Short distance scaling and the maximal degree of a field theory

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Abstract

It is rigorously proved, under certain assumptions, that a (euclidean) scalar quantum field theory in space-time dimension d > 2 cannot exist if the degree q exceeds the critical value qc = 2d/(d - 2). The degree q is defined intrinsically and nonperturbatively but corresponds (formally) to the degree of the (polynomial) hamiltonian.

Original languageEnglish (US)
Pages (from-to)63-66
Number of pages4
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume83
Issue number1
DOIs
StatePublished - Apr 23 1979

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polynomials
scalars
scaling

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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title = "Short distance scaling and the maximal degree of a field theory",
abstract = "It is rigorously proved, under certain assumptions, that a (euclidean) scalar quantum field theory in space-time dimension d > 2 cannot exist if the degree q exceeds the critical value qc = 2d/(d - 2). The degree q is defined intrinsically and nonperturbatively but corresponds (formally) to the degree of the (polynomial) hamiltonian.",
author = "Newman, {Charles M.}",
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AB - It is rigorously proved, under certain assumptions, that a (euclidean) scalar quantum field theory in space-time dimension d > 2 cannot exist if the degree q exceeds the critical value qc = 2d/(d - 2). The degree q is defined intrinsically and nonperturbatively but corresponds (formally) to the degree of the (polynomial) hamiltonian.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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