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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 494, Pages 64–74
(Mi znsl6984)
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This article is cited in 1 scientific paper (total in 1 paper)
Infrared extensions of the quadratic form of the ground state of scalar field theory
T. A. Bolokhov St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Abstract:
We extend the quadratic forms of the Gaussian functionals of the free quantum scalar field theory to the set of functions decreasing in the infinity as $ |\vec{x}|^{-1} $. We use the momentum-space representation (after the Fourrier transform) and as the scalar product we take the product generated by the quadratic form of the Laplace operator (potential term of the quantum Hamiltonian).
Key words and phrases:
extensions of the quadratic form, free quantum Hamiltonian, singular perturbations of self-adjoint operators.
Received: 14.09.2020
Citation:
T. A. Bolokhov, “Infrared extensions of the quadratic form of the ground state of scalar field theory”, Questions of quantum field theory and statistical physics. Part 27, Zap. Nauchn. Sem. POMI, 494, POMI, St. Petersburg, 2020, 64–74
Linking options:
https://www.mathnet.ru/eng/znsl6984 https://www.mathnet.ru/eng/znsl/v494/p64
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Abstract page: | 64 | Full-text PDF : | 17 | References: | 16 |
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