scholarly journals Transport coefficients from the two particle irreducible effective action

2003 ◽  
Vol 68 (8) ◽  
Author(s):  
Gert Aarts ◽  
Jose M. Martínez Resco
2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Dmitry Melnikov ◽  
Horatiu Nastase

Abstract In this paper we study the Wiedemann-Franz laws for transport in 2+1 dimensions, and the action of Sl(2, ℤ) on this transport, for theories with an AdS/CMT dual. We find that Sl(2, ℤ) restricts the RG-like flow of conductivities and that the Wiedemann-Franz law is $$ \overline{L}=\overline{\kappa}/\left( T\sigma \right)={cg}_4^2\uppi /3 $$ L ¯ = κ ¯ / Tσ = cg 4 2 π / 3 , from the weakly coupled gravity dual. In a self-dual theory this value is also the value of L = κ/(Tσ) in the weakly coupled field theory description. Using the formalism of a 0+1 dimensional effective action for both generalized SY Kq models and the AdS4 gravity dual, we calculate the transport coefficients and show how they can be matched at large q. We construct a generalization of this effective action that is invariant under Sl(2, ℤ) and can describe vortex conduction and integer quantum Hall effect.


2018 ◽  
Vol 5 (5) ◽  
Author(s):  
Kristan Jensen ◽  
Raja Marjieh ◽  
Natalia Pinzani-Fokeeva ◽  
Amos Yarom

We classify all possible allowed constitutive relations of relativistic fluids in a statistical mechanical limit using the Schwinger-Keldysh effective action for hydrodynamics. We find that microscopic unitarity enforces genuinely new constraints on the allowed transport coefficients that are invisible in the classical hydrodynamic description; they are not implied by the second law or the Onsager relations. We term these conditions Schwinger-Keldysh positivity and provide explicit examples of the various allowed terms.


1990 ◽  
Vol 4 (6) ◽  
pp. 262
Author(s):  
P.R. Wyman

1974 ◽  
Author(s):  
D. Bolmont ◽  
J. Salmon ◽  
M. Valton

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