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

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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Newman, C. M. (1979). Short distance scaling and the maximal degree of a field theory. Physics Letters B, 83(1), 63-66. https://doi.org/10.1016/0370-2693(79)90889-X

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