Temperature dependence of two- and three-gluon condensates in the instanton vacuum

Jue Ping Liu; Ping Xiong Yang

doi:10.1088/0253-6102/27/2/229

Temperature dependence of two- and three-gluon condensates in the instanton vacuum

Jue Ping Liu^*
, Ping Xiong Yang

^*Corresponding author for this work

Wuhan University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The two-gluon and three-gluon condensates at finite temperature are calculated in the framework of the grand partition function for a weak-interacting instanton medium of a disordered phase. The interference parts of both chromomagnetic and chromoelectric two-gluon condensates are found to be small but still significant for a quantitative determination of the value of the condensates at very low temperature, and negligible at the temperature above 1.5Λ_MS, with respect to their non-interference ones. The interference parts of the three-gluon condensates are found to be quite small even at very low temperature. With the QCD scale parameter fixed by the value of the Lorentz invariant two-gluon condensate at zero temperature, the value of the three-gluon condensate at zero temperature is found to be co-incident with the phenomenological estimate. The values of the gluon condensates decrease when temperature increases, and are negligible when the temperature goes beyond 2.5Λ_MS in the case of the SU_c(3) pure gauge theory.

Original language	English
Pages (from-to)	229-240
Number of pages	12
Journal	Communications in Theoretical Physics
Volume	27
Issue number	2
DOIs	https://doi.org/10.1088/0253-6102/27/2/229
State	Published - 15 Mar 1997
Externally published	Yes

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title = "Temperature dependence of two- and three-gluon condensates in the instanton vacuum",

abstract = "The two-gluon and three-gluon condensates at finite temperature are calculated in the framework of the grand partition function for a weak-interacting instanton medium of a disordered phase. The interference parts of both chromomagnetic and chromoelectric two-gluon condensates are found to be small but still significant for a quantitative determination of the value of the condensates at very low temperature, and negligible at the temperature above 1.5ΛMS, with respect to their non-interference ones. The interference parts of the three-gluon condensates are found to be quite small even at very low temperature. With the QCD scale parameter fixed by the value of the Lorentz invariant two-gluon condensate at zero temperature, the value of the three-gluon condensate at zero temperature is found to be co-incident with the phenomenological estimate. The values of the gluon condensates decrease when temperature increases, and are negligible when the temperature goes beyond 2.5ΛMS in the case of the SUc(3) pure gauge theory.",

author = "Liu, \{Jue Ping\} and Yang, \{Ping Xiong\}",

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T1 - Temperature dependence of two- and three-gluon condensates in the instanton vacuum

AU - Liu, Jue Ping

AU - Yang, Ping Xiong

PY - 1997/3/15

Y1 - 1997/3/15

N2 - The two-gluon and three-gluon condensates at finite temperature are calculated in the framework of the grand partition function for a weak-interacting instanton medium of a disordered phase. The interference parts of both chromomagnetic and chromoelectric two-gluon condensates are found to be small but still significant for a quantitative determination of the value of the condensates at very low temperature, and negligible at the temperature above 1.5ΛMS, with respect to their non-interference ones. The interference parts of the three-gluon condensates are found to be quite small even at very low temperature. With the QCD scale parameter fixed by the value of the Lorentz invariant two-gluon condensate at zero temperature, the value of the three-gluon condensate at zero temperature is found to be co-incident with the phenomenological estimate. The values of the gluon condensates decrease when temperature increases, and are negligible when the temperature goes beyond 2.5ΛMS in the case of the SUc(3) pure gauge theory.

AB - The two-gluon and three-gluon condensates at finite temperature are calculated in the framework of the grand partition function for a weak-interacting instanton medium of a disordered phase. The interference parts of both chromomagnetic and chromoelectric two-gluon condensates are found to be small but still significant for a quantitative determination of the value of the condensates at very low temperature, and negligible at the temperature above 1.5ΛMS, with respect to their non-interference ones. The interference parts of the three-gluon condensates are found to be quite small even at very low temperature. With the QCD scale parameter fixed by the value of the Lorentz invariant two-gluon condensate at zero temperature, the value of the three-gluon condensate at zero temperature is found to be co-incident with the phenomenological estimate. The values of the gluon condensates decrease when temperature increases, and are negligible when the temperature goes beyond 2.5ΛMS in the case of the SUc(3) pure gauge theory.

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DO - 10.1088/0253-6102/27/2/229

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SN - 0253-6102

VL - 27

SP - 229

EP - 240

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

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ER -

Temperature dependence of two- and three-gluon condensates in the instanton vacuum

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