Quantum cosmological Friedman models with a Yang–Mills field and positive energy levels
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Publication:5305349
DOI10.1088/0264-9381/27/3/035007zbMath1186.83153arXiv0907.5403OpenAlexW3122422538MaRDI QIDQ5305349
Publication date: 22 March 2010
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Abstract: We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a Yang-Mills field, with or without mass term, if the spatial geometry of the underlying spacetime is homothetic to $R[3]$. The energy levels of the resulting quantum model, i.e., the eigenvalues of the corresponding self-adjoint Hamiltonian with a pure point spectrum, are strictly positive.
Full work available at URL: https://arxiv.org/abs/0907.5403
Relativistic cosmology (83F05) Yang-Mills and other gauge theories in quantum field theory (81T13) Methods of quantum field theory in general relativity and gravitational theory (83C47)
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