2021/05/31 by Qianqian Du, Michael Strickland, Ubaid Tantary
Physics and Astronomy · #Black Holes and Theoretical Physics #Debye #Energy density #Entropy (arrow of time) #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #Scalar (mathematics) #Spacetime #Supersymmetry #Thermal #Zero temperature #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1007/jhep08(2021)064
published as J. High Energ. Phys. 2021, 64 (2021) · 28 pages, 8 figures; v3: fix to soft contribution and final result, misc typos fixed, conclusions unchanged
openalex created_date 2021/05/10 · openalex publication_date 2021/08/01 · arxiv created 2021/11/23 · arxiv updated 2021/11/25 · openalex updated_date 2026/08/05
A bstract We calculate the resummed perturbative free energy of N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math> = 4 supersymmetric Yang-Mills in four spacetime dimensions (SYM 4 , 4 ) through second order in the ’t Hooft coupling λ at finite temperature and zero chemical potential. Our final result is ultraviolet finite and all infrared divergences generated at three-loop level are canceled by summing over SYM 4 , 4 ring diagrams. Non-analytic terms at O <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>O</mml:mi></mml:math> ( λ 3 / 2 ) and O <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>O</mml:mi></mml:math> ( λ 2 log λ ) are generated by dressing the A 0 and scalar propagators. The gauge-field Debye mass m D and the scalar thermal mass M D are determined from their corresponding finite-temperature self-energies. Based on this, we obtain the three-loop thermodynamic functions of SYM 4 , 4 to O <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>O</mml:mi></mml:math> ( λ 2 ). We compare our final result with prior results obtained in the weak- and strong-coupling limits and construct a generalized Padé approximant that interpolates between the weak-coupling result and the large- N c strong-coupling result. Our results suggest that the O <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>O</mml:mi></mml:math> ( λ 2 ) weak-coupling result for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for 0 ≤ λ ≲ 2.