<i>U</i> and <i>V</i> sectors in the Bronzan-Lee model

Choudhury, A. L.

doi:10.1063/1.1666178

Cited by 2 publications

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References 17 publications

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“…The methods of solution of these integral equations are already well-known [10]. The same technique has been applied to determine the ~-funetions of some lower seetors of the BRONZAr~--LrE model [11]. In a previous paper [12] the LSZ-technique is used to calculate the scattering amplitudes in the VOi-sector of the multi-O LEE model.…”

Section: Introductionmentioning

confidence: 99%

Multichannel processes inVN- andVV-sectors in an extended lee model

Choudhury

1974

Acta Physica

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The LEHMANN--SYMANZIK--ZIMMERMANN (LSZ) formalism is used in an extended LEE model to calculate the multichannel scattering and production amplitudes in VN-and VV-sectors. The extended model is comprised of two heavy recoiiless particles V and N; and n O particles. The interactions ate in such a way that only processes V ~_ NOI, i = 1,2 .... , n, are allowed. In this multi-O LEE model, the z-functions are evaluated by solving the MAT-THEWS--SALAM equations in the VN-and VV-sectors. Finally the multichannel scattering and production amplitudes are obtained by using standard techniques.

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Section: Introductionmentioning

confidence: 99%

Multichannel processes inVN- andVV-sectors in an extended lee model

Choudhury

1974

Acta Physica

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The N-quantum approximation in the Bronzan–Lee extended-source static model

Scarfone

Burns

1977

Journal of Mathematical Physics

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The Bronzan–Lee model of a soluble field theory with vertex function is analyzed from the viewpoint of the N-quantum approximation. Determination of the Heisenberg field expansions in the single-source one- and two-meson sectors of the model yields three scattering amplitudes, a production amplitude, and the renormalization constants in agreement with other derivations. The solutions to one algebraic and three linear integral equations, the mathematical complexity of which is reminiscent of the Tamm–Dancoff eigenvalue approach in the Lee model with two nontrivial sources, are required for this purpose. Finite results compatible with the conventional renormalization program are obtained from the field expansions and the equations of motion by prescribing that each normal-ordered product of in-fields in an expansion have the same quantum numbers as its Heisenberg field and, so that all relevant terms are included for a sector, all possible combinations of in-fields consistent with the quantum numbers of the sector must occur. In general, this recipe is substituted in place of power counting, which evidently is inappropriate in higher sectors of the Lee model. The investigation of one- and two-meson exchange interactions of two sources in the Lee model via the N-quantum approximation has been carried out, and similar work is contemplated in charged scalar theory and the classic Chew–Low model.

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U and V sectors in the Bronzan-Lee model

Cited by 2 publications

References 17 publications

Multichannel processes inVN- andVV-sectors in an extended lee model

Multichannel processes inVN- andVV-sectors in an extended lee model

The N-quantum approximation in the Bronzan–Lee extended-source static model

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