THE LOCALLY COVARIANT DIRAC FIELD
2010 ◽
Vol 22
(04)
◽
pp. 381-430
◽
Keyword(s):
We describe the free Dirac field in a four-dimensional spacetime as a locally covariant quantum field theory in the sense of Brunetti, Fredenhagen and Verch, using a representation independent construction. The freedom in the geometric constructions involved can be encoded in terms of the cohomology of the category of spin spacetimes. If we restrict ourselves to the observable algebra, the cohomological obstructions vanish and the theory is unique. We establish some basic properties of the theory and discuss the class of Hadamard states, filling some technical gaps in the literature. Finally, we show that the relative Cauchy evolution yields commutators with the stress-energy-momentum tensor, as in the scalar field case.
2021 ◽
1949 ◽
Vol 40
(308)
◽
pp. 937-946
◽
Keyword(s):
Keyword(s):
2020 ◽
Vol 29
(14)
◽
pp. 2043029
2010 ◽
Vol 467
(2125)
◽
pp. 59-78
◽
2021 ◽
Vol 2090
(1)
◽
pp. 012050
Keyword(s):
2012 ◽
Vol 27
(09)
◽
pp. 1250044
◽