Short distance scaling and the maximal degree of a field theory

Charles M. Newman

doi:10.1016/0370-2693(79)90889-X

Short distance scaling and the maximal degree of a field theory

Charles M. Newman

Mathematics

Research output: Contribution to journal › Article › peer-review

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 q_c = 2d/(d - 2). The degree q is defined intrinsically and nonperturbatively but corresponds (formally) to the degree of the (polynomial) hamiltonian.

Original language	English (US)
Pages (from-to)	63-66
Number of pages	4
Journal	Physics Letters B
Volume	83
Issue number	1
DOIs	https://doi.org/10.1016/0370-2693(79)90889-X
State	Published - Apr 23 1979

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(79)90889-X

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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.}",

note = "Funding Information: 1 Alfred P. Sloan Research Fellow. Research supported in part by National Science Foundation Grant MCS 77-20683.",

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N2 - 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.

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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Short distance scaling and the maximal degree of a field theory

Abstract

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