• Open Access

D mesons as a probe of Casimir effect for chiral symmetry breaking

Tsutomu Ishikawa, Katsumasa Nakayama, Daiki Suenaga, and Kei Suzuki
Phys. Rev. D 100, 034016 – Published 13 August 2019

Abstract

We propose D mesons as probes to investigate finite-volume effects for chiral symmetry breaking at zero and finite temperatures. By using the 2+1-flavor linear sigma model with constituent light quarks, we analyze the Casimir effects for the σ mean fields; the chiral symmetry is rapidly restored by the antiperiodic boundary for light quarks, and the chiral symmetry breaking is catalyzed by the periodic boundary. We also show the phase diagram of the σ mean fields on the volume and temperature plane. For D mesons, we employ an effective model based on the chiral-partner structure, in which the volume dependence of D mesons is induced by the σ mean fields. We find that Ds mesons are less sensitive to finite volume than D mesons, which is caused by the insensitivity of σs mean fields. An anomalous mass shift of D mesons at high temperature with the periodic boundary will be useful in examinations with lattice QCD simulations. The dependence on the number of compactified spatial dimensions is also studied.

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  • Received 5 June 2019

DOI:https://doi.org/10.1103/PhysRevD.100.034016

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Tsutomu Ishikawa1,2,*, Katsumasa Nakayama3,†, Daiki Suenaga4,‡, and Kei Suzuki5,§

  • 1Graduate University for Advanced Studies (SOKENDAI), Tsukuba 305-0801, Japan
  • 2KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
  • 3Department of Physics, Osaka University, Toyonaka 560-0043, Japan
  • 4Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
  • 5Advanced Science Research Center, Japan Atomic Energy Agency (JAEA), Tokai 319-1195, Japan

  • *tsuto@post.kek.jp
  • katumasa@post.kek.jp
  • suenaga@mail.ccnu.edu.cn
  • §k.suzuki.2010@th.phys.titech.ac.jp

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Issue

Vol. 100, Iss. 3 — 1 August 2019

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