The CPN-1 model: A strong coupling lattice approach

Eliezer Rabinovici; Stuart Samuel

doi:10.1016/0370-2693(81)90054-X

The CP^N-1 model: A strong coupling lattice approach

Eliezer Rabinovici^*
, Stuart Samuel

^*Corresponding author for this work

Racah Institute of Physics

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

36 Scopus citations

Abstract

We develop large N character-like expansion techniques for vector and vector-like models. These are used to compute the mass gaps and beta functions in the d = 2 CP^N-1 models. Surprisingly there is an intermediate region where neither strong coupling nor perturbation theory is applicable. This "unknown" region is a consequence of the non-commutativity of strong coupling and large N, an interesting mathematical effect not found in other models and due to an interesting physical phenomenon: superconfinement.

Original language	English
Pages (from-to)	323-326
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	101
Issue number	5
DOIs	https://doi.org/10.1016/0370-2693(81)90054-X
State	Published - 21 May 1981

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N2 - We develop large N character-like expansion techniques for vector and vector-like models. These are used to compute the mass gaps and beta functions in the d = 2 CPN-1 models. Surprisingly there is an intermediate region where neither strong coupling nor perturbation theory is applicable. This "unknown" region is a consequence of the non-commutativity of strong coupling and large N, an interesting mathematical effect not found in other models and due to an interesting physical phenomenon: superconfinement.

AB - We develop large N character-like expansion techniques for vector and vector-like models. These are used to compute the mass gaps and beta functions in the d = 2 CPN-1 models. Surprisingly there is an intermediate region where neither strong coupling nor perturbation theory is applicable. This "unknown" region is a consequence of the non-commutativity of strong coupling and large N, an interesting mathematical effect not found in other models and due to an interesting physical phenomenon: superconfinement.

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The CP^N-1 model: A strong coupling lattice approach

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