Infinite N (ϕ2)3 3 on the lattice

David A. Kessler; Herbert Neuberger

doi:10.1016/0370-2693(85)90392-2

Infinite N (ϕ2)3 3 on the lattice

David A. Kessler
, Herbert Neuberger

Rutgers - The State University of New Jersey, New Brunswick

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

17 Scopus citations

Abstract

It is shown that the N = ∞ phase diagram of latticized (φ{symbol}²)₃³ with only nearest-neighbor interactions has the same structure as the N = ∞ phase diagram of (φ{symbol}²)_3+ε{lunate}³ with a sharp momentum cutoff. Therefore the simplest lattice action does not exhibit the BMB phenomenon. More complicated actions might.

Original language	English
Pages (from-to)	416-420
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	157
Issue number	5-6
DOIs	https://doi.org/10.1016/0370-2693(85)90392-2
State	Published - 25 Jul 1985
Externally published	Yes

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title = "Infinite N (ϕ2)3 3 on the lattice",

abstract = "It is shown that the N = ∞ phase diagram of latticized (φ\{symbol\}2)33 with only nearest-neighbor interactions has the same structure as the N = ∞ phase diagram of (φ\{symbol\}2)3+ε\{lunate\}3 with a sharp momentum cutoff. Therefore the simplest lattice action does not exhibit the BMB phenomenon. More complicated actions might.",

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AU - Neuberger, Herbert

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AB - It is shown that the N = ∞ phase diagram of latticized (φ{symbol}2)33 with only nearest-neighbor interactions has the same structure as the N = ∞ phase diagram of (φ{symbol}2)3+ε{lunate}3 with a sharp momentum cutoff. Therefore the simplest lattice action does not exhibit the BMB phenomenon. More complicated actions might.

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Infinite N (ϕ2)3 3 on the lattice

Abstract

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