Fermionic Fock Spaces and Quantum States for Causal Fermion Systems

Finster, Felix; Kamran, Niky

doi:10.1007/s00023-021-01116-2

Cited by 9 publications

(7 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In recent years also the quantum field theory limit for the standard model fields has been worked out [18,31,34,35]. This completes the derivation of our well-established theories in suitable limits (except for the Higgs field, for which the dynamics have not yet been worked out).…”

Section: Introductionsupporting

confidence: 61%

Modified measures as an effective theory for causal fermion systems

Finster,

Guendelman,

Paganini

2024

Class. Quantum Grav.

Self Cite

View full text Add to dashboard Cite

We compare the structures of the theory of causal fermion systems (CFS), an approach to unify Quantum Theory with General Relativity, with those of modiﬁed measure theories (MMT), which are a set of modiﬁed gravity theories. Spacetimes with MMT can be obtained as the continuum limit of a CFS. This suggests that MMT could serve as eﬀective descriptions of modiﬁcations to General Relativity implied by CFS. The goal is to lay the foundation for future research on exploring which MMTs are consistent with the causal action principle of CFS.

show abstract

Section: Introductionsupporting

confidence: 61%

Modified measures as an effective theory for causal fermion systems

Finster,

Guendelman,

Paganini

2024

Class. Quantum Grav.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Due to the commutator in (4.10), we refer to jets of this form as static commutator jets. For more details on commutator jets we refer to [22].…”

Section: 3mentioning

confidence: 99%

A Positive Mass Theorem for Static Causal Fermion Systems

Finster,

Platzer

2019

Preprint

Self Cite

View full text Add to dashboard Cite

Asymptotically flat static causal fermion systems are introduced. Their total mass is defined as a limit of surface layer integrals which compare the measures describing the asymptotically flat space-time and a vacuum space-time near spatial infinity. Our definition does not involve any regularity assumptions; it even applies to singular or generalized "quantum" space-times. A positive mass theorem is proven. Our methods and results explain why and how the causal action principle incorporates the nonlinear effects of gravity for static systems.

show abstract

“…For interacting bosonic fields, the constructions in [19] give rise to a description of the dynamics in terms of a unitary time evolution on bosonic Fock spaces. The generalization of these constructions to include fermionic fields is currently under investigation [18].…”

Section: Results Of the Theory And Further Readingmentioning

confidence: 99%

Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts

Finster,

Jokel

2019

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Fermionic Fock Spaces and Quantum States for Causal Fermion Systems

Cited by 9 publications

References 24 publications

Modified measures as an effective theory for causal fermion systems

Modified measures as an effective theory for causal fermion systems

A Positive Mass Theorem for Static Causal Fermion Systems

Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts

Contact Info

Product

Resources

About