Causality and matter propagation in 3d spin foam quantum gravity

Daniele Oriti; Tamer Tlas

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Causality and matter propagation in 3d spin foam quantum gravity

Daniele Oriti, Tamer Tlas

General Relativity and Quantum Cosmology · Submitted 27 Aug 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Finally, we show that the corresponding spin foam amplitudes admit a natural approximation as the Feynman amplitudes of a non-commutative quantum field theory, with the appropriate Feynman propagators weighting the lines of propagation, and that this effective field theory reduces to usual QFT in flat space in the no-gravity limit.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.22 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

In this paper we tackle the issue of causality in quantum gravity, in the context of 3d spin foam models. We identify the correct procedure for implementing the causality/orientation dependence restriction that reduces the path integral for BF theory to that of quantum gravity in first order form. We construct explicitly the resulting causal spin foam model. We then add matter degrees of freedom to it and construct a causal spin foam model for 3d quantum gravity coupled to matter fields. Finally, we show that the corresponding spin foam amplitudes admit a natural approximation as the Feynman amplitudes of a non-commutative quantum field theory, with the appropriate Feynman propagators weighting the lines of propagation, and that this effective field theory reduces to usual QFT in flat space in the no-gravity limit.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper we tackle the issue of causality in quantum gravity, in the context of 3d spin foam models.	background 0.81	0.78	0.03	asserted 0.64
s1	We identify the correct procedure for implementing the causality/orientation dependence restriction that reduces the path integral for BF theory to that of quantum gravity in first order form.	contribution 0.56	0.93	0.11	asserted 1.00
s2	We construct explicitly the resulting causal spin foam model.	contribution 0.92	0.96	0.10	asserted 1.00
s3	We then add matter degrees of freedom to it and construct a causal spin foam model for 3d quantum gravity coupled to matter fields.	contribution 0.97	0.96	0.10	asserted 1.00
s4	Finally, we show that the corresponding spin foam amplitudes admit a natural approximation as the Feynman amplitudes of a non-commutative quantum field theory, with the appropriate Feynman propagators weighting the lines of propagation, and that this effective field theory reduces to usual QFT in flat space in the no-gravity limit.	result 0.96	0.94	0.59	asserted 1.00

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Original abstract

In this paper we tackle the issue of causality in quantum gravity, in the context of 3d spin foam models. We identify the correct procedure for implementing the causality/orientation dependence restriction that reduces the path integral for BF theory to that of quantum gravity in first order form. We construct explicitly the resulting causal spin foam model. We then add matter degrees of freedom to it and construct a causal spin foam model for 3d quantum gravity coupled to matter fields. Finally, we show that the corresponding spin foam amplitudes admit a natural approximation as the Feynman amplitudes of a non-commutative quantum field theory, with the appropriate Feynman propagators weighting the lines of propagation, and that this effective field theory reduces to usual QFT in flat space in the no-gravity limit.

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References

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11 arXiv papers cite this in 27 sentences

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Papers citing it · 18 sentences without a confident label

Compares with it 1 paper

There are several differences, however, between the model proposed here and the one proposed in [ref] , i.e. between ([ref]) and ([ref]).

A New Class of Group Field Theories for 1st Order Discrete Quantum Gravity · Riemannian 3d gravity · 1.00

Cites it as support 2 papers

More precisely, the amplitudes of BF-theory do not depend on the $2$-complex $Δ^*$, therefore being in particular blind to the orientation of $Δ^*$ [ref] (see also [ref] for earlier and later related results in the 3d case).

The Complete Barrett-Crane Model and its Causal Structure · Spacetime orientation · 0.97
This same restriction has been argued for as a (pre-)causality condition needed to define causal transition amplitudes for BF theory and gravity in [ref] .

Group field theory and simplicial quantum gravity · Feynman amplitudes: discrete gravity path integrals · 0.96

Cites it as background 4 papers

For further discussion on this, see [ref] , and for a classic treatment of the issue of causality and different transition amplitudes in quantum gravity, within the covariant path integral approach, see [ref] .

A New Class of Group Field Theories for 1st Order Discrete Quantum Gravity · Causality, orientation dependence, 3rd quantization and quantum (discrete) gravity path integrals · 1.00
However, discussions on the problem are usually constrained to take place on a formal level (see, e.g., [ref] for an overview, [ref] for the formal construction in quantum gravity path integrals, and [ref] for tentative definitions of causal counterparts of spin foam models for quantum gravity).

Two-point functions in (loop) quantum cosmology · Vertex expansions: Feynman propagator · 1.00
The role of causality in the spinfoam framework has been studied since the early literature [ref] .

Causal Structure for Generalized Spinfoams · Introduction · 0.99

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