### Abstract

A method developed in several previous papers is combined with the method of induction to derive double dispersion relations, with Mandelstam boundary, for the class of single loop amplitudes with four or more vertices. The spectral functions are expressed as integral representations and restrictions on the masses and kinematic invariants for which dispersion relations are valid are found. It is also discussed how representations for the low order single loop amplitudes can be obtained for wider ranges of these variables.

Original language | English |
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Pages (from-to) | 1826-1834 |

Number of pages | 9 |

Journal | Journal of Mathematical Physics |

Volume | 15 |

Issue number | 11 |

Publication status | Published - 1973 |

Externally published | Yes |

### Cite this

*Journal of Mathematical Physics*,

*15*(11), 1826-1834.

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*Journal of Mathematical Physics*, vol. 15, no. 11, pp. 1826-1834.

**Double spectral representations of single loop amplitudes with k vertices : K ≥ 4.** / Frederiksen, J. S.

Research output: Contribution to journal › Article › Other

TY - JOUR

T1 - Double spectral representations of single loop amplitudes with k vertices

T2 - K ≥ 4

AU - Frederiksen, J. S.

PY - 1973

Y1 - 1973

N2 - A method developed in several previous papers is combined with the method of induction to derive double dispersion relations, with Mandelstam boundary, for the class of single loop amplitudes with four or more vertices. The spectral functions are expressed as integral representations and restrictions on the masses and kinematic invariants for which dispersion relations are valid are found. It is also discussed how representations for the low order single loop amplitudes can be obtained for wider ranges of these variables.

AB - A method developed in several previous papers is combined with the method of induction to derive double dispersion relations, with Mandelstam boundary, for the class of single loop amplitudes with four or more vertices. The spectral functions are expressed as integral representations and restrictions on the masses and kinematic invariants for which dispersion relations are valid are found. It is also discussed how representations for the low order single loop amplitudes can be obtained for wider ranges of these variables.

UR - http://www.scopus.com/inward/record.url?scp=36849097993&partnerID=8YFLogxK

M3 - Article

VL - 15

SP - 1826

EP - 1834

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

ER -