The Yukawa coupling of quantum fields in two dimensions. II

James Glimm

doi:10.1007/BF01646323

The Yukawa coupling of quantum fields in two dimensions. II

James Glimm

Applied Mathematics and Statistics

Stony Brook University

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

18 Scopus citations

Abstract

The Yukawa coupling in two dimensional space time is considered. A space outoff is introduced in the interaction term V, so that the renormalized Hamiltonian H_ren is a rigorously defined bilinear form in the Fock Hilbert space. The main result is that H_ren is positive provided the finite part of the renormalization terms are suitably chosen. As a consequence, the Schrödinger equation (i∂/∂t-H_ren)Φ=0 can be solved.

Original language	English
Pages (from-to)	61-76
Number of pages	16
Journal	Communications in Mathematical Physics
Volume	6
Issue number	1
DOIs	https://doi.org/10.1007/BF01646323
State	Published - Mar 1967

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title = "The Yukawa coupling of quantum fields in two dimensions. II",

abstract = "The Yukawa coupling in two dimensional space time is considered. A space outoff is introduced in the interaction term V, so that the renormalized Hamiltonian Hren is a rigorously defined bilinear form in the Fock Hilbert space. The main result is that Hren is positive provided the finite part of the renormalization terms are suitably chosen. As a consequence, the Schr{\"o}dinger equation (i∂/∂t-Hren)Φ=0 can be solved.",

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N2 - The Yukawa coupling in two dimensional space time is considered. A space outoff is introduced in the interaction term V, so that the renormalized Hamiltonian Hren is a rigorously defined bilinear form in the Fock Hilbert space. The main result is that Hren is positive provided the finite part of the renormalization terms are suitably chosen. As a consequence, the Schrödinger equation (i∂/∂t-Hren)Φ=0 can be solved.

AB - The Yukawa coupling in two dimensional space time is considered. A space outoff is introduced in the interaction term V, so that the renormalized Hamiltonian Hren is a rigorously defined bilinear form in the Fock Hilbert space. The main result is that Hren is positive provided the finite part of the renormalization terms are suitably chosen. As a consequence, the Schrödinger equation (i∂/∂t-Hren)Φ=0 can be solved.

UR - https://www.scopus.com/pages/publications/34250531547

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DO - 10.1007/BF01646323

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

The Yukawa coupling of quantum fields in two dimensions. II

Abstract

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