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Boyanovsky D. Neutrino collective excitations in the standard model at high temperature. Int J Clin Exp Med 2005. [DOI: 10.1103/physrevd.72.033004] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Hu BL, Verdaguer E. Stochastic Gravity: Theory and Applications. LIVING REVIEWS IN RELATIVITY 2004; 7:3. [PMID: 29142503 PMCID: PMC5660882 DOI: 10.12942/lrr-2004-3] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 02/27/2004] [Indexed: 05/25/2023]
Abstract
Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin equation, which has in addition sources due to the noise kernel. The noise kernel is the vacuum expectation value of the (operatorvalued) stress-energy bi-tensor which describes the fluctuations of quantum matter fields in curved spacetimes. In the first part, we describe the fundamentals of this new theory via two approaches: the axiomatic and the functional. The axiomatic approach is useful to see the structure of the theory from the framework of semiclassical gravity, showing the link from the mean value of the stress-energy tensor to their correlation functions. The functional approach uses the Feynman-Vernon influence functional and the Schwinger-Keldysh closed-time-path effective action methods which are convenient for computations. It also brings out the open systems concepts and the statistical and stochastic contents of the theory such as dissipation, fluctuations, noise, and decoherence. We then focus on the properties of the stress-energy bi-tensor. We obtain a general expression for the noise kernel of a quantum field defined at two distinct points in an arbitrary curved spacetime as products of covariant derivatives of the quantum field's Green function. In the second part, we describe three applications of stochastic gravity theory. First, we consider metric perturbations in a Minkowski spacetime. We offer an analytical solution of the Einstein-Langevin equation and compute the two-point correlation functions for the linearized Einstein tensor and for the metric perturbations. Second, we discuss structure formation from the stochastic gravity viewpoint, which can go beyond the standard treatment by incorporating the full quantum effect of the inflaton fluctuations. Third, we discuss the backreaction of Hawking radiation in the gravitational background of a quasi-static black hole (enclosed in a box). We derive a fluctuation-dissipation relation between the fluctuations in the radiation and the dissipative dynamics of metric fluctuations.
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Affiliation(s)
- Bei Lok Hu
- Department of Physics, University of Maryland, College Park, 20742-4111 Maryland USA
| | - Enric Verdaguer
- Departament de Fisica Fonamental and C.E.R. in Astrophysics, Particles and Cosmology Universitat de Barcelona, Av. Diagonal 647, 08028 Barcelona, Spain
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Wang SY, Boyanovsky D, de Vega HJ, Lee DS, Ng YJ. Damping rates and mean free paths of soft fermion collective excitations in a hot fermion-gauge-scalar theory. Int J Clin Exp Med 2000. [DOI: 10.1103/physrevd.61.065004] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Kumar SP, Boyanovsky D, de Vega HJ, Holman R. Anomalous pseudoscalar-photon vertex in and out of equilibrium. Int J Clin Exp Med 2000. [DOI: 10.1103/physrevd.61.065002] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Boyanovsky D, Holman R, Salgado JF. Analytic and numerical study of preheating dynamics. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 54:7570-7598. [PMID: 10020771 DOI: 10.1103/physrevd.54.7570] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Flanagan ÉÉ, Wald RM. Does back reaction enforce the averaged null energy condition in semiclassical gravity? PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 54:6233-6283. [PMID: 10020629 DOI: 10.1103/physrevd.54.6233] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Boyanovsky D, Lawrie ID, Lee D. Relaxation and kinetics in scalar field theories. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 54:4013-4028. [PMID: 10021080 DOI: 10.1103/physrevd.54.4013] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Boyanovsky D, D'Attanasio M, Holman R. Evolution of inhomogeneous condensates after phase transitions. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 54:1748-1762. [PMID: 10020850 DOI: 10.1103/physrevd.54.1748] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Campos A, Verdaguer E. Stochastic semiclassical equations for weakly inhomogeneous cosmologies. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 53:1927-1937. [PMID: 10020184 DOI: 10.1103/physrevd.53.1927] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Boyanovsky D, D'Attanasio M, Holman R, Lee D. Linear versus nonlinear relaxation: Consequences for reheating and thermalization. