Effective field theory of short-range forces

U. Van Kolck

doi:10.1016/S0375-9474(98)00612-5

Effective field theory of short-range forces

U. Van Kolck

Physics

Research output: Contribution to journal › Article › peer-review

298 Scopus citations

Abstract

The method of effective field theories (EFTs) is developed for the scattering of two particles at wavelengths which are large compared to the range of their interaction. It is shown that the renormalized EFT is equivalent to the effective range expansion, to a Schrödinger equation with a pseudo-potential, and to an energy expansion of a generic boundary condition at the origin. The roles of regulators and potentials are also discussed.

Original language	English (US)
Pages (from-to)	273-302
Number of pages	30
Journal	Nuclear Physics A
Volume	645
Issue number	2
DOIs	https://doi.org/10.1016/S0375-9474(98)00612-5
State	Published - Jan 11 1999

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0375-9474(98)00612-5

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title = "Effective field theory of short-range forces",

abstract = "The method of effective field theories (EFTs) is developed for the scattering of two particles at wavelengths which are large compared to the range of their interaction. It is shown that the renormalized EFT is equivalent to the effective range expansion, to a Schr{\"o}dinger equation with a pseudo-potential, and to an energy expansion of a generic boundary condition at the origin. The roles of regulators and potentials are also discussed.",

author = "{Van Kolck}, U.",

note = "Funding Information: I thank R. Jaffe and E. Lomon for proddingt he investigatioonf the connection betweenE FT and boundaryc onditionsE. xtensived iscussionsw ith R Bedaquew ere indispensabfleo r my understandinogf R countinga ndu seso f the trans.. .. er, dimeron. Helpfulc onversationwsi th S. Beane,T . Cohen,R . FurnstahlD, . Kaplan,G . Rupak,a nd B. Serota reg ratefullya cknowledgeTdh. is researchw as supporteidn partb y NSF grant PHY 94-20470a nd DOE grantD E-FG-03-97ER41014.",

year = "1999",

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doi = "10.1016/S0375-9474(98)00612-5",

language = "English (US)",

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N1 - Funding Information: I thank R. Jaffe and E. Lomon for proddingt he investigatioonf the connection betweenE FT and boundaryc onditionsE. xtensived iscussionsw ith R Bedaquew ere indispensabfleo r my understandinogf R countinga ndu seso f the trans.. .. er, dimeron. Helpfulc onversationwsi th S. Beane,T . Cohen,R . FurnstahlD, . Kaplan,G . Rupak,a nd B. Serota reg ratefullya cknowledgeTdh. is researchw as supporteidn partb y NSF grant PHY 94-20470a nd DOE grantD E-FG-03-97ER41014.

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N2 - The method of effective field theories (EFTs) is developed for the scattering of two particles at wavelengths which are large compared to the range of their interaction. It is shown that the renormalized EFT is equivalent to the effective range expansion, to a Schrödinger equation with a pseudo-potential, and to an energy expansion of a generic boundary condition at the origin. The roles of regulators and potentials are also discussed.

AB - The method of effective field theories (EFTs) is developed for the scattering of two particles at wavelengths which are large compared to the range of their interaction. It is shown that the renormalized EFT is equivalent to the effective range expansion, to a Schrödinger equation with a pseudo-potential, and to an energy expansion of a generic boundary condition at the origin. The roles of regulators and potentials are also discussed.

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