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19952026
most citedHawking temperature in the tunneling picture

328 citations · 1.9k across the 70 of their papers we have counts for

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hep-th2026

Surprises of Klein paradox

T. R. Ahmadov, E. T. Akhmedov, V. I. Lapushkin

We consider second quantized dimensional Dirac fermions with mass in background electric fields. This theory mimics the following situations. We consider two parallel cap…

hep-th2026

Sine-Gordon solitons in AdS, dS and other hyperbolic spaces

E. T. Akhmedov, D. V. Diakonov

We find infinitely many soliton-like solutions in a deformation of the sine-Gordon theory in -dimensional (anti-de Sitter) spacetime for , as well as s…

hep-th2026

Does Schwinger's value for the current of created pairs gets modified for long and strong enough pulse?

E. T. Akhmedov, P. S. Zavgorodny

We determine the parametric conditions (pulse strength and duration) under which Schwinger's prediction for the pair-creation current - and therefore the probability - is significa…

hep-th2025

Lessons from the Klein paradox

E. T. Akhmedov, D. V. Diakonov, V. I. Lapushkin +1

We re-examine the Klein paradox from a many-particle perspective in quantum field theory. Specifically, we compute the expectation value of the particle current induced by a suffic…

hep-th2024★ 2 cited

On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-times

E. T. Akhmedov, I. A. Belkovich, D. V. Diakonov +1

We consider two approaches to calculate imaginary parts of effective actions in expanding space-times. While the first approach uses Bogolyubov coefficients, the second one uses th…

hep-th2024

On two approaches to quantization in strong background fields

E. T. Akhmedov, K. A. Kazarnovskii

There are two ways to quantize free (gaussian) theory in strong background fields. In one of them, which we refer to as the Heisenberg approach, the mode functions are defined once…

hep-th2024

Light fields in various patches of de Sitter space-time

E. T. Akhmedov, V. I. Lapushkin, D. I. Sadekov

We start with the consideration of the loop effects for light fields with non-zero mass in the expanding Poincaré patch of de Sitter space-time. We derive the Dyson-Schwinger equat…

hep-th2024

Higher loop corrections to the current of created pairs in the lengthy electric pulse

E. T. Akhmedov, P. S. Zavgorodny

The Schwinger's current appearing due to the breakdown of the vacuum in the strong constant electric pulse background is well known and calculated in many places. It appears due to…

hep-th2024★ 8 cited

Complex effective actions and gravitational pair creation

E. T. Akhmedov, D. V. Diakonov, C. Schubert

We use different methods to calculate the imaginary part of the gravitational effective action due to a massless scalar field, with a view on perturbative vs. non-pertubative and t…

hep-th2024

On the relevance of quantum corrections to the matter stress-energy tensor in eternally expanding universes

E. T. Akhmedov, A. V. Anokhin, K. A. Kazarnovskii

We study a toy-model of continuous infinite expansion of space-time with the flat start. We use as the gravitational background a conformaly flat metric with an exponentially growi…

hep-th2024★ 2 cited

Nontrivial self-consistent backreaction of quantum fields in 2D dilaton gravity

E. T. Akhmedov, P. A. Anempodistov, K. V. Bazarov

We consider -dimensional dilatonic black hole with two horizons, canonical temperatures of which do not coincide. We show that the presence of quantum fields in such a backg…

hep-th2023★ 7 cited

UV Dispersive Effects on Hawking Radiation

Emil T. Akhmedov, Tin-Long Chau, Pei-Ming Ho +3

We revisit the connection between Hawking radiation and high-frequency dispersions for a Schwarzschild black hole following the work of Brout et al.. After confirming the robustnes…

hep-th2023★ 4 cited

Loop corrections to the current of created pairs in the lengthy electric pulse

E. T. Akhmedov, P. S. Zavgorodny, D. I. Sadekov +1

We discuss loop-corrections to the electric current produced by strong and lengthy electric pulse. Namely we calculate one loop contribution to the electric current, distinguishing…

hep-th2022★ 5 cited

On the backreaction issue for the black hole in de Sitter space-time

E. T. Akhmedov, K. V. Bazarov

We consider quantum real massive scalar field in the de Sitter-Schwarzschild space-time backround. To have an analytic head way we study in detail the two-dimensional case, assumin…

hep-th2022★ 9 cited

Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces

E. T. Akhmedov, I. V. Kochergin, M. N. Milovanova

We consider quantum field theory with selfinteractions in various patches of Minkowski and de Sitter space-times. Namely, in Minkowski space-time we consider separately right (left…

hep-th2022★ 1 cited

The massless thermal field and the thermal fermion bosonization in two dimensions

Emil Akhmedov, Henri Epstein, Ugo Moschella

We come back to the issue of bosonization of fermions in two spacetime dimension and give a new costruction in the steady state case where left and right moving particles can coexi…

hep-th2021★ 10 cited

Free energy and entropy in Rindler and de Sitter space-times

E. T. Akhmedov, D. V. Diakonov

We investigate the free energy and entropy of the Gaussian massive scalar field theory in the static de Sitter space-time for arbitrary temperature. For the inverse temperatures of…

hep-th2021

Thermalization with non--zero initial anomalous quantum averages

E. T. Akhmedov, K. Kazarnovskii

We discuss the thermalization process in the kinetic approximation in the presence of non--zero initial anomalous quantum expectation values on top of an initial non--planckian (no…

hep-th2021★ 19 cited

Quantum fields in the future Rindler wedge

E. T. Akhmedov, K. V. Bazarov, D. V. Diakonov

We consider interacting massive scalar quantum field theory in the future Rindler wedge. This is a model example of quantum field theory in curved space--time. On this simple examp…

hep-th2020★ 6 cited

Currents of created pairs in strong electric fields

E. T. Akhmedov, A. V. Anokhin, D. I. Sadekov

We calculate tree--level currents of created particles in strong background electric fields in 4D QED for various initial states. Namely, we do that in pulse background for initial…

hep-th2020★ 9 cited

On interacting quantum fields in various charts of anti de Sitter space-time

E. T. Akhmedov, A. A. Artemev, I. V. Kochergin

The goal of the present note is to understand whether it is possible to define interacting quantum field theory in global anti de Sitter space-time with Lorentzian signature, in it…

hep-th2020★ 26 cited

Heating up an environment around black holes and inside de Sitter space

E. T. Akhmedov, P. A. Anempodistov, K. V. Bazarov +2

We study quantum fields on spacetimes having a bifurcate Killing horizon by allowing the possibility that left- and right- (in-going and out-going) modes have different temperature…

hep-th2020★ 22 cited

Quantum fields in the static de Sitter universe

E. T. Akhmedov, K. V. Bazarov, D. V. Diakonov +1

We construct explicit mode expansions of various tree-level propagators in the Rindler -- de Sitter universe, also known as the static (or compact) patch of the de Sitter spacetime…

hep-th2020★ 10 cited

Secularly growing loop corrections in scalar wave background

E. T. Akhmedov, O. Diatlyk

We consider two--dimensional Yukawa theory in the scalar wave background . If one takes as initial state in such a background the scalar vacuum corresponding to , then…