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

School of Arts and Sciences, New High Energy Theory Center

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 (US)
Pages (from-to)	416-420
Number of pages	5
Journal	Physics Letters B
Volume	157
Issue number	5-6
DOIs	https://doi.org/10.1016/0370-2693(85)90392-2
State	Published - Jul 25 1985

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0370-2693(85)90392-2

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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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N2 - 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.

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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DO - 10.1016/0370-2693(85)90392-2

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EP - 420

JO - Physics Letters B

JF - Physics Letters B

IS - 5-6

ER -

Infinite N (ϕ2)3 3 on the lattice

Abstract

All Science Journal Classification (ASJC) codes

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