Melting holographic mesons by cooling a magnetized quark gluon plasma
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Springer
Received: March 5, 2020 Accepted: May 9, 2020 Published: June 1, 2020
´ Daniel Avila, and Leonardo Pati˜ no Departamento de F´ısica, Facultad de Ciencias, Universidad Nacional Aut´ onoma de M´exico, A.P. 70-542, M´exico D.F. 04510, Mexico
E-mail: [email protected], [email protected] Abstract: We extend our analysis of holographic meson dissociation in the presence of an intense magnetic field. In addition to the previously known critical temperature above which the mesons melt, we found that for certain magnetic field intensities there exists a second lower critical temperature, below which stable mesons cease to exist. While we showed before that there is a range of high temperatures for which mesons can be melted by changing the magnetic field intensity, here we show that, as a consequence of the second critical point, there is also a range of low temperatures for which this phenomenom, which we term Magnetic Meson Melting (MMM), can be triggered. Additionaly, we also show that the magnetic field decreases the mass gap of the meson spectrum along with their masses. We are able to observe this by constructing a configuration that makes it possible to apply gauge/gravity methods to study fundamental degrees of freedom in a quark-gluon plasma subject to a magnetic field as intense as that expected in high energy collisions. This is achieved by the confection of a ten-dimensional background that is dual to the magnetized plasma and nonetheless permits the embedding of D7-branes in it. The main difference with previous approaches, which in consequence gives the novel results, is that the magnetic field retroacts in the geometry itself, as opposed to be confined to the world volume of the probe D7-branes. Keywords: AdS-CFT Correspondence, Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT), Holography and quark-gluon plasmas ArXiv ePrint: 2002.02470
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP06(2020)010
JHEP06(2020)010
Melting holographic mesons by cooling a magnetized quark gluon plasma
Contents 1
2 The gravitational background
4
3 Flavor D7-brane embeddings
7
4 Phase diagram
9
5 Thermodynamic analysis 5.1 Quark condensate 5.2 Free energy density 5.3 Entropy and energy densities
12 13 17 20
6 Meson spectrum
23
7 Discussion
27
A General truncation ansatz
29
B Boundary expansions of the background fields
31
C Holographic renormalization
31
D Computation of the quark condensate
34
1
Introduction
It has become increasingly accepted that an intense magnetic field is produced in high energy collisions and that understanding its effects is relevant to properly analyze experimental observations [1–5]. Two of the properties of QCD matter that are of interest are the quark condensate and meson masses, along with their behavior as functions of the magnetic field. The quark condensate is an order parameter for chiral symmetry breaking. It vanishes at high temperatures, where chiral symmetry is restored, but it
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