The Similarity Renormalization Group

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dc.creatorSzpigel, Sergio
dc.creatorPerry, Robert J.
dc.date2000-09-06
dc.date.accessioned2026-07-07T03:42:32Z
dc.date.available2026-07-07T03:42:32Z
dc.descriptionQuantum field theories require a cutoff to regulate divergences that result from local interactions, and yet physical results can not depend on the value of this cutoff. The renormalization group employs a transformation that changes the cutoff to isolate hamiltonians that produce cutoff-independent eigenvalues. The similarity renormalization group is based on similarity transformations that regulate off-diagonal matrix elements, forcing the hamiltonian towards a band-diagonal form as the cutoff is lowered. This avoids pathologies that plagued tradition transformations acting on hamiltonians, making it possible to produce a well-behaved perturbative approximation of renormalized hamiltonians in asymptotically free theories. We employ a simple two-dimensional delta function example to illustrate this new renormalization technique.
dc.description28 pages, 7 postscript figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0009071
dc.identifierhttp://arxiv.org/abs/hep-ph/0009071
dc.identifierPublished in Quantum Field Theory, A 20th Century Profile
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39927
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleThe Similarity Renormalization Group
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