Gravitational behavior of an effective topological field theory in a gravitational instanton background

Palumbo, Giandomenico

doi:10.1142/s0217732316500152

Cited by 5 publications

(4 citation statements)

References 26 publications

(39 reference statements)

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“…Emergent dynamics of spacetime and matter from a topological phase easily see that they give rise to the following action: (13) which is nothing but the Dirac action for the (dimensionful) spinor fields ψ ≡ ( 3/2l 3 )Ψ and ψ ≡ ( 3/2l 3 )Ψ, where m C = 2/l is the chiral mass and…”

Section: -P2mentioning

confidence: 99%

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Emergent dynamics of spacetime and matter from a topological phase

Palumbo

2023

EPL

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Here, we present a new theoretical scenario in which both dynamical Dirac fermions and Einstein’s gravity with a positive cosmological constant and torsion emerge via a spontaneous symmetry break- ing in a topological phase. This phase does not contain any local propagating degrees of freedom and is described by a metric-independent fermionic gauge theory, which is invariant under the de Sitter group. After breaking this group to its Lorentz subgroup through a dynamical Higgs mech- anism, we show that fermions become dynamical and massive while the dynamics of the locally Lorentz-invariant spacetime can be induced via the condensation of the spinor field. Within our theory, both the Dirac mass and the Newton’s constant of gravitation naturally emerge through well-known physical mechanisms.

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Section: -P2mentioning

confidence: 99%

“…Although topological phases in gravity have been already discussed in the literature [10][11][12][13][14][15][16][17][18][19][20], their role in a more general picture that embraces both gravity and fermions is still lacking.…”

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confidence: 99%

Emergent dynamics of spacetime and matter from a topological phase

Palumbo

2023

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“…Importantly, an alternative derivation of the MacDowell-Mansouri action from a topological theory has been recently proposed in Ref. [18]. Thus, following our approach, gravity and fermions can be analyzed within a common geometric framework.…”

Section: On the Emergent Dynamics Of Fermions In Curved Spacetimementioning

confidence: 99%

On the emergent dynamics of fermions in curved spacetime

Palumbo¹

2016

EPL

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-Relativistic spin-1/2 particles in curved spacetime are naturally described by Dirac theory, which is a dynamical and Lorentz-invariant field theory. In this work, we propose a nondynamical fermion theory in 3+1 dimensions dubbed spinor topological field theory, built in terms of a spinor field and a Cartan connection related to de Sitter group. We show that our model gives rise to the Dirac theory in curved spacetime when the local de Sitter gauge invariance of the model breaks down to the Lorentz gauge invariance, providing also a geometric origin to the fermion mass. Finally, we show that other gauge fields and suitable four-fermion interactions can be included in a straightforward way.

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“…In this work we will show how the gauge principle applied to fermion matter coupled to curved spacetime can induce local propagating degrees of freedom in topological gravity. This provides a novel connection between gauge theory and the emergence of dynamics in gravity and matter [10,11].…”

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From topological to topologically massive gravity through the gauge principle

Palumbo

2020

Eur. Phys. J. Plus

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It is well known that three-dimensional Einstein's gravity without matter is topological, i.e. it does not have local propagating degrees of freedom. The main result of this work is to show that dynamics in the gravitational sector can be induced by employing the gauge principle on the matter sector. This is described by a non-dynamical fermion model that supports a global gauge symmetry. By gauging this symmetry, a vector-spinor field is added to the original action to preserve the local gauge invariance. By integrating out this spin-3/2 field, we obtain a gravitational Chern-Simons term that gives rise to local propagating degrees of freedom in the gravitational sector. This is defined, after the gauging, by topologically massive gravity.

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Gravitational behavior of an effective topological field theory in a gravitational instanton background

Cited by 5 publications

References 26 publications

Emergent dynamics of spacetime and matter from a topological phase

Emergent dynamics of spacetime and matter from a topological phase

On the emergent dynamics of fermions in curved spacetime

From topological to topologically massive gravity through the gauge principle

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