Quantum Scalar Fields Interacting with Quantum Black Hole Asymptotic Regions
We continue our work on the study of spherically symmetric loop quantum gravity coupled to two spherically symmetric scalar fields, with one that acts as a clock. As a consequence of the presence of the latter, we can define a true Hamiltonian for the theory. In previous papers, we studied the theor...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-02-01
|
| Series: | Universe |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2218-1997/10/2/77 |
| _version_ | 1797296858731642880 |
|---|---|
| author | Rodolfo Gambini Jorge Pullin |
| author_facet | Rodolfo Gambini Jorge Pullin |
| author_sort | Rodolfo Gambini |
| collection | DOAJ |
| description | We continue our work on the study of spherically symmetric loop quantum gravity coupled to two spherically symmetric scalar fields, with one that acts as a clock. As a consequence of the presence of the latter, we can define a true Hamiltonian for the theory. In previous papers, we studied the theory for large values of the radial coordinate, i.e., far away from any black hole or star that may be present. This makes the calculations considerably more tractable. We have shown that in the asymptotic region, the theory admits a large family of quantum vacua for quantum matter fields coupled to quantum gravity, as is expected from the well-known results of quantum field theory on classical curved space-time. Here, we study perturbative corrections involving terms that we neglected in our previous work. Using the time-dependent perturbation theory, we show that the states that represent different possible vacua are essentially stable. This ensures that one recovers from a totally quantized gravitational theory coupled to matter the standard behavior of a matter quantum field theory plus low probability transitions due to gravity between particles that differ at most by a small amount of energy. |
| first_indexed | 2024-03-07T22:10:55Z |
| format | Article |
| id | doaj.art-3c8c72ce0f9a4adc9c6cde0ffd085d85 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-07T22:10:55Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-3c8c72ce0f9a4adc9c6cde0ffd085d852024-02-23T15:36:47ZengMDPI AGUniverse2218-19972024-02-011027710.3390/universe10020077Quantum Scalar Fields Interacting with Quantum Black Hole Asymptotic RegionsRodolfo Gambini0Jorge Pullin1Instituto de Física, Facultad de Ciencias, Iguá 4225, esq. Mataojo, Montevideo 11400, UruguayDepartment of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USAWe continue our work on the study of spherically symmetric loop quantum gravity coupled to two spherically symmetric scalar fields, with one that acts as a clock. As a consequence of the presence of the latter, we can define a true Hamiltonian for the theory. In previous papers, we studied the theory for large values of the radial coordinate, i.e., far away from any black hole or star that may be present. This makes the calculations considerably more tractable. We have shown that in the asymptotic region, the theory admits a large family of quantum vacua for quantum matter fields coupled to quantum gravity, as is expected from the well-known results of quantum field theory on classical curved space-time. Here, we study perturbative corrections involving terms that we neglected in our previous work. Using the time-dependent perturbation theory, we show that the states that represent different possible vacua are essentially stable. This ensures that one recovers from a totally quantized gravitational theory coupled to matter the standard behavior of a matter quantum field theory plus low probability transitions due to gravity between particles that differ at most by a small amount of energy.https://www.mdpi.com/2218-1997/10/2/77loop quantum gravityspherical symmetryscalar field |
| spellingShingle | Rodolfo Gambini Jorge Pullin Quantum Scalar Fields Interacting with Quantum Black Hole Asymptotic Regions Universe loop quantum gravity spherical symmetry scalar field |
| title | Quantum Scalar Fields Interacting with Quantum Black Hole Asymptotic Regions |
| title_full | Quantum Scalar Fields Interacting with Quantum Black Hole Asymptotic Regions |
| title_fullStr | Quantum Scalar Fields Interacting with Quantum Black Hole Asymptotic Regions |
| title_full_unstemmed | Quantum Scalar Fields Interacting with Quantum Black Hole Asymptotic Regions |
| title_short | Quantum Scalar Fields Interacting with Quantum Black Hole Asymptotic Regions |
| title_sort | quantum scalar fields interacting with quantum black hole asymptotic regions |
| topic | loop quantum gravity spherical symmetry scalar field |
| url | https://www.mdpi.com/2218-1997/10/2/77 |
| work_keys_str_mv | AT rodolfogambini quantumscalarfieldsinteractingwithquantumblackholeasymptoticregions AT jorgepullin quantumscalarfieldsinteractingwithquantumblackholeasymptoticregions |