Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910498072559616 |
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| author | Ding, Ding Yu, Zhao Wan, Yidun |
| author_facet | Ding, Ding Yu, Zhao Wan, Yidun |
| contents | We develop a novel framework for describing quantum fluctuations in field theory, with a focus on cosmological applications. Our method uniquely circumvents the use of operator/Hilbert-space formalism, instead relying on a systematic treatment of classical variables, quantum fluctuations, and an effective Hamiltonian. Our framework not only aligns with standard formalisms in flat and de Sitter spacetimes, which assumes no backreaction, demonstrated through the $φ^3$-model, but also adeptly handles time-dependent backreaction in more general cases. The uncertainty principle and spatial symmetry emerge as critical tools for selecting initial conditions and understanding effective potentials. We discover that modes inside the Hubble horizon \emph{do not} necessarily feel an initial Minkowski vacuum, as is commonly assumed. Our findings offer fresh insights into the early universe's quantum fluctuations and potential explanations to large-scale CMB anomalies. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_16295 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Effective dynamics of quantum fluctuations in field theory: with applications to cosmology Ding, Ding Yu, Zhao Wan, Yidun General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory Quantum Physics We develop a novel framework for describing quantum fluctuations in field theory, with a focus on cosmological applications. Our method uniquely circumvents the use of operator/Hilbert-space formalism, instead relying on a systematic treatment of classical variables, quantum fluctuations, and an effective Hamiltonian. Our framework not only aligns with standard formalisms in flat and de Sitter spacetimes, which assumes no backreaction, demonstrated through the $φ^3$-model, but also adeptly handles time-dependent backreaction in more general cases. The uncertainty principle and spatial symmetry emerge as critical tools for selecting initial conditions and understanding effective potentials. We discover that modes inside the Hubble horizon \emph{do not} necessarily feel an initial Minkowski vacuum, as is commonly assumed. Our findings offer fresh insights into the early universe's quantum fluctuations and potential explanations to large-scale CMB anomalies. |
| title | Effective dynamics of quantum fluctuations in field theory: with applications to cosmology |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2312.16295 |