Meson excitation time as a probe of holographic critical point

We study the time evolution of expectation value of Wilson loop as a non-local observable in a strongly coupled field theory with a critical point at finite temperature and nonzero chemical potential, which is dual to an asymptotically AdS charged black hole via gauge/gravity duality. Due to inject...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2023-04, Vol.83 (4), p.301-17, Article 301
Main Author: Hajilou, Ali
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Black holes
Boundary conditions
Chemical potential
Critical point
Elementary Particles
Energy
Equilibrium
Excitation
Field theory
Gravity
Hadrons
Heavy Ions
Investigations
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Phase transitions
Physics
Physics and Astronomy
Plasma
Quantum Field Theories
Quantum Field Theory
Quarks
Regular Article - Theoretical Physics
Spacetime
String Theory
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Summary:We study the time evolution of expectation value of Wilson loop as a non-local observable in a strongly coupled field theory with a critical point at finite temperature and nonzero chemical potential, which is dual to an asymptotically AdS charged black hole via gauge/gravity duality. Due to inject of energy into the plasma, the temperature and a chemical potential increase to finite values and the plasma experiences an out-of-equilibrium process. By defining meson excitation time t ex as a time at which the meson falls into the final excited state, we investigate the behavior of t ex near the critical point as the system evolves towards the critical point. We observe that by increasing the interquark distance the dynamical critical exponent increases smoothly. Also, we obtain for slow quenches different values of the dynamical critical exponent, although for fast quenches our result for the dynamical critical exponent is in agreement with the one that is reported for studying the quasi-normal modes. Consequently, this indicates that in this model for fast quenches and small values of interquark distances the gauge invariant Wilson loop is a good non-local observable to probe the critical point.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-023-11453-7