SearcharxivSearch

arXiv subjects

Georgy Yu. Prokhorov

Publications and source records attributed to Georgy Yu. Prokhorov.

4 recordsLinked to original sources

Weyl anomaly induced transport in hydrodynamics

We show that the Weyl (trace) anomaly gives rise to a new non-dissipative vector current in accelerated relativistic fluids. The anomaly uniquely fixes the second-order transport coefficient governing the coupling between the electromagnetic field and the fluid acceleration. We derive this result by extending hydrodynamic anomaly matching to include the trace anomaly, and independently reproduce it in boundary quantum field theory by treating the Rindler horizon of an accelerated observer as an effective boundary. From the boundary perspective, the electric- and magnetic-field sectors correspond to screening and vacuum magnetization effects near the boundary. In the local rest frame, the electric-field contribution induces an additional charge density, while the magnetic-field contribution generates a transverse current with a Nernst-like, more generally thermomagnetic Hall-like, tensor structure. Our results reveal a new class of anomaly-induced transport governed by the trace anomaly.

hep-th

Viscosity, entanglement and acceleration

The Minkowski vacuum in an accelerated frame behaves like a fluid that has not only a finite temperature due to the Unruh effect, but also a finite shear viscosity. Moreover, the ratio of this viscosity to the entropy density exactly satisfies the Kovtun-Son-Starinets (KSS) bound, inspired by the string theory $ \eta/s=1/4\pi $. The origin of this viscosity is purely kinematical and is believed to be related to entanglement introduced by the Rindler horizon. We directly calculate the viscosity, entropy density, and their ratio for massless fields with spins 1/2 and 1. We show that locally the ratio of viscosity to entropy density can be below the limiting value $ 1/4\pi $ at distances of the order of the thickness of the membrane corresponding to the stretched horizon, and is described by the universal function for different spins. In particular, on the membrane surface $ \eta/s=1/8\pi $.

hep-th

Novel phase transition at the Unruh temperature

We consider gas of massless fermions at certain temperature T and acceleration a. We find a second order phase transition at temperature T approaching the Unruh temperature TU. The implications for hadronization of the quark-gluon plasma produced in heavy-ion collisions (HIC) and for black-hole physics are discussed. In particular, this novel phase transition may be associated with thermalization in HIC, indicating its analogy with falling into a black hole.

hep-th

Gravitational chiral anomaly and anomalous transport for fields with spin 3/2

In a fluid with vorticity and acceleration, an axial current arises in the third order of gradient expansion, called the kinematical vortical effect (KVE). While existing in the absence of gravitational fields, it is nevertheless associated with effects in curved space-time, namely with the gravitational chiral quantum anomaly. In this paper, the KVE transport coefficients were found using the Zubarev quantum-statistical density operator for the Rarita-Schwinger-Adler theory, which includes fields with spins 3/2 and 1/2. A prediction is made about the possible form of the transport coefficients for massless fields with arbitrary spin.

hep-th