Holographic correlation functions at finite density and/or finite temperature
نویسندگان
چکیده
A bstract We calculate holographically one and two-point functions of scalar operators at finite density and/or temperature. In the case zero temperature we argue that only can have non-zero VEVs. in which both chemical potential are finite, present a systematic expansion correlators powers T ?. The holographic result is agreement with general form OPE dictates function may be written as linear combination Gegenbauer polynomials $$ {C}_J^{(1)} C J 1 ( ? ) but coefficients depending now on potential, well CFT data. leading terms this originate from expectation values operator ? 2 , R-current {\mathcal{J}}_{\phi_3}^{\mu } ? 3 ? energy-momentum tensor ?? . By employing Ward identity for by comparing appropriate term correlator to corresponding OPE, derive value R-charge background. Compelling analysis thermodynamics black hole found. Finally, determine behaviour correlators, temperature, limit large temporal or spatial distance operators.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2022
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep11(2022)087