(Higgs)2,3 quantum fields in a finite volume - I. A lower bound

Tadeusz Bałaban

doi:10.1007/BF01403506

(Higgs)_2,3 quantum fields in a finite volume - I. A lower bound

Tadeusz Bałaban

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Abstract

We consider a Euclidean model of interacting scalar and vector fields in two and three dimensions, and prove a lower bound for vacuum energy in a lattice approximation. The bound is independent of a lattice spacing; it is proved with the help of renormalization transformations in Wilson-Kadanoff form. It extends in principal also to generating functional for Schwinger functions.

Original language	English (US)
Pages (from-to)	603-626
Number of pages	24
Journal	Communications In Mathematical Physics
Volume	85
Issue number	4
DOIs	https://doi.org/10.1007/BF01403506
State	Published - Dec 1982
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01403506

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title = "(Higgs)2,3 quantum fields in a finite volume - I. A lower bound",

abstract = "We consider a Euclidean model of interacting scalar and vector fields in two and three dimensions, and prove a lower bound for vacuum energy in a lattice approximation. The bound is independent of a lattice spacing; it is proved with the help of renormalization transformations in Wilson-Kadanoff form. It extends in principal also to generating functional for Schwinger functions.",

author = "Tadeusz Ba{\l}aban",

year = "1982",

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doi = "10.1007/BF01403506",

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AU - Bałaban, Tadeusz

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N2 - We consider a Euclidean model of interacting scalar and vector fields in two and three dimensions, and prove a lower bound for vacuum energy in a lattice approximation. The bound is independent of a lattice spacing; it is proved with the help of renormalization transformations in Wilson-Kadanoff form. It extends in principal also to generating functional for Schwinger functions.

AB - We consider a Euclidean model of interacting scalar and vector fields in two and three dimensions, and prove a lower bound for vacuum energy in a lattice approximation. The bound is independent of a lattice spacing; it is proved with the help of renormalization transformations in Wilson-Kadanoff form. It extends in principal also to generating functional for Schwinger functions.

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 4

ER -

(Higgs)_2,3 quantum fields in a finite volume - I. A lower bound

Abstract

All Science Journal Classification (ASJC) codes

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