Using a Krein indefinite metric in Fock space, the Hamiltonian for cut-off models of canonically quantized Higgs-Yang-Mills fields interpolating between the Gupta-Bleuler-Feynman and Landau gauges is shown to be essentially maximal accretive and essentially Krein selfadjoint.
REFERENCES
1.
Abers
, E. S.
and Lee
, B. W.
, “Gauge theories
,” Phys. Rep., Sect. C
9
, 1
–141
(1973
).2.
Bjorken
, J. D.
and Drell
, S. D.
, Relativistic Quantum Fields
(McGraw-Hill
, New York
, 1965
).3.
4.
Challifour
, J. L.
and Wood
, W. A.
, J. Math. Phys.
28
, 2763
–2774
(1987
).5.
Devinatz
, A.
, J. Funct. Anal.
32
, 312
–335
(1979
).6.
7.
Phillips
, R. S.
, On Dissipative Operators
, Lecture Series in Differential Equations
, edited by Aziz
, A. K.
(Van Nostrand Mathematical Studies
, 1969
), Vol. 2(19), pp. 65–113.8.
Putnam
, C. R.
, Commutation Properties of Hilbert Space Operators
(Springer-Verlag
, New York
, 1967
).9.
Reed
,M.
and Simon
,B.
, Methods of Modern Mathematical Physics, Vol. 1
(Academic Press
, New York
, 1972
);Reed
, M.
and Simon
, B.
, Methods of Modern Mathematical Physics, Vol. 2
(Academic Press
, New York
, 1975
).10.
Schweber
, S. S.
, An Introduction to Relativistic Quantum Field Theory
(Row, Peterson and Co
, Evanston, IL
, 1961
).11.
Wong-Dzung
, B.
, Proc. - R. Soc. Edinburgh, Sect. A: Math.
95
, 95
–113
(1983
).© 2016 Author(s).
2016
Author(s)
You do not currently have access to this content.
