On the deconfining transition of SU(∞) gauge theory

Sumit R. Das; John B. Kogut

doi:10.1016/0550-3213(85)90340-2

On the deconfining transition of SU(∞) gauge theory

Sumit R. Das, John B. Kogut

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Abstract

Monte Carlo simulations for twisted Eguchi-Kawai models with asymmetric couplings have been used to investigate the large-N deconfining phase transition of pure SU(N) gauge theories. Data with N = 25, 36, 49 and 64 and the variable asymmetry parameter ξ allow us to disentangle these theories' bulk first-order transition from their physical deconfining transition. The SU(64) data is in good agreement with asymptotic freedom and gives a critical temperature of T_c/Λ_E = 1 118 ± 6 or T_c/√σ = 0.42 + 0.05, which is close to the SU(3) ratio of deconfining temperature to the string tension. The data also suggest that the transition is first order.

Original language	English
Pages (from-to)	141-154
Number of pages	14
Journal	Nuclear Physics B
Volume	257
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(85)90340-2
State	Published - 1985

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(85)90340-2

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title = "On the deconfining transition of SU(∞) gauge theory",

abstract = "Monte Carlo simulations for twisted Eguchi-Kawai models with asymmetric couplings have been used to investigate the large-N deconfining phase transition of pure SU(N) gauge theories. Data with N = 25, 36, 49 and 64 and the variable asymmetry parameter ξ allow us to disentangle these theories' bulk first-order transition from their physical deconfining transition. The SU(64) data is in good agreement with asymptotic freedom and gives a critical temperature of Tc/ΛE = 1 118 ± 6 or Tc/√σ = 0.42 + 0.05, which is close to the SU(3) ratio of deconfining temperature to the string tension. The data also suggest that the transition is first order.",

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doi = "10.1016/0550-3213(85)90340-2",

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AU - Das, Sumit R.

AU - Kogut, John B.

PY - 1985

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N2 - Monte Carlo simulations for twisted Eguchi-Kawai models with asymmetric couplings have been used to investigate the large-N deconfining phase transition of pure SU(N) gauge theories. Data with N = 25, 36, 49 and 64 and the variable asymmetry parameter ξ allow us to disentangle these theories' bulk first-order transition from their physical deconfining transition. The SU(64) data is in good agreement with asymptotic freedom and gives a critical temperature of Tc/ΛE = 1 118 ± 6 or Tc/√σ = 0.42 + 0.05, which is close to the SU(3) ratio of deconfining temperature to the string tension. The data also suggest that the transition is first order.

AB - Monte Carlo simulations for twisted Eguchi-Kawai models with asymmetric couplings have been used to investigate the large-N deconfining phase transition of pure SU(N) gauge theories. Data with N = 25, 36, 49 and 64 and the variable asymmetry parameter ξ allow us to disentangle these theories' bulk first-order transition from their physical deconfining transition. The SU(64) data is in good agreement with asymptotic freedom and gives a critical temperature of Tc/ΛE = 1 118 ± 6 or Tc/√σ = 0.42 + 0.05, which is close to the SU(3) ratio of deconfining temperature to the string tension. The data also suggest that the transition is first order.

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SP - 141

EP - 154

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - C

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On the deconfining transition of SU(∞) gauge theory

Abstract

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