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Théorie des Interactions Fondamentales
(9) Production(s) de l'année 2022
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All order resummed leading and next-to-leading soft modes of dense QCD pressure 
Auteur(s): Fernandez L., Kneur J.-L.
(Article) Publié:
Physical Review Letters, vol. 129 p.212001 (2022)
Texte intégral en Openaccess : 
Ref HAL: hal-03347966_v1
Ref Arxiv: 2109.02410
Ref INSPIRE: 1917540
DOI: 10.1103/PhysRevLett.129.212001
WoS: 001020960500004
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
Résumé: The cold and dense QCD equation of state (EoS) at high baryon chemical potential $\mu_B$ involves at order $\alpha^2_S$ an all-loop summation of the soft mode $m_E\sim \alpha_S^{1/2} \mu_B$ contributions. Recently, the complete soft contributions at order $\alpha^3_S$ were calculated, using the hard thermal loop (HTL) formalism. By identifying {\em massive} renormalization group (RG) properties within HTL, we resum to all orders $\alpha_S^p, p\ge 3$ the leading and next-to-leading logarithmic soft contributions. We obtain compact analytical expressions, that show visible deviations from the state-of-the art results, and noticeably reduced residual scale dependence. Our results should help to reduce uncertainties in extending the EoS in the intermediate $\mu_B$ regime, relevant in particular for the phenomenology of neutron stars.
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Conformal TBA for resolved conifolds
Auteur(s): Alexandrov S., Pioline Boris
(Article) Publié:
Annales De L'insitut Henri Poincare (A) Theoretical Physics, vol. 23 p.1909–1949 (2022)
Texte intégral en Openaccess :
Ref HAL: hal-03271316_v1
Ref Arxiv: 2106.12006
DOI: 10.1007/s00023-021-01129-x
WoS: 000722791700001
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
1 Citation
Résumé: We revisit the Riemann-Hilbert problem determined by Donaldson-Thomas invariants for the resolved conifold and for other small crepant resolutions. While this problem can be recast as a system of TBA-type equations in the conformal limit, solutions are ill-defined due to divergences in the sum over infinite trajectories in the spectrum of D2-D0-brane bound states. We explore various prescriptions to make the sum well-defined, show that one of them reproduces the existing solution in the literature, and identify an alternative solution which is better behaved in a certain limit. Furthermore, we show that a suitable asymptotic expansion of the $\tau$ function reproduces the genus expansion of the topological string partition function for any small crepant resolution. As a by-product, we conjecture a new integral representation for the double sine function.
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