### 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, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 83 |

Issue number | 1 |

DOIs | |

State | Published - Apr 23 1979 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Short distance scaling and the maximal degree of a field theory.** / Newman, Charles M.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Short distance scaling and the maximal degree of a field theory

AU - Newman, Charles M.

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.

UR - http://www.scopus.com/inward/record.url?scp=49249141253&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49249141253&partnerID=8YFLogxK

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 -