### Abstract

The trace anomaly or, equivalently, the interaction measure is an important thermodynamic quantity/observable, since it is very sensitive to the non-perturbative effects in the gluon plasma. It has been calculated and its analytic and asymptotic properties have been investigated with the combined force of analytic and lattice approaches to the SU(3) Yang-Mills (YM) quantum gauge theory at finite temperature. The first one is based on the effective potential approach for composite operators properly generalized to finite temperature. This makes it possible to introduce into this formalism a dependence on the mass gap 2, which is responsible for the large-scale dynamical structure of the QCD ground state. The gluon plasma pressure as a function of the mass gap adjusted by this approach to the corresponding lattice data is shown to be a continuously growing function of temperature T in the whole temperature range [0,∞) with the correct Stefan-Boltzmann limit at very high temperature. The corresponding trace anomaly has a finite jump discontinuity at some characteristic temperature Tc = 266.5MeV with latent heat LH = 1.41. This is a firm evidence of the first-order phase transition in SU(3) pure gluon plasma. It is exponentially suppressed below Tc and has a complicated and rather different dependence on the mass gap and temperature across Tc. In the very high temperature limit its non-perturbative part has a power-Type fall off.

Original language | English |
---|---|

Article number | 1645026 |

Journal | International Journal of Modern Physics A |

Volume | 31 |

Issue number | 28-29 |

DOIs | |

Publication status | Published - Oct 20 2016 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics

### Cite this

*International Journal of Modern Physics A*,

*31*(28-29), [1645026]. https://doi.org/10.1142/S0217751X16450263

**The temperature-dependent Yang-Mills trace anomaly as a function of the mass gap.** / Gogokhia, V.; Shurgaia, A.; Vasúth, M.

Research output: Contribution to journal › Article

*International Journal of Modern Physics A*, vol. 31, no. 28-29, 1645026. https://doi.org/10.1142/S0217751X16450263

}

TY - JOUR

T1 - The temperature-dependent Yang-Mills trace anomaly as a function of the mass gap

AU - Gogokhia, V.

AU - Shurgaia, A.

AU - Vasúth, M.

PY - 2016/10/20

Y1 - 2016/10/20

N2 - The trace anomaly or, equivalently, the interaction measure is an important thermodynamic quantity/observable, since it is very sensitive to the non-perturbative effects in the gluon plasma. It has been calculated and its analytic and asymptotic properties have been investigated with the combined force of analytic and lattice approaches to the SU(3) Yang-Mills (YM) quantum gauge theory at finite temperature. The first one is based on the effective potential approach for composite operators properly generalized to finite temperature. This makes it possible to introduce into this formalism a dependence on the mass gap 2, which is responsible for the large-scale dynamical structure of the QCD ground state. The gluon plasma pressure as a function of the mass gap adjusted by this approach to the corresponding lattice data is shown to be a continuously growing function of temperature T in the whole temperature range [0,∞) with the correct Stefan-Boltzmann limit at very high temperature. The corresponding trace anomaly has a finite jump discontinuity at some characteristic temperature Tc = 266.5MeV with latent heat LH = 1.41. This is a firm evidence of the first-order phase transition in SU(3) pure gluon plasma. It is exponentially suppressed below Tc and has a complicated and rather different dependence on the mass gap and temperature across Tc. In the very high temperature limit its non-perturbative part has a power-Type fall off.

AB - The trace anomaly or, equivalently, the interaction measure is an important thermodynamic quantity/observable, since it is very sensitive to the non-perturbative effects in the gluon plasma. It has been calculated and its analytic and asymptotic properties have been investigated with the combined force of analytic and lattice approaches to the SU(3) Yang-Mills (YM) quantum gauge theory at finite temperature. The first one is based on the effective potential approach for composite operators properly generalized to finite temperature. This makes it possible to introduce into this formalism a dependence on the mass gap 2, which is responsible for the large-scale dynamical structure of the QCD ground state. The gluon plasma pressure as a function of the mass gap adjusted by this approach to the corresponding lattice data is shown to be a continuously growing function of temperature T in the whole temperature range [0,∞) with the correct Stefan-Boltzmann limit at very high temperature. The corresponding trace anomaly has a finite jump discontinuity at some characteristic temperature Tc = 266.5MeV with latent heat LH = 1.41. This is a firm evidence of the first-order phase transition in SU(3) pure gluon plasma. It is exponentially suppressed below Tc and has a complicated and rather different dependence on the mass gap and temperature across Tc. In the very high temperature limit its non-perturbative part has a power-Type fall off.

UR - http://www.scopus.com/inward/record.url?scp=84992371720&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992371720&partnerID=8YFLogxK

U2 - 10.1142/S0217751X16450263

DO - 10.1142/S0217751X16450263

M3 - Article

VL - 31

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 28-29

M1 - 1645026

ER -