Quarks in an External Electric Field in Finite Temperature Large N Gauge Theory

By Tameem Albash, V. Filev, Clifford V. Johnson, Arnab Kundu. 2007

329 citations recorded by the source corpus.

We use a ten dimensional dual string background to study aspects of the physics of large N four dimensional SU(N) gauge theory, where its fundamental quarks are charged under a background electric field. The theory is N = 2 supersymmetric for vanishing temperature and electric field. We work in a limit where the quarks do not back-react. At zero temperature, we observe that the electric field induces a phase transition associated with the dissociation of the mesons into their constituent quarks. This is an analogue of an insulator-metal transition, since the system goes from being an insulator with zero current (in the applied field) to a conductor with free charge carriers (the quarks). At finite temperature this phenomenon persists, and the dissociation transition becomes subsumed into the more familiar meson melting transition. Here, the dissociation phenomenon reduces the critical melting temperature.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4cb29d6e51477455c91c963a888aae89f88f5a37

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Citations in the corpus

Analytic calculation of properties of holographic superconductors (2010, methodology): “In recent years it has been shown using the AdSd+1/CFTd correspondence [3] that for d = 3 and d = 4 we can create a strongly coupled superconducting system from its gravitational dual [4–7], also including an external magnetic field [8, 9].”
Lectures on holographic methods for condensed matter physics (2009, background): “straightforward to check (for details see [ 115 , 100]) that the X‘(x) are given by a Gaussian multiplied by Hermite polynomials, with eigenvalues 2qB(‘ + 1 ), with ‘2 Z + [f0g, and”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “Previous holographic studies of anisotropic plasmas include solutions dual to non-commutative SYM theories at finite temperature [10, 11, 12, 13, 14], gravity duals of p-wave superconductors[15, 16, 17, 18, 19, 20, 21], solutions dual to N = 4 SYM theory coupled to electromagnetic fields with [22, 2”
Supercurrent: Vector hair for an AdS black hole (2008, background): “Various related works discuss other aspects of superconductivity including partial discussions of Meissner effect and the non-abelian case [22, 23, 24, 25, 26, 27, 28].”
Charged magnetic brane solutions in AdS5 and the fate of the third law of thermodynamics (2009, methodology): “This brane solution is known analytically for all ρ and B; its spectrum of small fluctuations may be obtained systematically, and used to compute physical quantities such as electric and thermal conductivities [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12].”
Introduction to Holographic Superconductors (2010, background): “We will see that parts of the system start to become superconducting at a value Bc2 > 0 [1, 30].”
Analytical study on holographic superconductors in external magnetic field (2010, methodology): “Counting on the numerical calculations, the droplet solution [8, 9, 12] and the vortex configuration [12–14] have been found for the holographic superconductor in the presence of magnetic field.”
Holographic Superconductors (2008, result): “The computations in this subsection are similar to those in [7], but our interpretation is different.”