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Renormalization of some one-space dimensional quantum field theories by unitary transformation

✍ Scribed by Paul Federbush

Publisher: Elsevier Science
Year: 1971
Tongue: English
Weight: 145 KB
Volume: 68
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(71)90242-9

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✦ Synopsis

A uniformly convergent sequence of unitary operators is defined which transforms the sequence of cut-off Hamiltonians, arranged in order of increasing cut-off energy, to a sequence of operators converging strongly on a dense set of states.

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Renormalization of the one-space dimensi

Renormalization of the one-space dimensional Yukawa model by unitary transformation

✍ Paul Federbush; Basilis Gidas 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 155 KB

A unitary transformation is used to renormalize the one-space dimensional Yukawa Model in a box. A momentum cut-off dependent sequence of unitary transformations is constructed such that weak limit matrix elements of the transformed Hamiltonian exist between a dense set of states as matrix elements