Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.
On Unitary Ray Representations of Continuous Groups
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The Newton-Cartan limit of Klein-Gordon AQFT on static spacetimes produces Galilean Haag-Kastler nets without Reeh-Schlieder property or modular flow on local algebras, with the field mass as Bargmann central charge.
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Galilean Reeh--Schlieder Obstruction
Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.
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Newton-Cartan limit of Klein-Gordon AQFT and the collapse of Galilean modular structure
The Newton-Cartan limit of Klein-Gordon AQFT on static spacetimes produces Galilean Haag-Kastler nets without Reeh-Schlieder property or modular flow on local algebras, with the field mass as Bargmann central charge.
- The balanced structure on the category of representations of a conformal net