Field

HILBERT SPACE REPRESENTATIONS OF THE GAUGE GROUPS OF SOME TWO DIMENSIONAL FIELD THEORIES

1993 ◽  
Vol 05 (03) ◽  
pp. 551-586 ◽  
Author(s):  
A. L. CAREY ◽  
J. D. WRIGHT
Keyword(s):  
Hilbert Space ◽  
Lie Algebras ◽  
Unsolved Problem ◽  
Field Theories ◽  
Indefinite Metric ◽  
Affine Lie Algebras ◽  
Two Dimensional ◽  
Unitary Operators ◽  
Gauge Groups ◽  
Schwinger Model

In this paper we show how the representation theory of gauge groups developed in [7] and [8] to study the massless Thirring model and representations of affine Lie algebras may be applied to the Schwinger model and to diagonal QCD 2. We also discusss how this sheds light on the currently unsolved problem of QCD 2 itself. We show how to construct operators which approximate the quantum fields of the respective models on Hilbert space, how to represent the local gauge groups by unitary operators, positivity of the n-point functions in a definite metric quantisation and how to determine the observables and vacuum structure. This analysis counterpoints the related work in [17] on the indefinite metric version of the Schwinger model.

Sign in / Sign up

Export Citation Format

Share Document