Functional Schrödinger equation approach to high-energy multiparticle scattering

Cornwall, JM; Tiktopoulos, G

dc.contributor.author	Cornwall, JM	en
dc.contributor.author	Tiktopoulos, G	en
dc.date.accessioned	2014-03-01T01:08:48Z
dc.date.available	2014-03-01T01:08:48Z
dc.date.issued	1992	en
dc.identifier.issn	0370-2693	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10706
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-13844282313&partnerID=40&md5=8a3d1c9eb3ed5c9be2bd1c17fe906da6	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.other	WEINBERG-SALAM THEORY	en
dc.subject.other	PERTURBATION-THEORY	en
dc.subject.other	BARYON-NUMBER	en
dc.subject.other	AMPLITUDES	en
dc.subject.other	BREAKDOWN	en
dc.subject.other	TEV	en
dc.title	Functional Schrödinger equation approach to high-energy multiparticle scattering	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	We summarize a series of arguments, based on semi-classical techniques, for calculating fixed-angle scattering amplitudes such as T2-->N in a weakly-coupled theory with coupling g2 much less than 1, and Ng2 greater-than-or-equal-to 1. These techniques are applied to the (functional) Schrodinger equation for the quartic oscillator, including the double well, and for d=4 field theories. The result is that for processes with no tunneling, T2-->N has the leading behavior exp(-alpha-N), alpha = O(1). (For the quartic oscillator, alpha=1/2pi.) For theories with tunneling, when the energy is at the top of the barrier, we make it plausible that T2-->N approximately exp(-1/2I), where I is the zero-energy (instanton) tunneling exponent.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics	en
dc.identifier.isi	ISI:A1992HX88200033	en
dc.identifier.volume	282	en
dc.identifier.issue	1-2	en
dc.identifier.spage	195	en
dc.identifier.epage	200	en