Phase transition in the nonlinear <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">SU</mi><mn></mn><mo>(</mo><mi>n</mi><mo>)</mo><mn></mn></math></span> lattice field theory

Belal E. Baaquie

doi:10.1103/PhysRevD.18.567

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Phase transition in the nonlinear $SU (n)$ lattice field theory

Belal E. Baaquie

Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

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Phys. Rev. D 18, 567 – Published 15 July, 1978

DOI: https://doi.org/10.1103/PhysRevD.18.567

Abstract

We solve for the phase diagram (phase transition) of the nearest-neighbor-coupling $SU (n)$ nonlinear scalar action. We do a one-loop calculation for the effective coupling constant, and find that the system undergoes a phase transition for dimension $d > 2$ . For $d = 2$ , the theory is asymptotically free.

References (6)

K. G. Wilson, Phys. Rev. D 10, 2455 (1974) B. E. Baaquie, ibid. 16, 2612 (1977)
B. E. Baaquie, Report No. SLAC-PUB-2125, 1978 (unpublished)
A. M. Polyakov, Phys. Lett. 59B, 79 (1975)
P. Cvitanović, Phys. Rev. D 14, 1536 (1976)
K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975)
K. G. Wilson and J. B. Kogut, Phys. Rep. 12C, 75 (1974)

[c1] K. G. Wilson, Phys. Rev. D 10, 2455 (1974) B. E. Baaquie, ibid. 16, 2612 (1977)

[c2] B. E. Baaquie, Report No. SLAC-PUB-2125, 1978 (unpublished)

[c3] A. M. Polyakov, Phys. Lett. 59B, 79 (1975)

[c4] P. Cvitanović, Phys. Rev. D 14, 1536 (1976)

[c5] K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975)

[c6] K. G. Wilson and J. B. Kogut, Phys. Rep. 12C, 75 (1974)

Physical Review D

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Phase transition in the nonlinear $SU (n)$ lattice field theory

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Phase transition in the nonlinear SU(n) lattice field theory

Abstract

References (6)

Phase transition in the nonlinear $SU (n)$ lattice field theory