Quantum corrections during inflation and conservation of adiabatic perturbations
Abstract
The possibility that quantum corrections break the conservation of superhorizon adiabatic perturbations in single field inflation is examined. I consider the lowest order corrections from massless matter fields in the Hamiltonian formalism. Particular emphasis is therefore laid on the renormalization. The counterterms are the same as in the Lagrangian formalism. The renormalized value of the tadpole is zero. I find a possible secular dependence of the power spectrum at one loop due to the trace anomaly, but this result depends on the approximation of the modes and is inconclusive. The symmetry (not) violated by the quantum corrections is the invariance by dilatation. Perspectives on the backreaction problem are briefly discussed.
- Authors:
-
- Lehrstuhl fuer Astronomie, Universitaet Wuerzburg, Am Hubland, D-97074 Wuerzburg (Germany) and Georg-August-Universitaet, Institut fuer Astrophysik, Friedrich-Hund-Platz 1, 37077 Goettingen (Germany)
- Publication Date:
- OSTI Identifier:
- 21409288
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. D, Particles Fields
- Additional Journal Information:
- Journal Volume: 81; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.81.043535; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ADIABATIC INVARIANCE; APPROXIMATIONS; CORRECTIONS; DISTURBANCES; HAMILTONIANS; LAGRANGIAN FUNCTION; PERTURBATION THEORY; RENORMALIZATION; SPECTRA; SYMMETRY; CALCULATION METHODS; FUNCTIONS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS
Citation Formats
Campo, David. Quantum corrections during inflation and conservation of adiabatic perturbations. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVD.81.043535.
Campo, David. Quantum corrections during inflation and conservation of adiabatic perturbations. United States. https://doi.org/10.1103/PHYSREVD.81.043535
Campo, David. 2010.
"Quantum corrections during inflation and conservation of adiabatic perturbations". United States. https://doi.org/10.1103/PHYSREVD.81.043535.
@article{osti_21409288,
title = {Quantum corrections during inflation and conservation of adiabatic perturbations},
author = {Campo, David},
abstractNote = {The possibility that quantum corrections break the conservation of superhorizon adiabatic perturbations in single field inflation is examined. I consider the lowest order corrections from massless matter fields in the Hamiltonian formalism. Particular emphasis is therefore laid on the renormalization. The counterterms are the same as in the Lagrangian formalism. The renormalized value of the tadpole is zero. I find a possible secular dependence of the power spectrum at one loop due to the trace anomaly, but this result depends on the approximation of the modes and is inconclusive. The symmetry (not) violated by the quantum corrections is the invariance by dilatation. Perspectives on the backreaction problem are briefly discussed.},
doi = {10.1103/PHYSREVD.81.043535},
url = {https://www.osti.gov/biblio/21409288},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 81,
place = {United States},
year = {Mon Feb 15 00:00:00 EST 2010},
month = {Mon Feb 15 00:00:00 EST 2010}
}