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Title: Point splitting renormalization of Schwinger induced current in de Sitter spacetime

Abstract

The covariant and gauge invariant calculation of the current expectation value in the homogeneous electric field in 1+3 dimensional de Sitter spacetime is shown. The result accords with previous work obtained by using adiabatic subtraction scheme. We therefore conclude the counterintuitive behaviors of the current in the infrared (IR) regime such as IR hyperconductivity and negative current are not artifacts of the renormalization scheme, but are real IR effects of the spacetime.

Authors:
 [1];  [2];  [1];  [2];  [3]
  1. Research Center for the Early Universe (RESCEU), Graduate School of Science,The University of Tokyo, Bunkyo, Tokyo, 113-0033 (Japan)
  2. (Japan)
  3. (Kavli IPMU),WPI, UTIAS, The University of Tokyo, Kashiwa, Chiba, 277-8583 (Japan)
Publication Date:
Sponsoring Org.:
SCOAP3, CERN, Geneva (Switzerland)
OSTI Identifier:
22572115
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 07; Other Information: PUBLISHER-ID: JCAP07(2016)012; OAI: oai:repo.scoap3.org:16337; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGICAL INFLATION; DE SITTER GROUP; DE SITTER SPACE; ELECTRIC FIELDS; EXPECTATION VALUE; FOUR-DIMENSIONAL CALCULATIONS; GAUGE INVARIANCE; INFLATIONARY UNIVERSE; INFRARED DIVERGENCES; MAGNETIC FIELDS; QUANTUM COSMOLOGY; RENORMALIZATION; SPACE-TIME

Citation Formats

Hayashinaka, Takahiro, Department of Physics, Graduate School of Science,The University of Tokyo, Bunkyo, Tokyo, 113-0033, Yokoyama, Jun’ichi, Department of Physics, Graduate School of Science,The University of Tokyo, Bunkyo, Tokyo, 113-0033, and Kavli Institute for the Physics and Mathematics of the Universe. Point splitting renormalization of Schwinger induced current in de Sitter spacetime. United States: N. p., 2016. Web. doi:10.1088/1475-7516/2016/07/012.
Hayashinaka, Takahiro, Department of Physics, Graduate School of Science,The University of Tokyo, Bunkyo, Tokyo, 113-0033, Yokoyama, Jun’ichi, Department of Physics, Graduate School of Science,The University of Tokyo, Bunkyo, Tokyo, 113-0033, & Kavli Institute for the Physics and Mathematics of the Universe. Point splitting renormalization of Schwinger induced current in de Sitter spacetime. United States. doi:10.1088/1475-7516/2016/07/012.
Hayashinaka, Takahiro, Department of Physics, Graduate School of Science,The University of Tokyo, Bunkyo, Tokyo, 113-0033, Yokoyama, Jun’ichi, Department of Physics, Graduate School of Science,The University of Tokyo, Bunkyo, Tokyo, 113-0033, and Kavli Institute for the Physics and Mathematics of the Universe. Fri . "Point splitting renormalization of Schwinger induced current in de Sitter spacetime". United States. doi:10.1088/1475-7516/2016/07/012.
@article{osti_22572115,
title = {Point splitting renormalization of Schwinger induced current in de Sitter spacetime},
author = {Hayashinaka, Takahiro and Department of Physics, Graduate School of Science,The University of Tokyo, Bunkyo, Tokyo, 113-0033 and Yokoyama, Jun’ichi and Department of Physics, Graduate School of Science,The University of Tokyo, Bunkyo, Tokyo, 113-0033 and Kavli Institute for the Physics and Mathematics of the Universe},
abstractNote = {The covariant and gauge invariant calculation of the current expectation value in the homogeneous electric field in 1+3 dimensional de Sitter spacetime is shown. The result accords with previous work obtained by using adiabatic subtraction scheme. We therefore conclude the counterintuitive behaviors of the current in the infrared (IR) regime such as IR hyperconductivity and negative current are not artifacts of the renormalization scheme, but are real IR effects of the spacetime.},
doi = {10.1088/1475-7516/2016/07/012},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 07,
volume = 2016,
place = {United States},
year = {Fri Jul 08 00:00:00 EDT 2016},
month = {Fri Jul 08 00:00:00 EDT 2016}
}