Infinite $N (\phi^2$)**3 in Three-dimensions on the Lattice

Kessler, David A.; Neuberger, Herbert

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

Infinite $N (\phi^2$ )**3 in Three-dimensions on the Lattice

Apr, 1985

5 pages

Published in:

Phys.Lett.B 157 (1985) 416-420

Published: 1985

DOI:

10.1016/0370-2693(85)90392-2

Report number:

Print-85-0320 (RUTGERS)

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Abstract: (Elsevier)

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

field theory: scalar
LATTICE FIELD THEORY: THREE-DIMENSIONAL
LATTICE FIELD THEORY: CRITICAL PHENOMENA
SYMMETRY: O(N)
EXPANSION 1/N

References(3)

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Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O( $N$ ) Symmetric $(\bar{\phi}^6_3$ in Three-Dimensions) Theory

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The Bardeen-moshe-bander Fixed Point and the Ultraviolet Triviality of $\phi^6$ in Three-dimensions

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- Phys. Rev. Lett. 53 (1984) 2071-2074 and Preprint - DAVID, F. (84,REC.AUG.) 9p
•
DOI:
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- Phys.Lett.B 131 382

Infinite N(ϕ2N (\phi^2N(ϕ2)**3 in Three-dimensions on the Lattice

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