TY - JOUR
T1 - Short distance scaling and the maximal degree of a field theory
AU - Newman, Charles M.
N1 - Funding Information:
1 Alfred P. Sloan Research Fellow. Research supported in part by National Science Foundation Grant MCS 77-20683.
PY - 1979/4/23
Y1 - 1979/4/23
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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U2 - 10.1016/0370-2693(79)90889-X
DO - 10.1016/0370-2693(79)90889-X
M3 - Article
AN - SCOPUS:49249141253
VL - 83
SP - 63
EP - 66
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1
ER -