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1995; 52:6805-6827. [PMID: 10019220 DOI: 10.1103/physrevd.52.6805] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Boyanovsky D, Holman R, Lee D, Singh A. Dissipation via particle production in scalar field theories. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1995; 51:4419-4444. [PMID: 10018917 DOI: 10.1103/physrevd.51.4419] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Hu BL, Sinha S. Fluctuation-dissipation relation for semiclassical cosmology. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1995; 51:1587-1606. [PMID: 10018626 DOI: 10.1103/physrevd.51.1587] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Dalvit DA, Mazzitelli FD. Running coupling constants, Newtonian potential, and nonlocalities in the effective action. Int J Clin Exp Med 1994; 50:1001-1009. [PMID: 10017798 DOI: 10.1103/physrevd.50.1001] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Calzetta E, Hu BL. Noise and fluctuations in semiclassical gravity. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1994; 49:6636-6655. [PMID: 10016988 DOI: 10.1103/physrevd.49.6636] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Hu BL, Matacz A. Quantum Brownian motion in a bath of parametric oscillators: A model for system-field interactions. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1994; 49:6612-6635. [PMID: 10016987 DOI: 10.1103/physrevd.49.6612] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Campos A, Verdaguer E. Semiclassical equations for weakly inhomogeneous cosmologies. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1994; 49:1861-1880. [PMID: 10017170 DOI: 10.1103/physrevd.49.1861] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Huang WH. Effective action of a scalar field in a curved spacetime with a small inhomogeneity. Int J Clin Exp Med 1993; 48:3914-3917. [PMID: 10016668 DOI: 10.1103/physrevd.48.3914] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Boyanovsky D, Lee DS, Singh A. Phase transitions out of equilibrium: Domain formation and growth. Int J Clin Exp Med 1993; 48:800-815. [PMID: 10016309 DOI: 10.1103/physrevd.48.800] [Citation(s) in RCA: 96] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Calzetta E, Sakellariadou M. Semiclassical effects and the onset of inflation. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1993; 47:3184-3193. [PMID: 10015936 DOI: 10.1103/physrevd.47.3184] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Xu HH. Relation between real-time and imaginary-time formalisms of finite-temperature quantum field theory. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1993; 47:2622-2624. [PMID: 10015860 DOI: 10.1103/physrevd.47.2622] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Boyanovsky D. Quantum rolling down out of equilibrium. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1993; 47:2343-2355. [PMID: 10015824 DOI: 10.1103/physrevd.47.2343] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Hu BL, Paz JP, Zhang Y. Quantum Brownian motion in a general environment. II. Nonlinear coupling and perturbative approach. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1993; 47:1576-1594. [PMID: 10015735 DOI: 10.1103/physrevd.47.1576] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Hu BL, Paz JP, Zhang Y. Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1992; 45:2843-2861. [PMID: 10014675 DOI: 10.1103/physrevd.45.2843] [Citation(s) in RCA: 112] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Paz JP, Sinha S. Decoherence and back reaction in quantum cosmology: Multidimensional minisuperspace examples. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1992; 45:2823-2842. [PMID: 10014674 DOI: 10.1103/physrevd.45.2823] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Calzetta E. Particle creation, inflation, and cosmic isotropy. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1991; 44:3043-3051. [PMID: 10013758 DOI: 10.1103/physrevd.44.3043] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Calzetta E. Anisotropy dissipation in quantum cosmology. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1991; 43:2498-2509. [PMID: 10013638 DOI: 10.1103/physrevd.43.2498] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Calzetta E, Mazzitelli FD. Decoherence and particle creation. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1990; 42:4066-4069. [PMID: 10012817 DOI: 10.1103/physrevd.42.4066] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Paz JP. Dissipative effects during the oscillations around a true vacuum. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1990; 42:529-542. [PMID: 10012870 DOI: 10.1103/physrevd.42.529] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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