Multi-particle amplitudes at zero energy and momentum in scalar theory

Research output: Contribution to journalArticlepeer-review

56 Scopus citations


The behavior of multi-point Green functions at zero energy and momentum carried by all external particles is studied in the limit of large number of particles in a scalar theory with and without spontaneous breaking of a discrete symmetry. It is found that in the theory without the symmetry breaking the exact asymptotic behavior coincides with that given by the tree graphs, so that the loop corrections are not essential. In contrast, in the case of spontaneously broken symmetry the number of essential loops grows proportionally to the number of external particles.

Original languageEnglish (US)
Pages (from-to)233-248
Number of pages16
JournalNuclear Physics, Section B
Issue number1-2
StatePublished - Sep 21 1992

Bibliographical note

Funding Information:
It is my pleasure to acknowledge valuable as well as critical discussions with L. McLerran, M. Shifman and A. Vainshtein. This work is supported in part by DOE grant DE-ACO2-83ER40105.


Dive into the research topics of 'Multi-particle amplitudes at zero energy and momentum in scalar theory'. Together they form a unique fingerprint.

Cite this