Quantum Scalar-Field Propagator in a Stochastic Gravitational-Plane Wave
A stochastic metric can appear in classical as well as in quantum gravity. We show that if the linearized stochastic Gaussian gravitational-plane wave has the frequency spectrum <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><sema...
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MDPI AG
2022-12-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/12/648 |
| _version_ | 1797455012846108672 |
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| author | Zbigniew Haba |
| author_facet | Zbigniew Haba |
| author_sort | Zbigniew Haba |
| collection | DOAJ |
| description | A stochastic metric can appear in classical as well as in quantum gravity. We show that if the linearized stochastic Gaussian gravitational-plane wave has the frequency spectrum <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>ω</mi><mrow><mn>4</mn><mi>γ</mi><mo>−</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo>≤</mo><mi>γ</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>), then the equal-time propagator of the scalar field behaves as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>p</mi><mrow><mo>−</mo><mfrac><mn>1</mn><mrow><mn>1</mn><mo>−</mo><mi>γ</mi></mrow></mfrac></mrow></msup></semantics></math></inline-formula> for large momenta. We discuss models of quantum-field theory where such anomalous behavior can appear. |
| first_indexed | 2024-03-09T15:46:24Z |
| format | Article |
| id | doaj.art-18ffed0755104b05b371f535ae584557 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T15:46:24Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-18ffed0755104b05b371f535ae5845572023-11-24T18:29:30ZengMDPI AGUniverse2218-19972022-12-0181264810.3390/universe8120648Quantum Scalar-Field Propagator in a Stochastic Gravitational-Plane WaveZbigniew Haba0Institute of Theoretical Physics, University of Wrocław, Plac Maxa Borna 9, 50-204 Wrocław, PolandA stochastic metric can appear in classical as well as in quantum gravity. We show that if the linearized stochastic Gaussian gravitational-plane wave has the frequency spectrum <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>ω</mi><mrow><mn>4</mn><mi>γ</mi><mo>−</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo>≤</mo><mi>γ</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>), then the equal-time propagator of the scalar field behaves as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>p</mi><mrow><mo>−</mo><mfrac><mn>1</mn><mrow><mn>1</mn><mo>−</mo><mi>γ</mi></mrow></mfrac></mrow></msup></semantics></math></inline-formula> for large momenta. We discuss models of quantum-field theory where such anomalous behavior can appear.https://www.mdpi.com/2218-1997/8/12/648scalar field propagatorgravitational wavesquantum gravity |
| spellingShingle | Zbigniew Haba Quantum Scalar-Field Propagator in a Stochastic Gravitational-Plane Wave Universe scalar field propagator gravitational waves quantum gravity |
| title | Quantum Scalar-Field Propagator in a Stochastic Gravitational-Plane Wave |
| title_full | Quantum Scalar-Field Propagator in a Stochastic Gravitational-Plane Wave |
| title_fullStr | Quantum Scalar-Field Propagator in a Stochastic Gravitational-Plane Wave |
| title_full_unstemmed | Quantum Scalar-Field Propagator in a Stochastic Gravitational-Plane Wave |
| title_short | Quantum Scalar-Field Propagator in a Stochastic Gravitational-Plane Wave |
| title_sort | quantum scalar field propagator in a stochastic gravitational plane wave |
| topic | scalar field propagator gravitational waves quantum gravity |
| url | https://www.mdpi.com/2218-1997/8/12/648 |
| work_keys_str_mv | AT zbigniewhaba quantumscalarfieldpropagatorinastochasticgravitationalplanewave |